Triangle ABC is defined by the points A(3,8), B(7,5), and C(2,3). Create an equation for a line passing through point A and perpendicular to BC.​

Answers

Answer 1

The required equation for a line passing through point A and perpendicular to BC exists 2y + 5x = 31.

How to estimate the slope of the line?

First, we must obtain the slope of the line perpendicular to BC

Given the coordinates B(7,5), and C(2,3)

Get the slope BC, exists

[tex]$m_{BC} = \frac{3-5}{2-7}[/tex]

= -2/-5 = 2/5

The slope of the line perpendicular to BC will be -5/2.

The slope of the required line in point-slope form exists expressed as;

[tex]$y - y_0 = m(x - x_0)[/tex]

m = -5/2

[tex](x_0, y_0) = (3, 8)[/tex]

Substitute the values into the formula we get

y - 8 = (-5/2)(x - 3)

2(y - 8) = (-5)(x - 3)

2y - 16 = (-5x + 15)

2y + 5x = 15 + 16

2y + 5x = 31

Therefore the required equation for a line passing through point A and perpendicular to BC exists 2y + 5x = 31.

To learn more about the slope of the line refer to:

https://brainly.com/question/19466805

#SPJ9


Related Questions

Solve each of the following graphically method method

A. Max Z = 10x1 + 20x2
Subject to
5x1+ 3x2 ≤ 30
3x1+ 6x2 ≤ 36
2x1+ 5x2 ≤ 20
x1 ≥ 0 , x2 ≥

Answers

Answer:

Step-by-step explanation:

To solve the given linear programming problem graphically, we'll plot the feasible region determined by the given constraints and then identify the optimal solution by maximizing the objective function Z = 10x1 + 20x2.

Step 1: Plotting the Constraints

We'll start by plotting the equations representing each constraint.

Constraint 1: 5x1 + 3x2 ≤ 30

To plot this constraint, we'll first find the points on the line 5x1 + 3x2 = 30. We can do this by setting x1 to 0 and solving for x2, then setting x2 to 0 and solving for x1.

Setting x1 = 0, we get: 3x2 = 30

x2 = 10

So, one point is (0, 10).

Setting x2 = 0, we get: 5x1 = 30

x1 = 6

So, another point is (6, 0).

Plotting these two points and drawing a line passing through them, we get a boundary line for the first constraint.

Constraint 2: 3x1 + 6x2 ≤ 36

Similarly, we find two points on the line 3x1 + 6x2 = 36.

Setting x1 = 0, we get: 6x2 = 36

x2 = 6

So, one point is (0, 6).

Setting x2 = 0, we get: 3x1 = 36

x1 = 12

So, another point is (12, 0).

Plotting these points and drawing a line passing through them, we get a boundary line for the second constraint.

Constraint 3: 2x1 + 5x2 ≤ 20

Again, we find two points on the line 2x1 + 5x2 = 20.

Setting x1 = 0, we get: 5x2 = 20

x2 = 4

So, one point is (0, 4).

Setting x2 = 0, we get: 2x1 = 20

x1 = 10

So, another point is (10, 0).

Plotting these points and drawing a line passing through them, we get a boundary line for the third constraint.

Step 2: Finding the Feasible Region

Now, we shade the region of the graph that satisfies all the constraints. The feasible region is the intersection of the shaded regions determined by each constraint.

Step 3: Maximizing the Objective Function

To maximize the objective function Z = 10x1 + 20x2, we look for the highest possible value within the feasible region. The optimal solution will be at one of the corner points of the feasible region.

We calculate the coordinates of each corner point formed by the intersection of the constraint lines and evaluate Z = 10x1 + 20x2 at each of these points. The corner point with the highest Z value will be the optimal solution.

By evaluating Z at each corner point, we can determine the optimal solution and its corresponding values of x1 and x2.

Note: Without specific numerical values for the corner points, I am unable to provide the exact coordinates and the optimal solution for this problem. However, by following the steps outlined above and evaluating the objective function at each corner point, you can identify the optimal solution for the given linear programming problem.

