Answer:
34.16 cm
Step-by-step explanation:
side of square base = x
height = h
area, A = 3500 cm^2
Area = x² + 4xh = 3500
4 xh = 3500 - x²
h = (3500 - x²)/4x
Volume = Area of base x height
V = x² h
V = x² (3500 - x²)/4x
V = (3500 x - x³) / 4
Differentiate volume with respect to x
dV/dx = (3500 - 3x²) / 4
It is equal to zero for maxima and minima
3500 - 3x² = 0
x = 34.16 cm
Now differentiate again
d²V/dx² = 6x / 4
It is negative so the volume is maximum.
Thus, for x = 34.16 cm, the volume is maximum.
Answer:
Step-by-step explanation:
The scientist can use only the angle x and the distance y to calculate the distance between the Earth and the Sun using the cosine function.The cosine of an angle is equal to the ratio of the length of the adjacent side and the length of the hypotenuse. In equation form:cos x = BC / ySolving for BCBC = y cos xBC is the distance between the Earth and the Sun
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Answer: C.
Step-by-step explanation: To find the volume of something, you multiply the length, width, and height together. Since they have already multiplied the length and width together to form the base, multiply 7 by 12 (base times height) to get 84 cubic inches.
Answer:
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Step-by-step explanation:
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