9514 1404 393
Answer:
23.4 ft³
Step-by-step explanation:
In terms of the perimeter of the square base, the volume of a pyramid can be found using the formula ...
V = (1/48)P²h . . . . . where P is the base perimeter and h is the height
V = (1/48)(10.7 ft)²(9.8 ft) ≈ 23.4 ft³
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<em>Additional comment</em>
The relevant formulas usually used are ...
P = 4s . . . . perimeter of a square with side length s
A = s² . . . . area of a square with side length s
V = (1/3)Bh . . . . . volume of a pyramid with base area B and height h
Solving the perimeter equation for s, and using that result in the other formulas, we get ...
s = P/4
B = (P/4)² = P²/16
V = 1/3(P²/16)h = (1/48)P²h . . . . the formula used above
Using this result saves the effort of computing the intermediate values of side length and base area.
Car b does because it covers more distance than car a
Answer:
The revenue function is given as
R(x) = 500x - 0.8x²
Step-by-step explanation:
Given the Price equation
P = 500 - 0.8x
and the Cost equation
C(x) = 4x + 6000
The revenue function is given as
R(x) = xP
But P = 500 - 0.8x
So
R(x) = x(500 - 0.8x)
= 500×x - 0.8x×x
= 500x - 0.8x²
R(x) = 500x - 0.8x²
Exact Form:
4/9
Decimal Form:
0.4