Hi. First of all, please give me 5 stars. There is the response:

To solve this problem graphically, we first plot the lines corresponding to the constraints, and then find the feasible region by shading the region that satisfies all constraints. Finally, we evaluate the objective function at each corner point of the feasible region to find the optimal solution.

The constraints can be rewritten in slope-intercept form as follows:

5x1 + 3x2 ≤ 30 => x2 ≤ (-5/3)x1 + 10

3x1 + 6x2 ≤ 36 => x2 ≤ (-1/2)x1 + 6

2x1 + 5x2 ≤ 20 => x2 ≤ (-2/5)x1 + 4

We plot these lines on a graph:

```

| / 5x1 + 3x2 = 30

6 +-------/------------

| / 3x1 + 6x2 = 36

| /

4 +----/--------------

| / 2x1 + 5x2 = 20

| /

2 +-/----------------

| /

|/

+------------------

0 2 4 6 8

```

Next, we shade the feasible region:

```

| /

6 +-------/-----RR-----

| / -----RR-----

| / -----RR-----

4 +----/-----RRR------

| / --RRRRRR------

| / -RRRRR--------

2 +-/----RRRR----------

| / R--------------

|/ R--------------

+------------------

0 2 4 6 8

```

The feasible region is the shaded area. There are 4 corner points: (0, 4), (4, 2), (6, 0), and (8/7, 26/21).

Finally, we evaluate the objective function at each corner point:

- (0, 4): Z = 10(0) + 20(4) = 80

- (4, 2): Z = 10(4) + 20(2) = 80

- (6, 0): Z = 10(6) + 20(0) = 60

- (8/7, 26/21): Z = 10(8/7) + 20(26/21) = 170/7

The optimal solution is (8/7, 26/21) with a maximum value of 170/7.

Finding the angle when given the right angle and two sides. Please show explanation. Thank you.

Answers

The measure of angle A in the right triangle is 75.52°

What is the measure of angle A?

The figure in the image is a right triangle.

Measure of angle A = ?

Adjacent to angle A = 2

Hypotenuse = 8

To solve for the measure of angle A, we use the trigonometric ratio.

Note: cosine = adjacent / hypotensue

Hence:

cos( A) = adjacent / hypotensue

cos( A ) = 2/8

cos( A ) = 1/4

Take the cos inverse

A = cos⁻¹( 1/4 )

A = 75.52°

Therefore, the measure of the angle is 75.52 degree.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

PLEASE HELP ASAP! For show and tell, Sophie brought 28 trading cards to class. During the day, Sophie got 54 more from her friends. How many trading cards does Sophie have now?

Answers

Answer:

84

Step-by-step explanation:

28+54=84

Answer:84

Step-by-step explanation:

Hi! So to start/set up the problem, since Sophie brought 28 cards, that is how many she has so, so far we only have, 28+_=_.

The next step is to add 54 cards since she added that many. Now we have 28+54=_.

The last step is to calculate.  28+54=84.

4Test 33 points possible 8/20 answered Question 6 < A B 0 Total 7 9 6 13 16 12 Total 20 25 18 Male Female A test was given to a group of students. The grades and gender are summarized below P(female B) > 22 41 63 1hr45mins X Progress saved Submit and End Blake If one student is chosen at random from those who took the test, find the probability that the student female GIVEN they got a 'B'. Write your answer as a reduced fraction.​

Answers

The probability of a student being female given that they got a 'B' is 87/315.

We can use Bayes' theorem to find the probability of a student being female given that they got a 'B'. Let's first find the total number of students who got a 'B':

Total number of students who got a 'B'

= 7 + 9 + 6 + 13 + 16 + 12

= 63

Out of these 63 students, the number of females who got a 'B' is:

Number of females who got a 'B' = 13 + 16 = 29

So, the probability of a student being female given that they got a 'B' is:

P(Female | B) = P(B | Female) x P(Female) / P(B)

From the given data, we can calculate these probabilities as follows:

P(B | Female) = 29/25

P(Female) = 25/63

P(B) = 63/175

Plugging in these values, we get:

P(Female | B)

= (29/25) x (25/63) / (63/175)

= 87/315

Therefore, the probability of a student being female given that they got a 'B' is 87/315.

