Question

real numbers
converting between temperatures in fahrenheit and celsius
convert 45°f to degrees celsius.
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
45 °f = \square °c

Explanation:

Step1: Identify the formula

We use the formula for converting Fahrenheit to Celsius: \( C = \frac{5}{9}(F - 32) \). Here, \( F = 45 \).

Step2: Substitute F into the formula

Substitute \( F = 45 \) into \( C = \frac{5}{9}(F - 32) \):
\( C = \frac{5}{9}(45 - 32) \)

Step3: Calculate inside the parentheses

First, calculate \( 45 - 32 = 13 \). So now we have \( C = \frac{5}{9} \times 13 \)

Step4: Perform the multiplication

Calculate \( \frac{5}{9} \times 13 = \frac{65}{9} \approx 7.222\ldots \)

Step5: Round to the nearest tenth

Rounding \( 7.222\ldots \) to the nearest tenth gives \( 7.2 \).

Answer:

\( 7.2 \)