SOLUTION: 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

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Question 197693: 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 formula
S = 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):
You can put this solution on YOUR website!
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 formula
S = 16Ad 2/3.
I think this formula is wrong, it should be
S = %2816A%29%2F%28d%5E%282%2F3%29%29
;
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 = %2816%2A810%29%2F%2823245%5E%282%2F3%29%29
S = 12960%2F814.5
S = 15.9
:
:
b) Write d in terms of A and S.
S = %2816A%29%2F%28d%5E%282%2F3%29%29
Cross multiply
S*d%5E%282%2F3%29 = 16A
d%5E%282%2F3%29 = %2816A%29%2FS
d = %28%2816A%29%2FS%29%5E%283%2F2%29