Analyze the diagram below and complete the instructions to follow.

Find a, b and c

Analyze The Diagram Below And Complete The Instructions To Follow.Find A, B And C

Answers

Answer 1

Answer/Step-by-step explanation:

✔️Using trigonometric ratio, find b:

Reference angle = 45

opposite = 8

Hypotenuse = b

Thus,

Sin(45) = 8/b

b = 8/sin(45)

b = 8/(1/√2) (sin 45 = 1/√2)

b = 8 × √2/1

b = 8√2

✔️Find a using trigonometric ratio:

Reference angle = 60°

Hypotenuse = b = 8√2

Adjacent = a

Therefore,

Cos(60) = a/8√2

8√2*cos(60) = a

8√2*½ = a

4√2 = a

a = 4√2

✔️Find c using Pythagorean Theorem:

c² = b² - a²

c² = (8√2)² - (4√2)²

c² = 128 - 32

c² = 96

c = √96

c = √(16*6)

c = 4√6


Related Questions

Daniel wants to buy a used car to get back and forth to work

Answers

Answer:

thats good on daniel it will save him time.

Answer:

Yea it will save him time

Step-by-step explanation:

There's no question so...

Suppose that out of 20% of all packages from Amazon are delivered by UPS. 15% of the packages that are delivered by UPS weighs 2 lbs or more. Also, 7% of the packages that are not delivered by UPS weighs less than 2 lbs. a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more

Answers

Answer:

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: It weighs 2 lbs or more

Event B: Delivered by UPS

15% of the packages that are delivered by UPS weighs 2 lbs or more.

This means that [tex]P(A \cap B) = 0.15[/tex]

More than 2 lbs:

15% of 20%(UPS)

93% of 80%(Not delivered by UPS). So

[tex]P(A) = 0.15*0.2 + 0.93*0.8 = 0.774[/tex]

a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.774} = 0.1938[/tex]

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more

The electric-vehicle manufacturing company Tesla estimates that a driver who commutes miles per day in a Model S will require a nightly charge time of around hour and minutes ( minutes) to recharge the vehicle's battery (Tesla company website). Assume that the actual recharging time required is uniformly distributed between and minutes.
A. Give a mathematical expression for the probability density function of battery recharging time for this scenario.
B. What is the probability that the recharge time will be less than 110 minutes?C. What is the probability that the recharge time required is at least 100 minutes?D. What is the probability that the recharge time required is between 95 and 110 minutes?

Answers

Answer:

Following are the solution to the given points:

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, we assume that "x" denotes as  an actual time of the  battery charging, that is a uniform random variable that [tex]x \sim U(90, 120)[/tex]

 In point a:

so, pdf of x =

[tex]\to f(x)= \frac{1}{120-90} = \frac{1}{30} \\\\\to 90 < x <120[/tex]

In point b:

To find

[tex]\to P(x<110) = \int^{110}_{90} \frac{1}{30} \ dx\\\\=\frac{110-90}{30}\\\\=\frac{20}{30}\\\\=\frac{2}{3}\\\\[/tex]

In point c:

[tex]\to P(x<100) = \int^{100}_{90} \frac{1}{30} \ dx \\\\= \frac{100-90}{30}\\\\= \frac{10}{30}\\\\= \frac{1}{3}\\\\[/tex]

In point d:

[tex]\to P(95< x< 110)[/tex]

[tex]= \int^{110}_{95} \frac{1}{30} \ dx\\\\= \frac{110-95}{30} \\\\= \frac{15}{30} \\\\= \frac{1}{2}[/tex]

If -4 ( 5x - 1) = 196, what is x?

Answers

Answer:

10

Step-by-step explanation:

divide each side by -4

5x-1=-49

5x=50

x=10

Answer:

x = -9.6

Explanation:

First you the distributive property. -4(5x)=-20x and -4(-1)=4. Now we have -20x + 4 = 196. To single out the variable we subtract 4 from both sides. 4 - 4 = 0 and 196 - 4 = 192, now we have -20x = 192. Finally divide by -20 on both sides, -20 ÷ -20 = 1, 1x is the same as x. 192 ÷ -20 = -9.6. There your have it.

-4(5x - 1)= 196, x = -9.6.

solve 10x + 5y = 9 for y​

Answers

Answer:

y= 9-10X/5

Step-by-step explanation:

Plz make me braibliest

Answer:

10x+5y=9 years

or,15xy=9 years

or,xy=15÷9

Ans=6xy.

