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muminat
3 years ago
7

the following 3 shapes are made up of square, circles, and semi circles. Find the Area and perimeter of the shaded area. Write y

our answer as a completely simplified exact value in terms of pi

Mathematics
1 answer:
koban [17]3 years ago
5 0

Answer:

Perimeter = 18 + 9pi

Area = 81 - 20.25*pi

Step-by-step explanation:

Perimeter = 9 + 9 + 2(2 pi r)/2     The twos cancel out.

Perimeter = 18 + 9*pi

Area of the square = 9 * 9 = 81 cm^2

Area of the 2 semicircles = 2 * pi * r^2/2

r = d/2

d = 9

r = 9/2 = 4.5

Area of the 2 semicircles = 2 (pi * 4.5^2)/2

Area of the 2 semicircles = 20.25 pi

Area of the blue figure = 81 - 20.25 pi

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Marysya12 [62]
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Then he earns $10.5x8x25 = $2100 per months.

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7 0
2 years ago
Find the volume of a pyramid with a square base, where the side length of the base is 6.6\text{ in}6.6 in and the height of the
Sergeu [11.5K]

Answer:

4.4 in^3

Step-by-step explanation:

7 0
3 years ago
Which ordered pair is a solution to this equation?
rodikova [14]
I would say ur answer is ,...

(0,2)

Good luck:)
6 0
3 years ago
Find two consecutive integers such that the sum of their squares is 145.
DiKsa [7]

Answer: 8 and 9 or -9 and -8

Step-by-step explanation:

Let x be the first of the two integers. Then, since the numbers are consecutive, x+1 is the other integer. We then know that the sum of the squares of x and x+1 is equal to 145. So, now we have the equation

x^2+(x+1)^2=145

which can be expanded and simplified to

2x^2+2x+1=145

which then gives us the quadratic equation

2x^2+2x-144=0

This can then be factored into

2(x^2+x-72)=0

Which can be simplified further into

2(x-8)(x+9)=0

So either x=8 or x=-9. This gives us two solutions: 8 and 9 or -9 and -8.

Hope this helps! CHEERS!

7 0
3 years ago
Value of x in the isosceles below
allochka39001 [22]

Being an isosceles, both sides would be equal.


5X - 32 = 2x +61

Add 32 to each side:

5X = 2X + 93

Subtract 2X from each side:

3X = 93

Divide both sides by 3:

X = 93/3

X = 31

3 0
2 years ago
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