Answer:
17662.5 sq. feet
Step-by-step explanation:
We know that the formula for Area of a Circle is 
.
r = radius; d = diameter, which is r*2
And so, in the question, it gives you that the diameter is 150, first we divide it by 2 to get the radius.
150/2 = 75
The question said to keep 
=3.14, so then we plug in the equation-
Then we use PEMDAS [Parenthesis; Exponents; Multiply & Divide; Add & Subtract] which would get us-
(first doing the Exponent)
And we continue-
(then multiple)
So our answer is-
17662.5 sq. feet
I hope this helps!
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4.00 ÷ 0.25 = 16
.70 ÷ 0.05 = 14
16 quarters + 14 nickels = 30 coins
Answer:
Option (B).
Step-by-step explanation:
Percentage change between two numbers a and b can be calculated by the formula,
% change = 
Where, (b - a) = Change in values
a = Initial value
If a = 16 and b = 20
Percentage change between 16 and 20 will be,
= 
= 
= 25%
If a = 20 and b = 16,
Percentage change = 
= 20%
Therefore, %change between 16 and 24 may be 16% or 20%.
Option (A),
= 25%
Option (B),
= 1.25 - 1 × 100
= 1.25 - 100
= -98.75%
Option (C),
= 25%
Option (D),
= 20%
Therefore, we can not use the calculation used in Option (B).
Since they want only the coordinates of the vertices. You only care about where the lines intersect, the greater than, less than signs are irrelevant.
Get each equation in 'y=mx+b' form
1) y = -x + 9
2) y = 2x-21
3) y = -4x +15
Now you can set any 2 equations equal to each other and solve for 'x'.
This will be the 'x' coordinate of the point where the 2 lines intersect.
You need 3 points, so you will need 3 different sets of 2 equations:
1) = 2)
2x -21 = -x+9
3x = 30
x = 10 -----> y = -(10)+9 = -1
1) = 3)
-x+9 = -4x+15
3x = 6
x = 2 -------> y = -(2) + 9 = 7
2) = 3)
2x - 21 = -4x+15
6x = 36
x = 6 ---------> y = 2(6) -21 = -9
Therefore the 3 intersecting points are:
(10,-1)
(2, 7)
(6, -9)