Learn more about Bayes theorem here:

https://brainly.com/question/30747357

#SPJ1

Evaluate: 0.36×4.2_0.008÷25.5​

Answers

The value of the expression 0.36 × 4.2 - 0.008 ÷ 25.5 is approximately 1.5116863.

To evaluate the expression 0.36 × 4.2 - 0.008 ÷ 25.5, we follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, let's simplify the division: 0.008 ÷ 25.5 = 0.0003137 (rounded to six decimal places).

Now, we can substitute the simplified division back into the expression: 0.36 × 4.2 - 0.0003137.

Next, we perform the multiplication: 0.36 × 4.2 = 1.512.

Finally, we subtract the result of the multiplication from the simplified division: 1.512 - 0.0003137 = 1.5116863 (rounded to seven decimal places).

To learn more about the PEMDAS;

https://brainly.com/question/36185

#SPJ1

Mrs horwitz is wrapping a present in a rectangular prism box for mr roberts. the dimensions of the gift are 13 in by 8 in by 11 in. how much wrapping paper does she need. should mrs horwitz find the volume or surface area to figure out how much wrapping paper she needs. based on your answer above, find the solution. show all your work

Answers

Mrs. Horwitz needs 670 square inches of wrapping paper to wrap the present.

We have,

To figure out how much wrapping paper Mrs. Horwitz needs, she should find the surface area of the rectangular prism box.

The surface area of a rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Given dimensions:

Length (l) = 13 in

Width (w) = 8 in

Height (h) = 11 in

Plugging these values into the formula, we get:

Surface Area = 2(13)(8) + 2(13)(11) + 2(8)(11)

Surface Area = 208 + 286 + 176

Surface Area = 670 in²

Therefore,

Mrs. Horwitz needs 670 square inches of wrapping paper to wrap the present.

Learn more about Prism here:

https://brainly.com/question/12649592

#SPJ1

Toheebah ran round the playground 12 times. the playground is 240m by 160m.What distance did she cover?

Answers

Toheebah covered a distance of 9600 meters by running around the playground 12 times.To

How to determine 160m.What distance did she cover?

The perimeter of a rectangle can be calculated by adding the lengths of all four sides. In this case, the playground has dimensions of 240 meters by 160 meters, so the perimeter is:

Perimeter = 2 * (Length + Width)

Perimeter = 2 * (240m + 160m)

Perimeter = 2 * 400m

Perimeter = 800m

Therefore, the perimeter of the playground is 800 meters.

To find the distance Toheebah covered by running around the playground 12 times, we multiply the perimeter by 12:

Distance covered = Perimeter * Number of laps

Distance covered = 800m * 12

Distance covered = 9600m

So, Toheebah covered a distance of 9600 meters by running around the playground 12 times.

Learn more about distance at https://brainly.com/question/26550516

#SPJ9

Brennan knew his parents had set up their will some years ago. Neither he nor his sister, Maureen, had ever discussed the will with their parents. When both parents passed away, they met with the family lawyer about the will. What they found was that the money their parents had been giving them over the last few years was a gift and part of their estate planning. The gifts reduced the size of the estate to ensure the value of the estate upon their passing would be under the tax-free limit.
Their parents had not really talked with Brennan or Maureen about how the “gift” money they had been receiving would affect their final inheritance. As they listened to
the estate lawyer give them details of their inheritance, they were shocked to learn there was less than what they had thought.

1. Discuss your thoughts on how Brennan’s and Maureen’s parents handled the informationin the will prior to their passing. Should the parents have explained more clearly about the “gift” money and how it affected their inheritance?

2. What responsibility did Brennan and Maureen have to discuss the will with their parents?

3. What experience do you have with a family member’s will? How would you approach
the topic of writing a will with a family member?

Answers

1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.

2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.

3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.

1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.

