Step 1: Write out the formula for conversion
![C=(F-32)*(5)/(9)](https://img.qammunity.org/2023/formulas/mathematics/college/ew12wrq8w9fjh37tgu1fnnbe1d5kho6bgb.png)
where:
![\begin{gathered} C=\text{ Temperature in degrees Celsius} \\ F=\text{ Temperature in degrees Fahrenheit} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ekj5zz2b6umc8r0i55ktjfvtffvpaljkzz.png)
Step 2: Identify the given parameters
In the question, we are given the temperature in degrees Fahrenheit to be:
![F=100.2](https://img.qammunity.org/2023/formulas/mathematics/college/ul94ay283flhym0qz0fr60yk29arbil54k.png)
Step 3: Substitute 100.2 for F into the formula for the conversion
![C=(100.2-32)*(5)/(9)](https://img.qammunity.org/2023/formulas/mathematics/college/74ijrnto2qu1ec3841yv0xr9yb8grqtmt8.png)
Step 4: Solve for C using a calculator
![C=37.89](https://img.qammunity.org/2023/formulas/mathematics/college/ng7kt71bwz1xe6vinqwwoixxa9ih8odbz4.png)
ANSWER:
The answer is 37.89°C.