Question

convert the given fahrenheit temperature to its equivalent temperature on the celsius scale. use $c = \frac{5}{9}(f - 32)$ or $f = \frac{9}{5}c + 32$, where $f$ is the degrees in fahrenheit and $c$ is the degrees in celsius. 90°f $90°f = \square °c$ (round to the nearest tenth as needed.)

Explanation:

Step1: Identify the formula and substitute F

We use the formula \( C=\frac{5}{9}(F - 32) \). Substitute \( F = 90 \) into the formula:
\( C=\frac{5}{9}(90 - 32) \)

Step2: Calculate the value inside the parentheses

First, calculate \( 90 - 32 = 58 \). So now we have:
\( C=\frac{5}{9}\times58 \)

Step3: Perform the multiplication

Calculate \( \frac{5\times58}{9}=\frac{290}{9}\approx32.2 \) (rounded to the nearest tenth)

Answer:

\( 32.2 \)