College

The formula to convert Fahrenheit to Celsius is [tex]$C=\frac{5}{9}(F-32)$[/tex]. If it is [tex][tex]$5^{\circ} C$[/tex][/tex], what is the temperature in Fahrenheit?

[tex]\square[/tex] degrees Fahrenheit

Answer :

Sure, let's solve this step-by-step!

We are given the temperature in Celsius, which is [tex]\( 5^\circ C \)[/tex], and need to convert this to Fahrenheit. The formula to convert Celsius to Fahrenheit is:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]

Here’s how we use the formula step-by-step:

1. Begin with the given temperature in Celsius:
[tex]\[ C = 5 \][/tex]

2. Substitute [tex]\( C = 5 \)[/tex] into the formula:
[tex]\[ F = \frac{9}{5} \times 5 + 32 \][/tex]

3. First, calculate [tex]\(\frac{9}{5} \times 5\)[/tex]:
[tex]\[ \frac{9}{5} \times 5 = 9 \][/tex]

4. Then add 32 to the result:
[tex]\[ F = 9 + 32 = 41 \][/tex]

Therefore, the temperature in Fahrenheit is [tex]\( 41^\circ F \)[/tex].