Answer :
To convert [tex]\(5^{\circ} F\)[/tex] to Celsius using the formula [tex]\(C = \frac{5}{9}(F - 32)\)[/tex], we'll follow these steps:
1. Start with the formula:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
2. Plug in the Fahrenheit temperature:
[tex]\[
F = 5
\][/tex]
3. Subtract 32 from the Fahrenheit temperature:
[tex]\[
F - 32 = 5 - 32 = -27
\][/tex]
4. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times (-27)
\][/tex]
5. Calculate the product:
[tex]\[
C = \frac{5 \times (-27)}{9} = \frac{-135}{9} = -15
\][/tex]
Thus, the equivalent temperature on the Celsius scale is [tex]\(-15^{\circ} C\)[/tex].
1. Start with the formula:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
2. Plug in the Fahrenheit temperature:
[tex]\[
F = 5
\][/tex]
3. Subtract 32 from the Fahrenheit temperature:
[tex]\[
F - 32 = 5 - 32 = -27
\][/tex]
4. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times (-27)
\][/tex]
5. Calculate the product:
[tex]\[
C = \frac{5 \times (-27)}{9} = \frac{-135}{9} = -15
\][/tex]
Thus, the equivalent temperature on the Celsius scale is [tex]\(-15^{\circ} C\)[/tex].
