High School

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.

Answer :

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

[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]

where [tex]\( F \)[/tex] is the temperature in Fahrenheit, and [tex]\( C \)[/tex] is the temperature in Celsius.

Let's work through the conversion step-by-step for [tex]\( 86^\circ F \)[/tex]:

1. Subtract 32 from the Fahrenheit temperature:
[tex]\[
86 - 32 = 54
\][/tex]

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times 54
\][/tex]

3. Calculate the resulting Celsius temperature:
[tex]\[
C = \frac{5}{9} \times 54 = 30
\][/tex]

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