Answer:
26 ft square by 13 ft high
Step-by-step explanation:
The tank will have minimum surface area when opposite sides have the same total area as the square bottom. That is, their height is half their width. This makes the tank half a cube. Said cube would have a volume of ...
2·(8788 ft^3) = (26 ft)^3
The square bottom of the tank is 26 ft square, and its height is 13 ft.
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<em>Solution using derivatives</em>
If x is the side length of the square bottom, the height is 8788/x^2 and the area is ...
x^2 + 4x(8788/x^2) = x^2 +35152/x
The derivative of this is zero when area is minimized:
2x -35152/x^2 = 0
x^3 = 17576 = 26^3 . . . . . multiply by x^2/2, add 17576
x = 26
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As the attached graph shows, a graphing calculator can also provide the solution.
A)
A polygon is a closed shape so there must be at least three sides. Therefore, the least value that n can be would be three.
b)
n value
3 0
n(n-3)/2
3(3-3)/3
3(0)/3
0/3
0
4 2
n(n-3)/2
4(4-3)/2
4(1)/2
4/2
2
5 5
n(n-3)/2
5(5-3)/2
5(2)/2
10/2
5
Answer:
hope the above solution will help you
A variable with a fraction exponent can be rewritten using a radical.
The equations would be A. radical equation
Answer:
The terms in sequence 2 are half as large as the terms in sequence 1.