Answer :
Step 1: Write out the formula for conversion
[tex]C=(F-32)\times\frac{5}{9}[/tex]where:
[tex]\begin{gathered} C=\text{ Temperature in degrees Celsius} \\ F=\text{ Temperature in degrees Fahrenheit} \end{gathered}[/tex]Step 2: Identify the given parameters
In the question, we are given the temperature in degrees Fahrenheit to be:
[tex]F=100.2[/tex]Step 3: Substitute 100.2 for F into the formula for the conversion
[tex]C=(100.2-32)\times\frac{5}{9}[/tex]Step 4: Solve for C using a calculator
[tex]C=37.89[/tex]ANSWER:
The answer is 37.89°C.
100.2°F equals approximately 37.89°C.
To convert 100.2 degrees Fahrenheit to Celsius, you can use the formula: °C = 5/9 (°F - 32).
First, substitute the Fahrenheit value into the formula: °C = 5/9 (100.2 - 32).
Next, perform the subtraction inside the parentheses: 100.2 - 32 = 68.2.
Now, multiply 68.2 by the fraction 5/9: 68.2 × 5/9 ≈ 37.89.
The result is rounded to two decimal places for accuracy. Thus, 100.2 degrees Fahrenheit is approximately 37.89 degrees Celsius.