A Furniture maker used 9/10 of a can of paint to paint 9 chairs. she used the same amount of paint for each chair. How many cans of paint did she use for each chair in

Answers

Answer:

The person used 1/10 (one tenth) of the can to paint one chair.

Step-by-step explanation:

If she used 9/10 of the can to paint 9 chairs using same amount with each, then for each chair she used:

9/10 divided by 9 = 9/10 * 1/9 = 1/10 of the can.

Which of these sequences are arithmetic? Check all that apply.

–5, –3, 3, 13, 27, .

0, 1/4, 1/2, 3/4, 1, . . .

7, 14, 28, 56, 112, . . .

27, 40, 53, 66, 79, . . .

1, 2, 4, 8, . . .

Answers

I know that the second one the fourth one and the fifth one are arithmetic but I’m not sure about the others I think there are only three but don’t count me on it

The area of a rectangle is 1260 square inches. Its length is 36 inches.
Find the width

Answers

The width is 35 inches because A=l•w and 1260=36•35

Here is a list of numbers
13 14 18 23
18 23 30 36
From the numbers in the list, write down

the multiple of 4 and
the factor of 28​

Answers

Answer:

multiple of4is 36 and factor of 28 is 14

hope it helps you

Answer:

The multiple of 4 is 36 and the factor of 28 is 14

Step-by-step explanation:

The multiples of 4 : 4,8,12,16,20,24,28, 32, 36, 40, 44, 48,.....

The factors of 28 : 1,2,4,7,14 and 28

I hope it helps

A helicopter descended 145 m to observe the density of the population during the Centennial celebration

at the Luneta. It leveled off 230 m. what is the original altitude?

Answers

Answer:

Original altitude = 375 m

Step-by-step explanation:

Given:

Current height of helicopter = 145 m

New leveled off = 230 m

Find:

Original altitude

Computation:

Original altitude = Current height of helicopter + New leveled off

Original altitude = 145 m + 230 m

Original altitude = 375 m

A path 5m wide is to be built along the border and inside a square garden of side 90m. Find the cost of cementing the path at the rate of Rs.10 per meter square.​

Answers

Answer:

Total cost of cementing the path = Rs. 17,000.

Step-by-step explanation:

Let the square garden be ABCD

Let the region inside the garden (ABCD) be WXYZ.

Given the following data;

Length of sides of ABCD = 90m

Width of path = 5m

Cost = Rs. 10 per m²

Area of ABCD = 90 * 90

Area of ABCD = 8100m²

To find the area of WXYZ;

WX = WZ = 90 - (5 + 5)

WX = WZ = 90 - 10

WX = WZ = 80m

Area of WXYZ = WX * WZ

Substituting into the equation, we have;

Area of WXYZ = 80 * 80

Area of WXYZ = 6400 m²

Area of path = Area of ABCD - Area of WXYZ

Area of path = 8100 - 6400

Area of path = 1700 m²

Total cost of cementing the path = Area of path * cost

Total cost of cementing the path = 1700 * 10

Total cost of cementing the path = Rs. 17,000

Find the volume of the Triangular Prism
Volume

Answers

Answer:

Volume = 144 m³

Step-by-step explanation:

Volume of triangular prism = ½*b*h*l

Where,

Base of triangular base (b) = 4 m

Height of triangular base (h) = 12 m

Length of prism (l) = 6 m

Volume = ½*4*12*6

Volume = 2*12*6 = 144 m³

Answer:

144cm3 is the right answer

Step-by-step explanation:

Oooooooooooooooooofffffffffffffffffffff

Suppose a - b = 0Which one of these expressions equals ab?
A. 2a
B. 0
C. b^2
D. 2b
E. a/b

Answers

If a-b=0, a=b, so ab=bb=b^2

Answer:

b^2

Step-by-step explanation:

a - b = 0

Add b to each side

a-b+b = 0+b

a=b

We want to find ab

Replace a with b

b*b

b^2

PLS HELP I WILL BRAINLIEST 15 PTS

An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. At the end of the night, the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the data from the 2nd hour to the 6th hour? Be sure to include the correct units of measurement.

a scatter plot with x axis labeled Hour and y axis labeled Money Earned in Dollars per Hour with points at 1 comma 54 and 2 comma 58 and 3 comma 64 and 4 comma 78 and 5 comma 96 and 6 comma 126 and 7 comma 99 and 8 comma 75

17 hours
68 dollars
17 dollars per hour per hour
68 dollars per hour per hour

Answers

Answer:

17

Step-by-step explanation:

A slope is also known as the gradient of a line. The correct option is C, 17 dollars per hour.

