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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Hard
The formula above can be used to approximate the dew point D, in degrees Fahrenheit, given the temperature T, in degrees Fahrenheit, and the relative humidity of H percent, where . Which of the following expresses the relative humidity in terms of the temperature and the dew point?
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Explanation
Choice A is correct. Itβs given that . Solving this formula for H expresses the relative humidity in terms of the temperature and the dew point. Subtracting T from both sides of this equation yields
. Multiplying both sides by
yields
. Subtracting 100 from both sides yields
. Multiplying both sides by
results in the formula
.
Choices B, C, and D are incorrect and may result from errors made when rewriting the given formula.