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2 years ago

5

The perimeter of the square is 64 inches. What is the perimeter of the shaded region?

1 answer:

ioda2 years ago

5 0

Answer:

54.94 inches

Step-by-step explanation:

First you need to find the radius of the semi-circles within the square.

You find this by dividing the perimeter by 8

64/8 = 8

now use the formula πr^2 to find the area of the semi circle

π8^2 = 201.06

Now find the total area of the square and subtract it from the area of the two semi circles to find the shaded region

16*16 = 256

256-201.06 = 54.94

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The area of the circle is 144π m2<br><br> What is the diameter of the circle?

Over [174]

Answer:

Step-by-step explanation:

Remember that

Area of Circle = $\pi r^2$

$\pi = pi \\r = radius$

They told us that for this circle, the area is $144\pi m^2$

If you put it back into the formula for area of a circle we get:

Area of Circle = $\pi r^2$

$144\pi = \pi r^2$

Divide both sides by $\pi$ .

144 = $r^2$

Now we want to solve for r (r = radius).

You need to square root each side

$\sqrt{144} = \sqrt{r^2}$

$12 = r$

So now we know the radius, $r = 12$ metres

Also remember that

Diameter = $2r$

So,

Diameter = 2 times 12 = 24 metres

5 0

3 years ago

If EFH = (5x + 1)°, HFG = 62°, and EFG = (18x + 11)°, find EFH

olga55 [171]

Given:

Consider the below figure attached with this question.

∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°

To find:

The measure of ∠EFH.

Solution:

From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,

$\angle EFG=\angle EFH+\angle HFG$

$18x+11=(5x+1)+(62)$

$18x+11=5x+63$

Isolate variable terms.

$18x-5x=63-11$

$13x=52$

Divide both sides by 13.

$x=\dfrac{52}{13}$

$x=4$

The value of x is 4.

$\angle EFH=(5x+1)^\circ$

$\angle EFH=(5(4)+1)^\circ$

$\angle EFH=(20+1)^\circ$

$\angle EFH=21^\circ$

Therefore, the measure of ∠EFH is 21°.

8 0

3 years ago

What number is 35% of 22

Ierofanga [76]

Go 0.35•22 and you get 7.7

8 0

3 years ago

Read 2 more answers

What is five x plus negative three equals fifteen

bearhunter [10]

You write the equation like this:
$5x + (-3) = 15$

But if you want to solve it then you do it like this:
$5x + (-3) = 15$
$5x - 3 = 15$
$5x = 18$
$x = 18/5$

7 0

3 years ago

Read 2 more answers

Will give brainly if correct<br> A) 15<br> B) 100<br> C) 120<br> D) 148

Anna [14]

Answer:

c

Step-by-step explanation:

4 times 5 is 20 and 20 times 6 is 120

7 0

2 years ago