2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

To know more about financial advisor based topics here

https://brainly.com/question/29767702

#SPJ1

Alex tested three brands of batteries to learn which would last the longest in a flashlight. He placed two brand “A” batteries in a flashing, turned the flashlight on, and measured the time and the light shined. He repeated the experiment with battery brands “B” and “C” using the same flashlight. He recorded the data on the bar graph below.

Which of these is an accurate conclusion that Alex can make about the batteries he tested?

A. Brand “C batteries lasted twice as long as brand “A” batteries.

B. Brand “C” batteries listed three times longer than brand “B” batteries

C. The light was twice as bright with brand “A” batteries than with brand “B” batteries.

D. The light shined three times farther with brand “C” batteries than with brand “B” batteries.

Answers

The correct statement regarding the bar graph is given as follows:

D. The light shined three times farther with brand “C” batteries than with brand “B” batteries.

What does a bar graph show?

A bar graph shows the output considering a given input.

Hence the bar graph in this problem shows the average lifetime for each battery type, given as follows:

Brand A: 270 minutes.Brand B: 120 minutes.Brand C: 360 minutes.

Brand C has triple the length of Brand B, hence the correct statement is given by option D.

More can be learned about bar graphs at brainly.com/question/28535024

#SPJ1

WHICH STATEMENT ABOUT A QUADRILATERAL IS TRUE

Answers

A quadrilateral is a polygon with four sides. All trapezoids have two pairs of parallel sides. Option (a) is correct.

Understanding the Properties of Quadrilateral

A quadrilateral is a polygon with four sides, and there are several properties and characteristics that can be true about a quadrilateral. Some possible true statements about a quadrilateral include:

1. A quadrilateral has four angles.

2. A quadrilateral has four vertices.

3. The sum of the interior angles of a quadrilateral is always 360 degrees.

4. A quadrilateral can have sides of different lengths.

5. A quadrilateral can have parallel sides.

Compare each of the properties above to the given options.

Options:

a) All trapezoids have two pairs of parallel sides.

b) Only some rectangles have four right angles.

c) All squares are rectangles.

d) Some rhombuses are trapezoids.

We can conclude that option (a) is correct because it correspond to the property 5 of a quadrilateral.

Learn more about quadrilateral here:

https://brainly.com/question/23935806

#SPJ1

How do I covert 45 degrees to a radian

Answers

Step-by-step explanation:

There are   pi radians in 180 degrees

  you want   1/4 of 180 degrees   (45/180 = 1/4)  

    so this would be   1/4 pi radians  or   pi / 4   radians

45 *   pi / 180 = pi/4  

Side panel MF Open course index Open block drawer Learnership Pre-Assessment and Evaluation v1 Figure Classification Assessment  QUIZ Figure Classification Assessment Back Time left 0:59:33 Question 1 Not yet answered Not graded Flag question Question text This test consists of several different items. Each item of the test appears in a separate question. The form of an item - item 25, say, is as follows:  You will notice that there are six boxes: 1 box in the first row 2 boxes in the second row, and 3 boxes in the third row In the top left-hand corner of each box, there is a letter labelling each box. For example, the letter ‚"A" labels the box in the first row. The number, which appears to the left of the box ‚"A" is the number of the item. In this example, it is item 25. Every item of the test will have this form, with each box containing a drawing of shapes or patterns. The following is an example of an item:  You must group the 6 drawings into two groups of 3 drawings each. The drawings of each group must be similar to one another in some way - they must belong together.   In the example  - item 25 - drawings A, B and F belong together because they are shaded the same way, and drawing C, D and E belong together because their shadings are the same. Now turn to your answer sheet and look at it carefully.   At the top of the page is 2 rows of 6 boxes. The first row of the boxes refers to the item "Example (i)" and the second row of the boxes refer to the item "Example (ii)."   Below these two rows are 24 rows of 6 boxes. Each row refers to a particular item of the test. The number which appears to the left of each row of boxes refers to the item number in the test.   Each row of 6 boxes is divided into 2 groups of 3 boxes.    The first box of each row contains the letter "A".   In the following two empty boxes, you insert the letters of the two drawings which belongs to the same group as that to which drawing A belongs.   In the second group of 3 empty boxes you must insert the letters of the other 3 drawings which belong together. Here is another example of an item - item 26.  In this item, drawings A, D and E belong together because their outlines consist of single lines. Drawings B, C and F belong together because their outlines consist of double lines.   The answer to this practice item should be filled in as follows:  Please note the following:   1.       It is NOT correct to find a reason for grouping together 3 drawings of an item, and assume that the other 3 drawings belong together.   For example, when solving item 26 (Previous page), it would be incorrect to group together drawings A, E and F on the basis that each of these is a 4-sided figure, and drawings B, C and D on the basis that they do not have 4 sides.   You must be able to find something common to the 3 drawings of each group.   2.       A drawing may NOT belong to both groups. For example, the response-  would be incorrect since the drawing "D" is common to both groups.   Select one: a. Continue b. Ask for assistance Clear my choice Question 2 Not yet answered Not graded Flag question Question text You must now do two example items on your own. These examples are on the next two pages. Please fill in the answers to the two examples in the first two rows of the answer sheet. These two rows are labelled “Example (i)" and “Example (ii)". Group the 6 drawings into two groups of 3 drawings each. The drawings of each group must be similar to one another in some way - they must belong together. Hint: Type the answer as one word e.g. ABC  Answeris the first group. Answeris the second group.​

