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S_A_V [24]
3 years ago
8

The diagram below represents the shape of the floor of a hotel lobby. The hotel plans on replacing the carpet in the lobby.

Mathematics
1 answer:
zzz [600]3 years ago
8 0

Answer:

Step-by-step explanation:

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If r = 3.2, what is the area of the shaded region? Round your answer to the nearest hundredth. Use your calculator's value of π.
MrRa [10]

Answer: The shaded area is 99.55 units squared.

Step-by-step explanation:

r = 3.2

Now, we can see that the sides of the square are equal to two times the diameter of the circles (or four times the radius of the circles), so the length of the sides of the square is:

L = 2*(2*3.2) = 12.8

The area of the square is A1 = L^2 = 12.8*12.8 = 163.84 units squared.

the shaded semicircle has a diameter of 4 times r (so the radius is 2 times r), and the area is equal to half the area of a circle:

A2 = (1/2)*pi*(2r)^2 = (1/2)*3.14*(6.4)^2 = 64.31 units squared.

And now we must subtract the area of the four smaller circles inside the square, the area of each one is:

A3 = pi*r^2 = 3.14*(3.2)^2 = 32.15 units squared.

Then the shaded area is:

A = A1 + A2 - 4*A3 = 163.84 + 64.31 - 4* 32.15 = 99.55 units squared.

8 0
4 years ago
Find the slope of the line that passes through the points
lesantik [10]

Answer: 1/8

Step-by-step explanation:

1 - 0 = 1

0 - 8 = 8

m = 1/8

3 0
3 years ago
What is the angle of B. Round your answer to the nearest hundredth​
Mila [183]

Answer:

B = 53.13

Step-by-step explanation:

Since this is a right triangle, we can use the tan function

tan B = opposite side/ adjacent side

tan B = 4/3

Take the inverse tan of each side

tan ^-1 (tan B) = tan^-1 (4/3)

B = 53.13010235

To the nearest hundredth

B = 53.13

3 0
3 years ago
A bag has 5 yellow marbles, 3 red marbles and 2 blue marbles Quinn randomly picks a marble from the bag and returns it before an
Lelu [443]

Answer:

80 times

Step-by-step explanation:

7 0
3 years ago
The circumference of a circle is 8π cm. What is the RADIUS of the circle?
Irina18 [472]

The formula for radius is R=\frac{C}{2\pi }.

First we need to see what 8*π is, put it in your calculator and you will get . So now we know the exact circumference, so now put that into the equation to find the radius.

R=\frac{25.1327412287}{2\pi } =4

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY!

- Cutiepatutie ☺❀❤

8 0
3 years ago
Read 2 more answers
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