Does anyone know the answer to this problem. If so please help.

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

masya89 [10]

Answer:

$40\pi \ m^{2}$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

In this problem we have

$r=10\ m$

Substitute and find the area

$A=\pi (10)^{2}=100 \pi\ m^{2}$

Remember that

$360\°$ subtends the area of complete circle

so

by proportion

Find the area of the shaded regions

The central angle of the shaded regions is equal to $2*72\°=144\°$

$\frac{100\pi }{360} \frac{m^{2}}{degrees} =\frac{x }{144} \frac{m^{2}}{degrees} \\ \\x=144*100\pi /360\\ \\ x=40\pi \ m^{2}$

6 0

3 years ago

Joelle is working on a school report in a word processor. She wants to place an oversized image which is 30.51 \text{ cm}30.51 c

ehidna [41]

Answer:

the horizontal position for the left edge of the image is -4.46 cm.

Step-by-step explanation:

The horizontal midpoint of the page is:

21.59 / 2 = 10.79 cm

The horizontal midpoint of the image is given as:

30.51 / 2 = 15.25 cm

These midpoints must be on the same point in the axis.

By taking the leftmost edge of the paper to be point zero on the axis, then, the distance accommodated by the paper is 10.795 cm.

The distance that goes beyond this leftmost edge is computed as;

This is on the negative side on the axis.

Thus the horizontal position for the left edge of the image is -4.46 cm.

3 0

3 years ago

An angle measures 73.6° less than the measure of its supplementary angle. What is the measure of each angle?

Vladimir79 [104]

Answer:

Smaller angle = 53.2

Larger angle = 126.8

Step-by-step explanation:

Lets say x is the measure of the supplement. Since we know they're supplementary, we know their angle measure sum will equal 180. We can set up our equation like this $x + (x-73.6) = 180$ . Note: (x - 73.6) is the measure of the smaller angle. By solving, we get 126.8 degrees for the measure of the supplement. If we plug in the value of x into (x-73.6), we get 53.2 degrees as the angle measure of the smaller angle.

6 0

3 years ago

Which of the following is the linear parent function?

Naddika [18.5K]

Answer:

b

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Suppose the population of IQ scores in the town or city where you live is bell-shaped, with a mean of 104 and a standard deviati

SVEN [57.7K]

Answer:

The mean of samples of 100 IQ scores taken out from this population will have a distribution with mean M=104 and standard deviation s=3.5.

Step-by-step explanation:

We know the population mean and standard deviation, that has a bell-shaped distribution:

$\mu=104\\\\\sigma=35$

The sampling distribution, the distribution of the mean of samples of size n out of this population, will have the same mean as the population mean.

$\mu_M=\mu=104$

The standard deviation will be related to the population standard deviation and the sample size as:

$\sigma_M=\frac{\sigma}{\sqrt{N}} =\frac{35}{\sqrt{100}}=3.5$

Then, the mean of samples of 100 IQ scores taken out from this population will have a distribution with mean M=104 and standard deviation s=3.5.

6 0

3 years ago