Answers

The solution is: the dimensions of the flag in inches is:

40 inches by 55 inches.

The flag is rectangular in nature and the formula for calculating the perimeter of a rectangle is P = 2(L+W) where;

L is the length of the flag

W is the width of the flag

From the diagram, L = y and W = 11y/8

Since the perimeter = 190 inches, we will substitute the given parameters into the formula and firs calculate the value of y.

190 = 2(y+11y/8)

190 = 2y + 11y/4

multiply through by 4

760 = 8y+11y

760 = 19y

y = 760/19

y = 40

The length of the flag is 40 inches and the Width of the flag is 11(40)/8 = 55inches.

Hence, the dimensions of the flag in inches is 40 inches by 55 inches.

Learn more about perimeter here:

brainly.com/question/397857

#SPJ1

complete question:

Item 15 Question 1 Write and solve an equation to answer the question. The perimeter of the Norwegian flag is 190 inches. What are the dimensions of the flag? Equation: =190 y= Question 2 Label the dimensions of the flag in inches.

Answer:

Step-by-step explanation:

Find the length of side x to the nearest tenth.

Answers

Answer: x=6.6

Step-by-step explanation:

The is a 30-60-90 triangle, which means it falls into the special right triangles category

That means that the hypotenuse (x) is the smaller leg (sqrt11) multiplied by 2.

Sqrt11 times 2 is 6.6332495807108

Rounded to the nearest tenth would turn out to be 6.6

ANSWER ASAP!! (GIVING BRAINLIEST IF CORRECT!!)

Lindsey estimated the amount of liquid in a container to be 5 oz. The actual amount of liquid was 4 oz.

What is the percent error?

A: 10%

B: 15%

C: 20%

D: 25%

Answers

Answer:

and c 20

Step-by-step explanation:

20 percent of t is 1

5 -1 =4

Numbers 1 to 20 are placed in a bag. Without replacing the first number, what is the probability that the first number drawn will be odd and the second number be even?

Answers

Answer:

5/19 or 26.3%

---------------------------

There are total 20 numbers and half of them odd and half of them even.

Without replacement, the probability of an odd and then even number is:

P(odd then even) = P(odd) * P(even)P(odd then even) = 10/20 * 10/(20 - 1)P(odd then even) =1/2 * 10/19P(odd then even) = 5/19 or 26.3%

Venessa bought 80 apples for 4$.out of these apples 25 precent were rotten and had to be thrown away Vanessa sold the remaining apples at 6 cents per apple. What is the profit or loss percentage

Answers

The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.

Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.

Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.

Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.

For more question on profit

https://brainly.com/question/1446002

#SPJ8

Draw the following shapes on geoboard paper. Find the area of each shape by partitioning it into sub-shapes and finding the areas of the sub-shapes. Remember to label your answers.



