9 pounds 8 ounces
The surface areas of two similar solids are 1008 cm2 and 1372 cm2. The volume of the larger solid is 1801 cm3. Find the volume o
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9 pounds 8 ounces
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.
Topic:
Multiplying Polynomials
Answer:
Polynomial 1:
- Simplified Form: 6x^2 - x - 1
- Name by Number of Terms: trinomial
Polynomial 2:
- Name by Degree: linear
- Name by Number of Terms: binomial
Polynomial 3:
- Simplified Form: 2
- Name by Degree: constant
Step-by-step explanation:
Polynomial 1:
It has 3 terms, so it's a <u>trinomial</u>.
Polynomial 2:
There is one term with x and x is raised to the first degree, so it's <u>linear</u>.
There are 2 terms, so it's a <u>binomial</u>.
Polynomial 3:
Since there are no variables and the answer is just 2, it's a <u>constant</u>.
Note: I took a test on this and it seemed to be all correct