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Anna007 [38]
4 years ago
9

A. What is the approximate perimeter of the concrete region?

Mathematics
1 answer:
Nastasia [14]4 years ago
7 0
You have a square with half circles along the sides.
The length of each side is 4ft, so the radius of the circles is 2ft

to calculate the perimeter you can calculate the circumference of 4 half circles = 2 complete circles
c=2r*\pi=
2*2\pi=12.56
perimeter=2c=25.12=8\pi

the area is the area of 2 circles+the area of the square
circle area= r^2*\pi=2*2\pi=4\pi
concrete area=circle area*2+square area
=4\pi *2+(4*4)
=8\pi+(4*4)
=8\pi+16ft
=41.12 ft^2
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Answer:

Option 3: 12 is the correct answer.

Step-by-step explanation:

Given functions are:

f(x) = 16x-30\\g(x) = 14x-6

In order to find the value of x on which (f-g)(x) will be zero, first of all we have to find (f-g)(x) and then equate it equal to zero to find the value of  that will make (f-g)(x)

So,

(f-g)(x) = f(x) - g(x)\\= (16x-30)-(14x-6)\\=16x-30-14x+6\\= 2x-24

Now to find the value of x on which (f-g)(x) will be zero, putting (f-g)(x) = 0

(f-g)(x) = 0\\2x-24 = 0

Adding 24 on both sides

2x-24+24 = 0+24\\2x = 24

Dividing both sides by 2

\frac{2x}{2} = \frac{24}{2}\\x = 12

For x=12, (f-g)(x) will be zero.

Hence,

Option 3: 12 is the correct answer.

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