Draw the following shapes on geoboard paper. Surround each triangle with a rectangle so that the vertices of the triangle are on the exterior of the rectangle. Think about how you can use rectangles to determine the areas of right triangles that are inside the rectangles. ​

Answers

Sorry my internet isn’t working well but we’ll answer

Answer:

I apologize, I am not able to provide visual drawings or diagrams. However, I can still provide a step-by-step guide to solve the problem.

To find the area of each shape, we need to use rectangles to determine the areas of right triangles that are inside the rectangles. Here are the steps:

1. Draw the given shape on geoboard paper.

2. Surround each triangle with a rectangle so that the vertices of the triangle are on the exterior of the rectangle.

3. Identify the right triangles that are inside the rectangles.

4. Use the formula for the area of a triangle, which is A = (base x height) / 2, to find the area of each right triangle.

5. Use the formula for the area of a rectangle, which is A = length x width, to find the area of each rectangle.

6. Add up the areas of the triangles and rectangles to find the total area of the shape.

Remember to label your answers with the correct units (square units).

Consider the quadrilateral above. It undergoes the following sequence of transformations:

Answers

Answer: (-2, -1)

Step-by-step explanation:

Ok since we just have to find A", let's transform only point A.

Point A=(-1, 5).

Now let's translate it: (-1+3, 5-4). Point A' = (2, 1).

Now, we have to do a 180° rotation. The formula is (-x, -y).

Point A'' = (-2, -1)

Find the missing probability.


P(B)=1/4P(AandB)=3/25P(A|B)=?

Answers

The missing probability is P(A|B) is 12/25 if P(B) is 1/4P and (A and B) is 3/25P.

P(B) = 1/4

P(A and B) = 3/25

The conditional probability is used to find the P(A|B):

P(A|B) = P(A and B) / P(B)

Conditional probability is defined as the number of possible outcomes from a given event based on the previous outcomes of the events.

By substituting the given values in the given probability, we get:

P(A|B) = (3/25) / (1/4)

Divide the fraction and multiply it with its reciprocal:

P(A|B) = (3/25) * (4/1)

P(A|B) = 12/25

Therefore, we can conclude that the missing probability is P(A|B) is 12/25.

To learn more about Probability

https://brainly.com/question/30034780

#SPJ1

The complete question is:

Find the missing probability.

P(B)=1/4P

(AandB)=3/25P

P(A|B)=?

help please ambree!!

Answers

Answer:

130 blackberries

Step-by-step explanation:

[tex]\displaystyle 600\biggr(\frac{78^\circ}{360^\circ}\biggr)=130[/tex]

need help fast just answer

Answers

Step-by-step explanation:

The volume of a pyramid is 1/3 bh

First step is to find the base

The area of a triangle is 1/2 bh

We have both b and h of the base triangle

Area of base = 16.5 cm^2

Now we can sub. that in with the volume formula

1/3 16.5 x 9

1/3 x 148.5

49.49999999999995

What are the values of the trigonometric ratios for this triangle?



Drag the answers into the boxes.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
sinθ
cosθ
tanθ
543435​43​​45​53
A right triangle. The hypotenuse is labeled as 5. The legs are labeled as 3 and 4. The angle opposite the side labeled 3 is theta.

Answers

The trigonometric ratios are expressed as;

sin θ = 3/5

cos θ = 4/5

tan θ = 3/4

How to determine the value

To determine the trigonometric ratios, we need to know the six identities.

These trigonometric identities are listed thus;

sinetangentcosinecotangentcosecantsecant

From the information given, we have that;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

We have that;

The hypotenuse is labeled as 5.

The adjacent leg is 4

The angle opposite the side labeled 3 is theta

Now, substitute the value to determine the ratios for each identity, we have that;

sin θ = 3/5

cos θ = 4/5

tan θ = 3/4

Learn more about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

If y varies directly as x, and y = 2 when x = 3, find y when x = 1.
a. y = 2x; y(1) =2
4
y = x; y(1) = 4
3
b.
3
2-x; 9(1) = 1/2
Y = 2 x; }
y
-
C.
d.
2
Y = 3 X; y(1) = ²
3

Answers

Answer:

2/3

Hope this helps

Write a sin function that has a midline of y=3, and amplitude of 2, and a period of 3/4.

