College

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Explain how to convert 100.2 degrees Fahrenheit to Celsius using the formula [tex]C = \frac{5}{9}(F - 32)[/tex].

Answer :

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).

  1. First, substitute the Fahrenheit value into the formula: °C = 5/9 (100.2 - 32).

  2. Next, perform the subtraction inside the parentheses: 100.2 - 32 = 68.2.

  3. Now, multiply 68.2 by the fraction 5/9: 68.2 × 5/9 ≈ 37.89.

  4. The result is rounded to two decimal places for accuracy. Thus, 100.2 degrees Fahrenheit is approximately 37.89 degrees Celsius.

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.

Other Questions