Answer:
that these angles are inclusive of 0° and 360° because the question states that 0° ≤ Θ ≤ 360°.
Step-by-step explanation:
If csc Θ is undefined, that means that the sine of the angle is zero, because csc Θ is the reciprocal of the sine function, and division by zero is undefined.
So we need to find all the angles where sin Θ = 0.
The sine function is equal to zero at multiples of 180 degrees, so the solutions to sin Θ = 0 are:
Θ = 0°, 180°, 360°
Note that these angles are inclusive of 0° and 360° because the question states that 0° ≤ Θ ≤ 360°.
Determine the number of 4g cremora sachets that will make 1kg cremora box.
A total of 250 packets of 4g cremora will make 1kg cremora box.
What is function?A function is a elation between a dependent and independent variable.
Given are 4g cremora sachets.
We can write the total number of cremora sachets that will make 1kg cremora box as -
{n} = 1000/4
{n} = 250
Therefore, a total of 250 packets of 4g cremora will make 1kg cremora box.
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Arial says that, for any pair of linear realtions, if the coefficients of the y-terms are equal the coefficients of the x-terms are equal, the graphs of the two lines will be parallel. Give an example for which Arial's claim is true.
Arial's claim that the graphs of the two lines will be parallel if the coefficients are equal.
How to prove the claim ?If the coefficients of the y-terms are equal and the coefficients of the x-terms are equal, the two lines represented by the equations will be parallel. Parallel lines have the same slope and do not intersect, meaning that their graphs will never cross.
To prove Arial's claim, here is an example:
y = 2x + 1 and y = 2x + 3
The coefficients of the y-terms are equal in both equations, since they both have a coefficient of 2 in front of the x-term. The coefficients of the x - terms are also equal, since they both have a coefficient of 1 in front of the constant term thereby making them parallel.
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What type of figure is shown above?
Answer:
See below
Step-by-step explanation:
This is a triangular prism:
h = Perpendicular height of prism
Base shape = Triangle
t = Perpendicular height of triangle
Volume of triangular prism = Base Area × h
= Area of triangle × h
= [[tex]\frac{1}{2}[/tex] × Base of triangle × t] × h
= [[tex]\frac{1}{2}[/tex] × 5 in × 1.7 in] × 10 in
= 42.5 cubic inches
Total Surface Area = [2 × Base Area] + Lateral Surface Area
= [2 × Area of triangle] + [(Perimeter of triangle) × h]
= {2× [[tex]\frac{1}{2}[/tex] × 5 in × 1.7 in]} + [(5 in + 3 in + 3 in) × 10 in]
= 8.5 [tex]in^{2}[/tex] + 110 [tex]in^{2}[/tex]
= 118.5 square inches
A carnival charges $6 to enter and $.75 per ticket. Write a function rule that models this situation.
Rule:
The function rule that models this situation is that increase in the number of tickets would lead to an increase in the total cost charged for each individual.
What is a direct relationship between two values?A direct relationship between two values is said to exist when the increase in one value leads to the increase of the other.
The cost of 1 ticket = $.75
The cost to enter the carnival = $ 6
Therefore the total cost for each individual = 6+0.75 = $6.75
The cost for two tickets for two individuals = 2× 6.75 = $13.5.
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A blueprint of a concrete patio has a scale of 2 inches=5 feet. Use this to answer parts a, b, and c.
Expression for actual length and actual width of the concrete patio are
30x inches and 30y inches respectively.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.
Given,
A blueprint of a concrete patio has a scale of 2 inches=5 feet.
2 inches = 60 inches
scale factor = 60/2 = 30
Let length of the patio on the blue print is x inches
width of the patio on the blue print is y inches
then actual length of the 30x inches
actual width of the patio = 30y inches
Hence, 30x inches is actual length and 30y inches is actual width of the concrete patio.
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PLEASE HELP THIS IS S MATH TEST I NEED 4 QUESTIONS I'LL GIVE EXTRA POINTS
1 ).
Question
Select the values that are solutions of the inequality x/5≥3
2) Graph x<8
3)
Solve x−5≥1 and graph the situation
Question 4
Which graph represents the solution of 8≥x+6
Question 6
Solve 6m>24 then graph
1) values are 15, 16 and 17
2) Drawn in the graph (2)
3) [tex]x \geq 6[/tex] and graph (3)
Question 6) [tex]m > 4[/tex] and graph (6)
What is Inequality?In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
1)
As per the given data:
Values are: 12, 13, 14, 15, 16, 17
Given inequality:
[tex]\frac{x}{5} \geq 3\\= x \geq 5\times3\\= x \geq 15[/tex]
The values of [tex]x[/tex] greater than or equal to 15 out of the given values are:
15, 16 and 17
15, 16, 17 are the solutions of the given equality.
2)
Given inequality:
[tex]x < 8[/tex]
For making the graph, first draw the point [tex]x=8[/tex]
The region to the left of the point [tex]x=8[/tex] will represent the graph as shown in the diagram.
3)
Given inequality:
[tex]x-5\geq 1[/tex]
= [tex]x \geq 1 + 5[/tex]
= [tex]x \geq 6[/tex]
For making the graph, first draw the point [tex]x=6[/tex]
The region to the right and including the point [tex]x=6[/tex] will represent the graph as shown in the diagram.
6)
Given inequality:
[tex]6m > 24[/tex]
= [tex]m > \frac{24}{6}[/tex]
= [tex]m > 4[/tex]
For making the graph, first the plot the point m = 4.
The region to the right of the point m = 4 will represent the graph as shown in the diagram.
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Rickquan, wants a balance of $565 in his account. He deposited $65 in
his account and will save $25 per week. How many weeks will it take
Rickquan to reach his goal?
20
Step-by-step explanation:
cause 565-65 is 500 and divide that by 25 is 20.
Answer:
20 weeks
Step-by-step explanation:
starting with an initial 65 adding money each week after 20 weeks he would've added 500
1) A bakery used one-sixth of a bag of chocolate chips to make 8 batches of cookies. How
much of the bag did they use for each batch?
Answer:
Step-by-step explanation:
1/6 ÷ 8
1/6 × 1/8
1/48
for each batch
The elimination method was used to solve the following system of equations:
x2 – y = –3
x2 + y2 = 9
Which of the following is the correct y-coordinate of the solution? (5 points)
0
1
3
-4
Answer:
(c) 3
Step-by-step explanation:
You want the y-value of the solution to the equations ...
x² -y = -3x² +y² = 9EliminationWe are interested in the value of y, so it can be useful to eliminate x from the equation(s). The x² term appears in both, so it is convenient to subtract the first equation from the second.
(x² +y²) -(x² -y) = (9) -(-3)
y² +y = 12
y² +y -12 = 0 . . . . . . subtract 12
(y +4)(y -3) = 0 . . . . . factor
y = -4 or +3 . . . . . . . . values that make the factors zero
DomainSolving the first equation for y, we find ...
x² +3 = y . . . . . . . add y+3
We know that x² cannot be negative, so this tells us the values of y will be ...
y ≥ 3
Of the two solutions we found above, the value -4 is extraneous (not in the domain of y).
The y-coordinate of the solution is 3, choice C.
__
Additional comment
The solution is the point of intersection of the two curves shown in the attachment. The y-coordinate of that point is 3.
<95141404393>
2x+3y=11
x-3y = 1
What is the solution (x, y) to the given system of
equations?
Answer:
(x, y) = (4, 1)
i don't have an explanation lol
What are the ACT math formulas that you absolutely have to know?
The ACT Math section tests a wide range of mathematical concepts and skills, so there are many formulas and concepts that you should be familiar with.
Here are some of the most important ACT math formulas that you should know:
1. Basic operations: addition, subtraction, multiplication, and division.
2. Exponents and roots: [tex]a^n[/tex] means a multiplied by itself n times; the nth root of a is the number that, when raised to the nth power, gives a.
3. Order of operations: parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).
4. Fractions: converting between fractions, decimals, and percents; adding, subtracting, multiplying, and dividing fractions.
5. Algebra: solving equations and inequalities; simplifying algebraic expressions; factoring quadratics; understanding linear and quadratic functions.
6. Geometry: properties of lines, angles, and polygons; Pythagorean theorem; trigonometric functions; volume and surface area of 3D shapes.