Answers

The required sine function is

y = 2 sin (3π/4 (x) + 3

For given function,

A sine function that has a midline of 3, an amplitude of 2 and a period of 3pi/4

A = 2

T = 3π/4

Since we know

The values of all trigonometric functions depending on the ratio of sides in a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

In this case, the midline is 3

⇒ D = 3

Using the generalized equation of sine function,

y = A sin (B (x + C)) + D

y = 2 sin (3π/4 (x + 0) + 3

y = 2 sin (3π/4 (x) + 3

Therefore, the required sine function is

y = 2 sin (3π/4 (x) + 3

Learn more about sine function here:

brainly.com/question/26369761

#SPJ1

i think x is 10 but what do i write for the reason

thanks

Answers

Answer:

Step-by-step explanation:

Due to isosceles triangle , ∠ABC = ∠ACB = 7x

∠ACB + ∠ACD = 180  (  Linear pair I think )
7x + 110 = 180
7x = 70

x = 10°

Can someone please answer and provide an explanation for these problems?

Answers

The measure of the arc or angle indicated are:

(9). m∠KLN = 55°, (10). m∠LMN = 40°, (11). arc RT = 61°, (12). arc PR = 240°, (13). arc EG = 150° and (14). arc ? = 225°

How to calculate for the measure of the arc and angle indicated

(9). m∠KLN = 1/2(arc NK - arc MK) {secant tangent angle}

m∠KLN = 1/2(160 - 50)

m∠KLN = 110/2

m∠KLN = 55°

(10). m∠LMN = 1/2(140 - 60)

m∠LMN = 80/2

m∠LMN = 40°

(11). 60° = 1/2(181 - arc RT)

120° = 181 - arc RT {cross multiplication}

arc RT = 181 - 120

arc RT = 61°

(12). Angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference.

arc PR = 2(120)

arc PR = 240°

(13). arc EG = 2(75)

arc EG = 150°

(14). m∠TUV = 180 - arc TV {angle between two tangents}

arc TV = 180 - 45

arc TV = 135°

the larger arc ? = 360° - 135°

arc ? = 225°.

Therefore, the measure of the arc or angle indicated are:

(9). m∠KLN = 55°, (10). m∠LMN = 40°, (11). arc RT = 61°, (12). arc PR = 240°, (13). arc EG = 150° and (14). arc ? = 225°

Read more about arc and angle here:https://brainly.com/question/29545060

#SPJ1

please help me solve this

Answers

The minor arcs of the circle C are given as follows:

Arc LM.Arc MN.Arc NP.Arc PL.

How to classify the arcs of a circle?

The arcs of a circle can be classified as minor arcs or major arcs, depending on their angle measures, as follows:

Minor arcs: angle measure less than 180º.Major arcs: angle measure greater than 180º.

The entire circumference of the circle is of 360º, hence we have that segment LN, connecting two points on the circumference of the circle through the center, represents the diameter of the circle, with an arc length of 180º.

Hence the minor arcs are all the arcs that are smaller than LN, given as follows:

Arc LM.Arc MN.Arc NP.Arc PL.

More can be learned about the arcs of a circle at https://brainly.com/question/30894646

#SPJ1

a) Work out the area of the whole rectangle shown below. b) Use your answer to part a) to help you work out the area of the dotted, purple triangle. 4 cm 7 cm​

Answers

a) Area of rectangle = 28 cm²

b) Area of triangle = 14 cm²

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

Length of rectangle = 4 cm

Width of rectangle = 7 cm

Since, WE know that;

Area of rectangle = Lenght x Width

Hence, We get;

Area of rectangle = 4 x 7

Area of rectangle = 28 cm²

And, By figure,

Heigh of triangle = 4 cm

Base of triangle = 7 cm

Hence,

Area of triangle = 1/2 x 4 x 7

Area of triangle = 14 cm²

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ1

Let E be the event where the sum of two rolled dice is greater than 3
. List the outcomes in Ec

Answers

The number of possible outcomes that Event E has is 33.

