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For certain species of tree, the height h, in meters, is approximated by the diameter d, in centimeters, using the formula (in the picture below). Which is closest to the diameter of a 45-meter tall tree of this species?

For certain species of tree the height h in meters is approximated by the diameter d in centimeters using the formula in the picture below Which is closest to t class=

Respuesta :

meerkat18
Let's rearrange the equation using algebra such that the variable d is isolated. The solution is as follows:

h = 1.75 ⁵√d⁴
h = 1.75[d^(4/5)]
d^(4/5) = h/1.75
d = ⁵√(h/1.75)⁴

When h = 45,
d =  ⁵√(45/1.75)⁴
d = 13.43 cm

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