High School

Convert the temperature to Celsius. To convert a temperature from one scale to a temperature on the other, use the equation F = 9/5 C + 32, where F is the Fahrenheit temperature and C is the Celsius temperature. A high temperature of 111° Fahrenheit was recorded in a desert. Convert the temperature to Celsius.

Answer :

To convert the temperature from Fahrenheit to Celsius, we can use the formula:

[tex]F = \frac{9}{5}C + 32[/tex]

where:

  • [tex]F[/tex] is the temperature in Fahrenheit
  • [tex]C[/tex] is the temperature in Celsius

We need to convert [tex]F = 111\degree[/tex] Fahrenheit to Celsius. Let's rearrange the formula to solve for [tex]C[/tex]:

  1. Subtract 32 from both sides of the equation:
    [tex]F - 32 = \frac{9}{5}C[/tex]

  2. Multiply both sides of the equation by [tex]\frac{5}{9}[/tex] to isolate [tex]C[/tex]:
    [tex]C = \frac{5}{9}(F - 32)[/tex]

Now, substitute [tex]F = 111 \degree[/tex] into the equation:

  1. Calculate:
    [tex]C = \frac{5}{9}(111 - 32)[/tex]

  2. Simplify inside the parentheses first:
    [tex]111 - 32 = 79[/tex]

  3. Continue with the calculation:
    [tex]C = \frac{5}{9} \times 79[/tex]

  4. Multiply:
    [tex]C \approx \frac{395}{9} \approx 43.89[/tex]

Therefore, a high temperature of 111° Fahrenheit is approximately 43.89° Celsius.

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