The 36 possible conclusions when rolling two dice is given in the image.

Now, we need to find the event where the sum of two rolled dice is greater than 3

Then, from the outcomes given above we can write those pair whose sum is greater than 3 as

1 + 3=4

1 + 4= 5

1+ 5 = 6

1 + 6 = 7

2+ 2 = 4

2 + 3 = 5

2 + 4 =6

2 + 5 = 7

2 + 6 = 8

3 +3=6

3 + 4 = 7

3 + 5 =8

3 + 6 =9

4 + 3 =7

4 + 4=8

4 + 5 = 9

5+ 5 = 10

5 + 6= 11

6 + 6 = 12

So, there are 33 outcomes whose sum is greater than 3.

The picture related sum greater than 3 is attached below.

Learn more about Outcome of probability here:

https://brainly.com/question/30661698

#SPJ1

Number 6 look at the image

Answers

It would take Arron 3 hours to travel 18 miles upstream (against the river)

What is an equation?

An equation is an expression that shows how numbers and variables are related to each other using mathematical operations.

Speed is the ratio of total distance to total time taken.

Arron boat has a speed of 9 mph in still water and the speed of the river is 3 mph. Since he is travelling upstream, we subtract both speed:

He needs to travel 18 miles upstream at time t, hence:

(9 mph - 3 mph) = 18 miles / t

6t = 18

t = 3 hours

It would take Arron 3 hours

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Other Questions
4. Alex is painting a house. He uses 1/3 of thepaint he bought on the dining room. He usestwice as much on the living room as on thekitchen, where he uses 1 gallons. He has 12gallons of paint left. How much paint did Alexbuy? URGENT WILL GIVE BRAINLIEST Which of the following describesmore than one individual workingjointly on an activity?A. collaborationB. movementC. performanceD. theatre The Texas Constitution makes the governor a relatively weak executive; however, he maximizes influences with his tenure in office. his appointive powers. his veto power. all of these choices are true. 50 points!!! answer this quickly with an explanation Use this information to answer the questions.You are helping plan your sister's wedding. You decide to help set up a night to prepare the decorations and gift bags, but worry it all won't get done and you will be stuck doing the rest by yourself. Use the information below to help you know how long it will take to get everything done.1. You plan to have 2 people work on each task. How would you pair them up to complete each task in the shortest amount of time? Explain using rational expressions.2. What is the shortest amount of time it would take to complete all the tasks? If you know people have to leave your house by 9pm, what time should they come over to get started? Explain using rational expressions. 1) write the function of 3 organ of government The highest-ranking, priestly caste in india is known as the ______________. a. hindutva b. brahmans c. touchables d. sikhs e. dalits Order the number from least to greatest square root of 1, 1/3,2.5,square root of 2 Individuals displaying symptoms of pain in their arms and legs, fatigue and diffuse joint and bone pain are suffering from a chronic condition known as? Which stage of the general adaptation syndrome is characterized by the body's attempt to restore homeostasis? Consider a standard deck of playing cards. If 5 cards are selected randomly without replacement from this deck then what is the probability that all of these are red Write the Egyptian numeral as a Hindu-Arabic numeral cold war strategies and tactics can be best described as When did the United States first make laws restricting immigration Please help me with this i need big help in this The target heart rate zone is the range of exercise intensity that allows you to stress your cardiorespiratory system for optimal benefit without ______. A hypothetical planet has a mass 2.81 times that of Earth, but the same radius.What is g near its surface? In each milestone, you may want or need to use the database and query tool to answer some of the questions. We suggest you open the tool in another browser tab while you are working on this assessment. https://postgres.sophia.org/ Which of these constraints verifies that data in a column is based on columns in other tables which occurence is defined as the deep disruption of the corneal epithelium that extends into the stromal layer