College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.4 - Rational Exponents and Radicals - P.4 Exercises - Page 31: 95

Answer

a yes b largest possible sail area is 3291 ft$^{2}$

Work Step by Step

a) substitute 60 for L , 3400 for A and 650 for L in the equation $0.3*L+.38\sqrt {A}-3\sqrt[3]{V}$ you get $0.3*60+.38*\sqrt {3400}-3\sqrt[3]{650}=14.17$ Since $14.17\leq16$ the boat qualify for the race b) when substitute the known value in the equation $0.3*L+.38\sqrt {A}-3\sqrt[3]{V}$ and we get $16=.3*65+.38*\sqrt A -3\sqrt[3]{600}$ We solve for a by subtract $.3*65-3\sqrt[3]{600}$ from both sides and get $16-( .3*65-3\sqrt[3]{600})=.38*\sqrt A$ we simplify the right side $21.8=.38*\sqrt A$ divide both sides by .38 $57.37=\sqrt A$ Square both sides 3291=A
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