7. Probability and statistics: calculating probabilities; mean, median, and mode; standard deviation.
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Solve for y. 2x - 1/4y = 1
Cory and Veronica each multiplied one/2×5/2 Cory got six/ four and Veronica Cook got five over four which student found the correct answer explain
Answer:
Veronica is correct
Step-by-step explanation:
1/2 x 5/2 = 5/4
1/2 + 5/2 = 6/4
The point (10, 10) is the midpoint of C and D. Given that the coordinates of C are (15, s) and the coordinates of D are (t, 3), solve for the values of the variables s and t. Show your work (HELP ME PLEASE)
Answer: T= 5 and s =17
Step-by-step explanation: Use the midpoint formula
Solve for T
^xm=^xC+^xD/2
15+t/2=10
15+t=20
Solve for S
^ym=^yC+^yD/2
s+3/2=10
s+3=20
what is -3x+y=6 on a graph?
The graph of the equation -3x+y=6 is linear and is attached with the answer below.
What is a linear equation?A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given linear equation is -3x+y=6. When we plot the linear equation -3x+y=6 on the graph it will be a straight line and the x and y-intercepts are -2 and 6 respectively.
The graph of the linear equation is attached with the answer below.
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Find area of figure with radius 20.8 ft, both terms of r and to the nearest tenth. Use 3.14 for r.
The area of this figure with radius 20.8 ft include the following: D. 432.64π ft² ≈ 1358.5 ft².
How to calculate the area of a circle?Mathematically, the area of a circle can be calculated by using this mathematical expression:
Area = πr²
Where:
r represents the radius of a circle.
By substituting the radius into the formula for the area of a circle, we have the following;
Area of circle = π × 20.8²
Area of circle = 432.64π square feet.
Area of circle = 1358.5 square feet.
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Find the value of z
6cm 15cm and right angle in triangle
For the given right triangle, the value of z is approximately 16.155 cm.
To find the value of z in a right triangle with sides 6 cm and 15 cm, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (z) is equal to the sum of the squares of the lengths of the other two sides (6 cm and 15 cm).
So we can write the equation:
z^2 = 6^2 + 15^2
Simplifying the equation:
z^2 = 36 + 225
Adding the numbers on the right side of the equation:
z^2 = 261
Taking the square root of both sides of the equation:
z = √261
Approximating the square root:
z ≈ 16.155
Therefore, the value of z is approximately 16.155 cm.
Note: The question is incomplete. The complete question probably is: Find the value of z (hypotenuse) if the other dimensions are 6cm, 15cm and right angle in triangle.
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how do i solve this -> y=x+46, y=7x+16
Answer:
x=5, y=51
Step-by-step explanation:
y = x + 46
y = 7x + 16 substitute equation 1 into equation 2 to get an expression all in terms of x, then solve for x
7x + 16 = x + 46
6x = 30
x = 30/6 = 5 substitute this into either equation and solve for y
y = 5 + 46 = 51
A human body that is performing light work generates about 700.0 BTUs of body heat per hour. If a room that is 12.0 x 13.0 x 11.0 is being painted by 3 people, how many BTUs per cubic foot do they produce in 2 hours
2.45 BTUs/ft³ is produced in 2 hours.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.It is given that a human body that is performing light work generates about 700 BTUs.
Total heat generated by 3 peoples in 1 hour -
Q{heat} = 3 x 700
Q{heat} = 2100 BTUs/hr
For the two hours -
Q{T} = 2100 x 2
Q{T} = 4200 BTUs ... { 1 }
Volume of the room -
V{R} = 12 x 13 x 11
V{R} = 1716 ft³ ... { 2 }
So, we can write as -
BTUs per cubic foot produced in 2 hours is -
{r} = Q{T}/V{R}
{r} = 4200/1716
{r} = 2.45 ft³
Therefore, 2.45 BTUs/ft³ is produced in 2 hours.
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What is the ratio of dL to L?
Answer:
Step-by-step explanation:
The ratio of a change in a quantity (dL) to the original quantity (L) is given by:
dL/L
This ratio can also be expressed as a percentage change, which is calculated by multiplying the ratio by 100:
(dL/L) * 100 = percent change
In general, the ratio of dL/L represents the fractional change in the quantity L and is used to quantify the effect of small changes in a system or process. For example, if L is the length of an object and dL is a small change in length, then dL/L represents the fractional change in length due to this change.
If the force of two forces is 12 N acting at an angle of 90° to one forces and their greatest force is 18 N, determine the two forces.
Answer:Let the magnitude of smaller force is P, the magnitude of larger force is Q and the resultant force is R.
