nene164 nene164

10-04-2018
Mathematics

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the record height of a man to date is 8 feet 11 inches (107 inches). if all men had identical body types, their weights would vary directly as the cube of their heights. Assume that all men do have identical body types. If a man who is 5 feet 10 inches tall (70 inches) weighs 175 pounds, approximately how much a man with a height of 9 feet 1 inch (109 inches) weigh?

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sqdancefan sqdancefan

24-01-2019

Answer:

661 pounds

Step-by-step explanation:

The ratio of heights of your hypothetical man and the average man is ...

109/70

Since you say the ratio of weights is the cube of this number, the weight of your hypothetical man would be ...

w/175 = (109/70)³

w = 175×(109/70)³ ≈ 660.73 ≈ 661 . . . pounds

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