Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of pi (no approximations).

Answer:

[tex]\huge\boxed{B.\ \dfrac{12}{35}}[/tex]

Step-by-step explanation:

Look at the picture.

We know:

[tex]\sin\theta=\dfrac{a}{c}\\\\\tan\theta=\dfrac{a}{b}[/tex]

We have

[tex]\sin\theta=\dfrac{12}{37}\Rightarrow a=12,\ c=37[/tex]

Use the Pythagorean theorem.

[tex]a^2+b^2=c^2\\\\12^2+b^2=37^2\\\\144+b^2=1369\qquad|\text{subtract 144 from both sides}\\\\b^2=1225\to b=\sqrt{1225}\\\\b=35[/tex]

Calculate tangent:

[tex]\tan\theta=\dfrac{12}{35}[/tex]

Answer:

0.01

Step-by-step explanation:

cause 47 x 0.01 + 0.047

The power of 10 that you would dived it by would be 1,000.

Because here we have 3 option 10, 100, and 1,000. So what we would do is divide each one to that main number "47"

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Answer:

The answer is 32 degrees

Step-by-step explanation:

45 minus 13 equals 32

Answer:

B

Step-by-step explanation:

Answer:

B. relative minimum

Step-by-step explanation:

This is because a relative minimum is a point where decreasing turns to increasing, but an ABSOLUTE minimum is a point where the line cannot go any lower, whatsoever.

Answer:

A

Step-by-step explanation:

Answer:

about 14 chairs

Step-by-step explanation:

All you do is do 95 divided by 7, which is 13.57142857142857.... If your teacher would want you to round, then answer with 14, but if they wouldn't, I would just do 14

Answer:

y = 148°

Step-by-step explanation:

4x - 18 = 2x + 12 (alternate exterior angles are congruent)

Collect like terms

4x - 18 = 2x + 12

4x - 2x = 18 + 12

2x = 20

Divide both sides by 2

x = 10

y = 180 - (2x + 12) (linear pair theorem)

Plug in the value of x

y = 180 - (2(10) + 12)

y = 180 - (20 + 12)

y = 148°

Answer:

C

Step-by-step explanation:

Divide the household with pet rabbits by the total number of household in the U.S. to get the proportion of U.S. households with pet rabbits. Then, convert the proportion to a percentage.

6,678,000/126,200,000 ≈ 0.05 = 5%

Answer:

C

Step-by-step explanation:

you have to divde the household pets

Answer:

60 minutes or 1 hour

Step-by-step explanation:

10,000 - 4,000 = 6,000 more steps to add

6,000 steps / 100 per minute = 60 minutes more, 1 hour more

Hope this helps! :)

Answer: the answer is no :)

Answer:

4,589,200

Step-by-step explanation:

Answer:

4589200

Step-by-step explanation:

hope this helps!! :D

Answer:

411/3 + 388 = 525 -79=446

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

i think the 4th is the answer

Step-by-step explanation:

5500×35=192500

/100=1925 $

Answer:

61

Step-by-step explanation:

   3x + 28

   5x + 52

+   2x - 10    

  10x + 70 = 180º

      x = 11

3(11) + 28 = 61º

Answer:

60 minutes is 20% of 300%

Step-by-step explanation:

Answer:2 miles per hour

Step-by-step explanation:

1/3 times 6

To determine how fast is Richard walking, the concept of average speed comes into picture. The average speed of Richard is 2 miles per hour. Therefore the correct option is option B

Average speed can be calculated by dividing total distance traveled by a body to the total time taken for the body to reach its destination.

Now determine how fast is Richard walking, in miles per hour

We have to calculate the average speed which is the ratio of the total distance traveled by a body to the total time

Total distance traveled by Richard = 1/3 mile

Total time taken = 1/6 hour

Average speed =  total distance /  total time

Average speed = (1/3) / (1/6)

Reciprocal the denominator term, and we get

Average speed = (1/3) × 6

Average speed = 2 miles per hour

Therefore, Richard is at an average speed of 2 miles per hour

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Answer:

4

Step-by-step explanation:

2/3 x6/1

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{6}{1}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{1}{6}[/tex]

To change the ÷ sign to a × sign, swap the denominators and numerators of the second fraction.

[tex]\frac{2}{3}[/tex] × [tex]\frac{1}{6}[/tex] = [tex]\frac{2}{18}[/tex]

Directly multiply. Numerators with numerators and denominators with denominators.

[tex]\frac{2}{18}[/tex] = [tex]\frac{1}{9}[/tex]

Divide the fraction by 2 to simplify it.

Answer:

12,16,20

Step-by-step explanation:

First list the multiples of 4

4,8,12,16,20,24,28

We want the ones that are greater than 10

12,16,20

Answer:              3 (x-1)

                           ______

                                x

Step-by-step explanation:

so thats 3(x-1) over x

have a good day! :)

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Answer:

3

Step-by-step explanation:

F(x)=-3(x-1) find f(0)

F(0) = -3(0-1)

F(0) = -3(-1)

F(0)= 3

Answer:

4

Step-by-step explanation:

Answer:Option (a) is correct.

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.

This is angle side angle  ASA

If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.

This is  hypotenuse leg  HL

If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.

This is side side side  SSS

If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.

This is leg angle LA

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

This is side angle side SAS

Answer:

-3326

Step-by-step explanation:

replaces the x's with -3

so (5(-3))^3 + (2(-3))^2 -4(-3)+1 = -3326

Answer:

It is a function

Step-by-step explanation:

A function states that you must have one output every one input and this is done but with the same output.

Answer:

x = -9,

y = -6

Step-by-step explanation:

2x - 6y =18

-2x + 4y = -6

you can add the equations together as is and eliminate x

-2y = 12

y = -6

then plug back in,

2x - 6(-6) = 18

2x + 36 = 18

2x = -18

x= -9

Answer:

Step-by-step explanation:

Answer:

The value of k is 7

Step-by-step explanation:

The image shows the graph of g(x) and f(x). g(x) is shifted up f(x) by a number k such that:

g(x) = f(x) +k

To know the value of k, we select a value for x and calculate the value of k.

For example, for x=0, f(0)=-6, g(0)=1, and:

g(0) = f(0) +k

1 = -6 +k

k = 7

We can select any other value for x which g and f values can be clearly seen. For example, for x=-5, f(-5)=0, g(-5)=7, thus:

g(-5) = f(-5) +k

7 = 0 +k

k = 7

The value of k is 7

the answer above is correct

Answer:

7920

Step-by-step explanation:

all you have to do is just multiply the the feet in a mile by how any miles there are so basically

=> 1.5 * 5280 = 7920

Answer:

7,920 ft

Step-by-step explanation:

1.5 miles

1 mile = 5,280 feet

1.5 × 5,280 = 7,920 ft

or

5,280 ÷ 2 = 2,640

2,640 + 5,280 = 7,920 ft

Answer:

GCF

Step-by-step explanation:

Answer: The largest number of snack bags she could make is 5

Step-by-step explanation:

20/5=4 apples

35/5=7 crackers

In each bag she will place 4 apples and 7 crackers