High School

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The day's high temperature in Phoenix, Arizona was recorded as [tex]$113^{\circ} F$[/tex].

Use the formula [tex]$C = \frac{5}{9}(F-32)$[/tex] to write [tex]$113^{\circ} F$[/tex] as degrees Celsius.

What is the day's high temperature in degrees Celsius?

Answer :

To convert the temperature from Fahrenheit to Celsius using the formula [tex]\( C = \frac{5}{9}(F - 32) \)[/tex], follow these steps:

1. Identify the Fahrenheit Temperature: The temperature given is [tex]\( 113^\circ F \)[/tex].

2. Substitute into the Formula: Plug the Fahrenheit temperature into the formula.
[tex]\[
C = \frac{5}{9}(113 - 32)
\][/tex]

3. Calculate the Difference: Subtract 32 from 113.
[tex]\[
113 - 32 = 81
\][/tex]

4. Apply the Multiplication Factor: Multiply the result by [tex]\(\frac{5}{9}\)[/tex].
[tex]\[
C = \frac{5}{9} \times 81
\][/tex]

5. Perform the Multiplication:
[tex]\[
\frac{5}{9} \times 81 = 5 \times 9 = 45
\][/tex]

So, the temperature in Celsius is [tex]\( 45^\circ C \)[/tex].

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