Answer:
C. 2,940 ft³
Step-by-step explanation:
The building is composed of a triangular prism and a rectangular prism
Therefore,
Volume of air in the building = volume of the triangular prism + volume of the rectangular prism
Volume of triangular prism = ½*bhl
b = 4 yards = 4*3 = 12 ft
h = 15 - 9½ = 5½ = 5.5 ft
l = 20 ft
Volume of triangular prism = ½*12*5.5*20 = 660 ft³
Volume of rectangular prism = W*H*L
W = 4 yds = 12 ft
H = 9½ = 9.5
L = 20 ft
Volume of rectangular prism = 12*9.5*20 = 2,280 ft³
✔️Volume of air in the building = 660 + 2,280 = 2,940 ft³
The slope of the following equation is -5, the y- intercept is (0,-2).
Try this suggested solution, note, 'D' means the region bounded by the triangle according to the condition. It consists of 6 steps.
Answers are underlined with red colour.
Note that the formula is: ax² + b(x) + c =0
You are trying to write it in the form: a(x - b)² = c
Note that:
a = 6
b = 12
c = 9
Plug into corresponding places: 6(x - 12)² = 9
Because you are just telling us to write it in the form a(x − b)² = c, 6(x - 12)² = 9
is your answer
hope this helps