As the resultant force makes 90
∘
with the smaller force P then Q forms the hypotenuse of the triangle.
Thus, it can be written as,
Q
2
−P
2
=R
2
Q
2
−P
2
=(12)
2
Q
2
−P
2
=144 (1)
The sum of magnitudes of two forces is given as,
P+Q=18
Q=18−P (2)
Substituting the value from equation (2) in equation (1), we get
(18−P)
2
−P
2
=144
P=5N
Substituting the value of P in equation (1), we get
Q=18−5
=13N
Thus, the magnitude of the forces are 5N and 13N.
Step-by-step explanation:
what is the measure of angle L?
what is x?
what is the measure of angle M?
SHOW YOUR WORK
The value of angle L, x and angle M is 55°, 35 and 60° respectively
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.
From the triangle:
∠OLM + ∠MLN = 180° (sum of angles in a straight line)
125 + ∠MLN = 180°
∠MLN = 55°
Also:
∠MLN + ∠MNL + ∠LMN = 180 (sum of angle in a triangle)
substituting:
55 + (2x - 10) + 65 = 180
2x + 110 = 180
2x = 70
x = 35°
∠LMN = 2x - 10 = 2(35) - 10 = 60°
The value of angle M is 60°
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I thought of a number, this number doubled is 9 more than the number itself. what is my number?
Possible answer: 9
Step-by-step explanation:
9 doubled is 18, and that is 9 more than the original number itself.
Unless I'm wrong.
Find x. Round your answer to the nearest tenth of a degree.
Answer:
x = 64.6 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent side / hypotenuse
cos x = 3/7
Taking the inverse cos of each side
x = cos^-1 ( 3/7)
x = 64.6 degrees
A number cube was rolled as part of an experiment. The results are displayed in the table below. Number 1 2 3 4 5 6 Frequency 4 6 5 7 3 5 What is the best explanation of how to find the experimental probability of rolling a 3? To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the number three. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the number three to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the number three. Simplify if necessary
The best explanation of how to find the experimental probability of rolling a 3:
To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have the Data as:
Number Frequency Probability
1 4 0.13
2 6 0.20
3 5 0.17
4 7 0.23
5 3 0.10
6 5 0.17
total 30 1.00
To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials.
= 5/30
= 1/6
= 0.166
= 16.6% or 17%.
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1, 6, 36, 216, 1296...
Write the recursive form of the sequence above.
Tn = 6Tn-1 is the recursive form of the sequence
Finding the recursive function of a geometric sequenceA geometric sequence is determined by its common ratio. The standard recursive formula is expressed as:
Tn = rTn-1
Determine the common ratio of the sequence
r = 6/1 = 36/6
r = 6
Substitute the common ratio into the formula to have:
Tn = 6Tn-1
Hence the recursive form of the sequence above is Tn = 6Tn-1
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I NEED HELP ON THIS ASAP!!!
The system of linear inequalities (x, y) has a solution that is (-1, 2)
What is the system of linear inequalityA system of linear inequalities is identical to a system of linear equations, but instead of equations, it is made up of inequalities. Many constraint scenarios are modeled using sets of linear inequalities.
We may determine the values of x and y in the above problem as;
x + y > 1 ...eq(i)
-x + y <= 3 ...eq(ii)
Solving both inequalities;
The solution is;
1 - x < y ≤ 3 + x
This is simple to plot on a graph, and the intersection will provide the answer;
The graph below shows the inequality's (x, y) solution, which is (-1, 2)
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a process in which a number is changed, such as by adding, subtracting, dividing or multiplying is definition of _____
Answer:operation
Step-by-step explanation:
David drove 603 miles in 9 hours.
At the same rate, how many miles would he drive in 13 hours?
Answer:871
Step-by-step explanation:If he drove 603 miles in 9 hours, he drove 67 miles per hour. So in 13 hours he will drive 67x13, which is 871.
Answer:
Step-by-step explanation:
David would drive 871 miles. This is because 603 ÷ 9 = 67.
So, you'd have to multiply 67 times 13. Because 67 is the average mph.
Stefan is decorating a rectangular cake. He will put blue icing on the top three-fourths of the cake, as shown in this model. He will put red dots on the left one-fifth of the cake, as shown in this model. What fraction of the cake will have both blue icing and red dots? .