Question

convert 40°f to degrees celsius. if necessary, round your answer to the nearest tenth of a degree. here are the formulas. $c = \frac{5}{9}(f - 32)$ $f = \frac{9}{5}c + 32$

Explanation:

Step1: Substitute F = 40 into the formula

We use the formula \( C=\frac{5}{9}(F - 32) \). Substitute \( F = 40 \) into it, we get \( C=\frac{5}{9}(40 - 32) \).

Step2: Calculate the value inside the parentheses

First, calculate \( 40-32 = 8 \). So now the formula becomes \( C=\frac{5}{9}\times8 \).

Step3: Calculate the final value of C

Calculate \( \frac{5}{9}\times8=\frac{40}{9}\approx4.4 \) (rounded to the nearest tenth).

Answer:

\( 4.4^{\circ}\text{C} \)