What is Slope?

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

The average rate of change for the data from the 2nd hour to the 6th hour is,

Average rate = ($126 - $58)/(6 hour - 2 hour)

                      = 68/4 dollar per hour

                      = 17 dollars per hour

Hence, The average rate of change for the data from the 2nd hour to the 6th hour is 17 dollars per hour.

Learn more about Slope of Line:

https://brainly.com/question/14511992

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You are purchasing Cotton swabs that come in 2 different sized containers. One box contains 300 swabs for 2.99 and the other box is specially marked at 30% more swabs for the same price. How much will you save per sawn by buying the larger box?

Answers

Answer:

Buying the larger box, I will be saving 23% compared to the original price.

Step-by-step explanation:

Given that a box contains 300 swabs for 2.99 and the other box is specially marked at 30% more swabs for the same price, to determine how much will I save per swab by buying the larger box the following calculation must be performed:

2.99 / 300 = X

0.0099 = X

2.99 / (300 x 1.3) = X

2.99 / 390 = X

0.0076 = X

0.0099 = 100

0.0076 = X

(0.0076 x 100) / 0.0099 = X

77 = X

100 - 77 = 23

Therefore, buying the larger box I will be saving 23% compared to the original price.

Halla el MCM de 3 y 5 enumerando múltiplos.
A. 15
B. 35
C. 53
D. 8
E. Ninguno de los anteriores

Answers

Answer:

A. 15

Step-by-step explanation:

Mínimo Común Múltiplo (MCM)

El MCM entre dos o más enteros es el menor múltiplo común a todos ellos. Por ejemplo, el MCM de 20 y 30 es 60 porque es el menor múltiplo común a ambos números.

El MCM entre 3 y 5 se puede determinar listando los múltiplos de cada uno:

Múltiplos de 3:   3, 6, 9,12, 15, 18, 21, 24

Múltiplos de 5:   5, 10, 15, 20, 25, 30

Se puede observar que el primer múltiplo que aparece en ambas listas en 15, luego la respuesta es:

A. 15

You select 6 cards randomly from a deck of 52 cards. What is the probability that all of the cards selected are face cards

Answers

Answer:

Step-by-step explanation:

There are two different techniques that I can think of for arriving at the answer. The first method utilizes combination, sometimes referred to as the “choose” operator. First, we need to know how many 6 cards hands are possible, which can be calculated using 52 choose 6, which in notation looks like  (526)   =20,358,520 . This is our denominator.

Now that we know how many total 6 cards hands there are in a normal deck, we need to find the numerator, which is how many 6-card hands can be made up of all hearts. Since there are 13 hearts in the deck, we can find that number with  (136)   =1,716 .

Completely written out in mathematical notation, the probability of drawing 6 cards that are all hearts, appears as follows:

(136)(526)=171620358520≈0.0000843≈0.00843%  

__________________________________________________

The second method that results in the same value can be found by multiplying together the chances of drawing the individual cards at each step, for example, there is a  1352  chance of the first card drawn being a heart,  1251  for the second, and so on.

This second method looks like:

1352×1251×1150×1049×948×847≈0.0000843≈0.00843  

Incidentally,  13!46!7!52!  is another way to notate this second method.

Personally, I find the first method to be cleaner and easier to work with, but some may find the second more intuitive.

Answer: 11/51

Step-by-step explanation: After you've picked the first card, if it's a face card then there are only 11 faces cards left, out of a total of 51. So the probability of the next card also being a face card is 11/51.

How much simple interest would $1,000 earn in 275 days at an Interest rate of 4.21%

Answers

It would earn $31.72 simple interest for 275 days.

Emily made 20 basketball free throws and made 13 of them. What is the experimental probability of Emily making a basket?



What is the probability that Emily doesn’t make a basket?




Answers

number made / number attempted = 13/20

number missed / number attempted = (20-13)/20 = 7/20

Find 47.5% of 690 (remember this is a non calculator question)

Answers

Answer:

327.75

Step-by-step explanation:

What is the solution to
Multiply (Y-1)(y+8)

Answers

whats is y? I can't solve the problem without it

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.7 years, and standard deviation of 1 years.

