SOLUTION: America’s Cup. Since 1988 basic yacht dimensions for the
America’s Cup competition have satisfied the inequality
L 1.25+ radical symbol over S- 9.8 radical symbol with 3on the si
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Question 199141This question is from textbook
: America’s Cup. Since 1988 basic yacht dimensions for the
America’s Cup competition have satisfied the inequality
L 1.25+ radical symbol over S- 9.8 radical symbol with 3on the side and D under the sign this < underline, and 16.296 after underline< sign
where L is the boat’s length in meters (m), S is the sail area
in square meters, and D is the displacement in cubic meters
(www.sailing.com).Ateam of naval architects is planning to
build a boat with a displacement of 21.44 cubic meters (m3),
a sail area of 320.13 square meters (m2), and a length of
21.22 m. Does this boat satisfy the inequality? If the length
and displacement of this boat cannot be changed, then how
many square meters of sail area must be removed so that the
boat satisfies the inequality?
This question is from textbook
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
L 1.25+ radical symbol over S- 9.8 radical symbol with 3on the side
and D under the sign this < underline, and 16.296 after underline < sign
where L is the boat’s length in meters (m), S is the sail area
in square meters, and D is the displacement in cubic meters
(www.sailing.com).Ateam of naval architects is planning to
build a boat with a displacement of 21.44 cubic meters (m3),
a sail area of 320.13 square meters (m2), and a length of
21.22 m. Does this boat satisfy the inequality? If the length
and displacement of this boat cannot be changed, then how
many square meters of sail area must be removed so that the
boat satisfies the inequality?
:
I think the formula should be
Substituting for L, S, D
=
21.22 + 1.25(17.892) - 9.8(2.778) =
:
21.22 + 22.365 - 27.225 = 16.36, slightly above 16.296
:
:
If the length and displacement of this boat cannot be changed,
then how many square meters of sail area must be removed so that the
boat satisfies the inequality?
16.36 - 16.296 = .064; the amt that it is over specs
:
Find the reduced sail area:
= 316.3 sq/ft to meet the rule formula
That's a removal of 3.83 sq/ft
:
:
Check using this sail area
=
21.22 + 1.25(17.785) - 9.8(2.778) =
:
21.22 + 22.231 - 27.225 = 16.226, which is less than 16.296
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