Question

real numbers
converting between temperatures in fahrenheit and celsius
convert 42°c to degrees fahrenheit.
if necessary, round your answer to the nearest tenth of a degree.
here are the formulas.
c = \frac{5}{9}(f - 32)
f = \frac{9}{5}c + 32
42 °c = \square °f

Explanation:

Step1: Identify the formula

We use the formula for converting Celsius to Fahrenheit: \( F=\frac{9}{5}C + 32 \). Here, \( C = 42 \).

Step2: Substitute \( C = 42 \) into the formula

Substitute \( C = 42 \) into \( F=\frac{9}{5}C+32 \). First, calculate \( \frac{9}{5}\times42 \). \( \frac{9}{5}\times42=\frac{378}{5} = 75.6 \). Then add 32: \( 75.6+32 = 107.6 \).

Answer:

\( 107.6 \)