The 7% of items with the shortest lifespan will last less than how many years?

Answers

Answer:

Bobies

Step-by-step explanation:

Answer:

Step-by-step explanation:

a truck just left the weigh station on interstate 40. it weighted 6 tons 500 pounds and had a load of 1,200 pounds. How much would the transfer truck alone weigh?

Answers

Answer:

The weight limit on the bridge is75,500 pounds. ... In pounds, how much cargo can the truck carry and still be ... Helllppp pleaseeee A rancher has a three sided plot of ..

What method can you use to find the area of the
composite figure? Check all that apply.
decompose the figure into one rectangle and one
triangle, and add the areas
decompose the figure into two trapezoids, and add
the areas
find the area of the larger rectangle, then subtract
the area of the square
find the area of the larger rectangle, then subtract
the area of the two small triangles
O find the area of the larger rectangle

Answers

To find the area of the composite figure:-

We can use following methods-

1. Decompose the figure into one rectangle and one triangle and add the area.

2. Decompose the figure into two trapezoids and add the area.

3. Find the area of the larger rectangle, then subtract the area of the two small triangle

What is composite figure?

"It is shape that is made up of two or more geometric shapes"

What is area of triangle?

A = 1/2 × b × h

where b is the base of the triangle and 'h' is the height of the triangle

What is the area of rectangle?

A = l × w

where l = length of the rectangle

w = width of the rectangle

For given example,

We need to find the area of the composite figure.

To find the area of the composite figure:-

We can follow-

1. Decompose the figure into one rectangle and one triangle and add the area.

2. Decompose the figure into two trapezoids and add the area.

3. Find the area of the larger rectangle, then subtract the area of the two small triangle

Learn more about the area of composite figure here:

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Answer: A, B, and D

Step-by-step explanation:

An iPhone costs £799 in London, €850 in Paris and $970 in New York.
Using £1 = €1.17 and £1 = $1.42, state the lowest price of the iPhone in £.
Give your answer to 2 dp.
please answer for heart, comment, 5 star rating, and brainliest

Answers

Answer:

£683.10 in New York.

Step-by-step explanation:

Given the following data;

iPhone costs in London = £799

iPhone costs in Paris = €850

iPhone costs in New York = $970

£1 = €1.17 and £1 = $1.42

First of all, to find the cheapest (lowest) price for the three phones we would have to convert the prices to Pounds (£).

a. iPhone costs in London = £799

b. iPhone costs in Paris = €850

To find the price in Pounds (£);

£1 = €1.17

iPhone costs in Paris = €850/€1.17

iPhone costs in Paris = £726.50

c. iPhone costs in New York = $970

To find the price in Pounds (£);

£1 = $1.42

iPhone costs in New York = $970/$1.42

iPhone costs in New York = £683.10

Therefore, the lowest price for the iPhone is £683.10

Solve for X in 4^x + 6^x = 9^x​

Answers

Answer:

4^x + 6^x = 9^x

9^x=9^x

x=x

What is the area of this figure?
2 yd
3 yd
4 yd
7 yd
4 yd
6 yd
square yards
Please helpp

Answers

Answer:

4032 square yards

Step-by-step explanation:

Area is multiplying the numbers together. Like if you were to find the area of a rectangle, you would need to multiply the length and width together. Don't forget to add a label at the end for more credit, such as square yards.

Find the slope of the line that contains (4, 8) and (3, 1).

Answers

Answer

Step-by-step explanation:

 yl grafica

Answer:

The slope would be -7

Step-by-step explanation:

To find the slope, you find two points on a line and find the difference between x-values and y-values. Then divide the difference of y-values by the difference of x-values to acquire the slope. [tex]\frac{8-1}{-4+3}[/tex] = [tex]\frac{7}{-1}[/tex] or -7, so that would be the slope.

Please help with my question

Answers

Answer:

Your answer is "C"

Step-by-step explanation:

Dont ask me how I know, I just know

No clue why but brainly said I had inappropriate words in my answer so here's a picture

g(m) = m3 - 10m² + 25m + 2 at m = 6.

Answers

Answer:

G(6) = -190

Step-by-step explanation:

G(6) = (6 *3) - [10*(6)^2] + 25(6) + 2

G(6) = 18 -360 + 150 + 2

G(6) = -190

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