The volume of a prism is area of the base times height.
This is a triangular prism. The base is a triangle.
The volume is area of the base times height, and the base is a triangle.
Find the area of the triangle and multiply by the height of the prism.
V = volume of the prism
A = area of the base
H = height of the prism
h = height of the triangle
b = base of the triangle
V = AH
V = (1/2)bhH
V = (1/2) * 9 ft * 7 ft * 15 ft
V = 472.5 ft^3
Answer:
It is B. hyperbola, 45 degrees.
SteIt is p-by-step explanation:
If we rotate the standard form x^2 - y^2 = 1 through 45 degrees we get xy = 1/2.
xy = -2.5 comes from x^2 - y^2 = -5 being rotated 45 degrees.
The answer is in the image. We need 3.625 gallons to fill the tank.
CE = CD + DE = 2DE + DE = 3DE = 8.7
DE = 8.7/3 = 2.9
CD = 2DE = 5.8
For the inscribed circle, where center is point D. The radius is length DE.
This is because the circle will touch the 3 points where the bisectors intersect with sides of triangle.
radius = 2.9
For circumscribed circle, the center will also be point D. The radius is CD.
The circle will touch 3 points of triangle, A,B,C.
radius = 5.8