SOLUTION: I don't understand. I have submitted 2 or 3 problems in the past 2 to 3 weeks and you have never answered me. Here is the problem that I'm having trouble with. I have to solve fo

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Question 789151: I don't understand. I have submitted 2 or 3 problems in the past 2 to 3 weeks and you have never answered me. Here is the problem that I'm having trouble with.
I have to solve for a,b & c. To be considered safe for ocean sailing, the capsize screening value C should be less than 2. For a boat with a beam (or width)b in feet and displacement d in pounds, C is determined by the function.
C=4d=^1/3b.
a) Find the capsize screening value for the Tartan 4100, which has a displacement of 23,245 pounds and a beam of 13.5 feet.
b) Solve this formula for d.
c) The accompanying graph shows C in terms of d for the Tartan 4100(b=13.5). For what displacement is the Tartan 4100 safe for ocean sailing?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve for a,b & c. To be considered safe for ocean sailing, the capsize screening value C should be less than 2.
For a boat with a beam (or width)b in feet and displacement d in pounds, C is determined by the function.
I think it should be: C=4d%5E%28-1%2F3%29b
a) Find the capsize screening value for the Tartan 4100, which has a displacement of 23,245 pounds and a beam of 13.5 feet.
Replace d and b in the above
C=4%2A23245%5E%28-1%2F3%29%2A13.5
Using a calc
C = 4 * .035 * 13.5
C = 1.89 is the screening value
:
b) Solve this formula for d.
4d%5E%28-1%2F3%29%2Ab = C
divide both sides by 4b
d%5E%28-1%2F3%29 = C%2F%284b%29
cube both sides, invert to get rid of the negative
d = %28%284b%29%2FC%29%5E3
:
c) The accompanying graph shows C in terms of d for the Tartan 4100(b=13.5). For what displacement is the Tartan 4100 safe for ocean sailing?
+graph%28+300%2C+200%2C+-10000%2C+30000%2C+-2%2C+4%2C+4%2Ax%5E%28-1%2F3%29%2A13.5%2C+2%29+
Hard to see in this graph, but using the formula in b we get
d = %28%284%2A13.5%29%2F2%29%5E3
d = 19683 pounds displacement for a value of C=2
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