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.
[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.