document.write( "Question 197693: Sailboat speed. The sail area-displacement ratio S provides
\n" ); document.write( "a measure of the sail power available to drive a
\n" ); document.write( "boat. For a boat with a displacement of d pounds and a
\n" ); document.write( "sail area of A square feet S is determined by the formula
\n" ); document.write( "S = 16Ad 2/3.
\n" ); document.write( "a) Find S to the nearest tenth for the Tartan 4100, which
\n" ); document.write( "has a sail area of 810 square feet and a displacement of
\n" ); document.write( "23,245 pounds.
\n" ); document.write( "b) Write d in terms of A and S.
\n" ); document.write( "

Algebra.Com's Answer #148263 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Sailboat speed. The sail area-displacement ratio S provides
\n" ); document.write( "a measure of the sail power available to drive a
\n" ); document.write( "boat. For a boat with a displacement of d pounds and a
\n" ); document.write( "sail area of A square feet S is determined by the formula
\n" ); document.write( "S = 16Ad 2/3.
\n" ); document.write( "I think this formula is wrong, it should be
\n" ); document.write( "S = \"%2816A%29%2F%28d%5E%282%2F3%29%29\"
\n" ); document.write( ";
\n" ); document.write( "a) Find S to the nearest tenth for the Tartan 4100, which
\n" ); document.write( "has a sail area of 810 square feet and a displacement of
\n" ); document.write( "23,245 pounds.
\n" ); document.write( "S = \"%2816%2A810%29%2F%2823245%5E%282%2F3%29%29\"
\n" ); document.write( "S = \"12960%2F814.5\"
\n" ); document.write( "S = 15.9
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "b) Write d in terms of A and S.
\n" ); document.write( "S = \"%2816A%29%2F%28d%5E%282%2F3%29%29\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "S*\"d%5E%282%2F3%29\" = 16A
\n" ); document.write( "\"d%5E%282%2F3%29\" = \"%2816A%29%2FS\"
\n" ); document.write( "d = \"%28%2816A%29%2FS%29%5E%283%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );