SOLUTION: Assess the weights for which a diameter less than 1 is reasonable. A bridge is supported by 21 steel cables, each 9 inches in diameter. The amount of weight that a steel cable

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Question 1037217: Assess the weights for which a diameter less than 1 is
reasonable.
A bridge is supported by 21 steel cables, each 9 inches in diameter. The amount of weight that a steel cable can support is given by
+w+=+8d%5E2+ where d is the diameter of the cable in inches and w is the weight in tons.
If you need to know what diameter a steel cable should have to support a given weight, is is the equation: d = √w/8

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Correct. Apply algebra to your problem, as you did:
w = 8d^2 divide both sides by 8:
w/8 = d^2 take the square root, both sides:
√w/8 = d
or
d = √w/8