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Solving Equations with Radicals and Exponents

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Problem #1

Surface area of a cube. The formula A=6V^2/3 gives the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet?

Problem #2

Sailboat Speed. The sail area-displacement ratio S provides a measure of the sail power available to drive a boat. For a boat with a displacement of d pounds and a sail area of A square feet:

S=216Ad^-2/3

a) Find S to the nearest tenth for the Tarton4100, which has a sail area of 810 square feet and a displacement of 23,254 pounds.
b) Solve the formula for d

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Solution Summary

In this solution we show how to solve the given equations using radicals and exponents. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

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Problem #1
If the surface area is A=12 square feet, then according to the formula, we ...

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