Answer:
88
Step-by-step explanation:
First find the area of the fountain using the area formula of a circle.
The formula for area is 
. Here the radius is 5 ft. So the area is 
.
We will subtract the area of 78.5 from the larger circle of the brick path and fountain to find only the area of the brick path.
The larger circle has an area of 
where the radius is 9ft.
Subtract to find the area of the path: 254.34 - 78.5 = 175.84. Divide this area by 2 to find the number of bricks needed since each brick is 2 square feet.
175.84/2 = 87.92 = 88 bricks
Answer:
Step-by-step explanation:
To solve this, we can use polynomial long division.
Seeing the picture, we first divide x (the variable to the largest degree in x+1) from 2x³. We divide from 2x³ because that is the variable with the largest degree in the polynomial. That is equal to 2x², so we put that on top and subtract (x+1) * (2x²) from the polynomial. Then, we repeat the process, but with x² instead of 2x³, and again with -6x as the variable with the largest degree.
Answer:
Step-by-step explanation:
From the given angles ∠ABC and ∠GHK,
m∠ABC = m∠GHK [Given]
m∠ABC = m∠GHL + m∠KHL [Since, ∠GHL + ∠KHL = ∠GHK]
(6x + 2)° = (5x - 27)° + (3x + 1)°
6x + 2 = 8x - 26
8x - 6x = 28
2x = 28
x = 14
m(BC) = m(HK) [Given]
3z + 6 = 8z - 9
8z - 3z = 6 + 9
5z = 15
z = 3
m(AB) = m(GH)
5y - 8 = 3y
2y = 8
y = 4
m∠ABC = mGHK = (6x + 2)
= 6(14) + 2
= 86°
m(AB) = m(GH) = 3y
= 3(4)
= 12 units
m(BC) = m(HK) = (3z + 6)
= 3(3) + 6
= 15 units
m(∠KHL) = (3x + 1)°
= 3(14) + 1
= 43°
The answer is .6 repeating.
