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The formula [tex]C=\frac{5}{9}(F-32)[/tex] expresses the relationship between Fahrenheit temperature, [tex]F[/tex], and Celsius temperature, [tex]C[/tex]. Use the formula to convert [tex]86^{\circ} F[/tex] to its equivalent temperature on the Celsius scale.

[tex]86^{\circ} F = \square^{\circ} C[/tex]

Answer :

Sure! Let's use the formula [tex]\( C = \frac{5}{9}(F - 32) \)[/tex] to convert [tex]\( 86^\circ F \)[/tex] to Celsius.

Step-by-Step Solution:

1. Write down the given formula:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]

2. Substitute the given Fahrenheit temperature, [tex]\( F=86 \)[/tex], into the formula:
[tex]\[
C = \frac{5}{9}(86 - 32)
\][/tex]

3. Perform the subtraction inside the parentheses:
[tex]\[
86 - 32 = 54
\][/tex]

4. Substitute back into the formula:
[tex]\[
C = \frac{5}{9} \times 54
\][/tex]

5. Multiply [tex]\( \frac{5}{9} \)[/tex] by 54:
[tex]\[
\frac{5 \times 54}{9} = \frac{270}{9} = 30
\][/tex]

6. So, the equivalent temperature in Celsius is:
[tex]\[
86^\circ F = 30^\circ C
\][/tex]

Therefore, [tex]\( 86^\circ F \)[/tex] is equal to [tex]\( 30^\circ C \)[/tex] on the Celsius scale.

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