College

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 [tex]\( 86^\circ F \)[/tex] to Celsius using the formula [tex]\( C = \frac{5}{9}(F - 32) \)[/tex], follow these steps:

1. Identify the Fahrenheit temperature (F):
In this case, [tex]\( F = 86 \)[/tex].

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

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

4. Calculate the multiplication to find the Celsius temperature:
[tex]\[
C = \frac{5}{9} \times 54 = 30
\][/tex]

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