c=3d4bThe formula gives the capsize screening value, c, for a sailboat with a beam b feet long and that displaces d pounds of water. Higher capsize screening values suggest that a sailboat is more stable. Which of the following equations correctly gives the displacement in terms of the capsize screening value and the beam length?Choose 1 answer:(A) d=c(4b)3(B) d=4bc3(C) d=(c4b)3(D) d=(4bc)3
Q. c=3d4bThe formula gives the capsize screening value, c, for a sailboat with a beam b feet long and that displaces d pounds of water. Higher capsize screening values suggest that a sailboat is more stable. Which of the following equations correctly gives the displacement in terms of the capsize screening value and the beam length?Choose 1 answer:(A) d=c(4b)3(B) d=4bc3(C) d=(c4b)3(D) d=(4bc)3
Given formula isolation: The original formula is given by c=3d4b. We want to solve for d in terms of c and b.
Multiplication and isolation: First, we isolate the term with d on one side by multiplying both sides of the equation by (3d). This gives us c⋅(3d)=4b.
Division by c: Next, we divide both sides of the equation by c to get 3d = c4b.
Eliminating cube root: To solve for d, we need to get rid of the cube root. We do this by raising both sides of the equation to the power of 3, which gives us d=(c4b)3.
Comparison with options: Now we compare the result with the given options. The correct equation that matches our result is (C) d=(c4b)3.
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