SOLUTION: re-post I made an ERROR 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 p

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: re-post I made an ERROR 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 p      Log On


   



Question 675620: re-post I made an ERROR
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 is determined by the function.
The given formula A=16Ad^-2/3
a. Find S to the nearest tenth for the Tartan 4100, which has a sail area of 810 square feet and a displacement of 23,245 pounds.
b. Write d in terms of A and S

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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 is determined by the function.
The given formula S=16Ad^-2/3, (think it should be S=)
:
a. Find S to the nearest tenth for the Tartan 4100, which has a sail area of 810 square feet and a displacement of 23,245 pounds.
S = 16*810*23245^(-2/3)
Using a calc
S = 12960*.0012277604
S = 15.9 knots
:
b. Write d in terms of A and S
16*A*d^(-2/3) = S
d^(-2/3) = S%2F%2816A%29
Raise both sides to (-3/2) to give d an exponent of 1
d = %28s%2F%2816A%29%29%5E%28-3%2F2%29