X + x + x + 20 + 10 = 180
(combine like terms)
3x + 30 = 180
3x=180-30
3x=150
x=150/3
x=50
The area of the roof is 1984 sq. ft. 1984 square feet of roofing is needed for the roof of a building that is 32 ft wide and 62 ft long.
Given, the length of the roof is 62 ft long and the width of the roof is 32 ft wide. Therefore, the area of the roof is length * width.
Area of the roof = length of the roof * width of the roof
Area = 62 ft * 32 ft
Area = 1984 sq. ft
Here, also given the slope of the roof is 1:2 which indicates the ratio of rise and run.
Slope of the roof = Rise / Run = 1 / 2
Then, the slope factor is 
= 
= 0.04167
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The right question is:
How many square feet of roofing is needed for the roof of a building that is 32 ft wide and 62 ft long?
Answer:
g(x) = (x - 4)^2 - 5, and the vertex is (4, -5)
Step-by-step explanation:
Please, use " ^ " to indicate exponentiation: g(x) = (x - 4)^2 – 5. Comparing this to y = a(x - h)^2 + k, we see that h must be 4 and k must be -5. Thus, the vertex is (4, -5).
Make a table showing several x-values and the corresponding y-values:
x g(x) = (x - 4)^2 - 5 (x, y)
0 (-4)^2 - 5 = 11 (0, 11)
4 (4 - 4)^2 - 5 = -5 (4, -5)
Answer:
Option (C)
Step-by-step explanation:
"If the two secants are drawn to a circle form an external points then the product of the measures of one secant segment (inside the circle) and its external segment will be equal to the product of measures of the other secant's segments."
By this property,
8(8 + x) = 9(9 + 7)
64 + 8x = 144
8x = 144 - 64
8x = 80
x = 10
Therefore, Option (C) will be the answer.
Answer:
3
Step-by-step explanation:2-5
