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.
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.
