Answer :
To convert a temperature from degrees Fahrenheit to degrees Celsius, we need to rearrange the given formula, which converts Celsius to Fahrenheit:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
Let's go through the steps to solve for [tex]\( C \)[/tex] in terms of [tex]\( F \)[/tex]:
1. Subtract 32 from both sides of the equation to eliminate the constant on the right:
[tex]\[ F - 32 = \frac{9}{5}C \][/tex]
2. Isolate [tex]\( C \)[/tex] by multiplying both sides of the equation by the reciprocal of [tex]\(\frac{9}{5}\)[/tex], which is [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
Now, we have the formula to convert Fahrenheit to Celsius:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
This formula allows you to convert any temperature from Fahrenheit to Celsius by plugging in the Fahrenheit value for [tex]\( F \)[/tex].
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
Let's go through the steps to solve for [tex]\( C \)[/tex] in terms of [tex]\( F \)[/tex]:
1. Subtract 32 from both sides of the equation to eliminate the constant on the right:
[tex]\[ F - 32 = \frac{9}{5}C \][/tex]
2. Isolate [tex]\( C \)[/tex] by multiplying both sides of the equation by the reciprocal of [tex]\(\frac{9}{5}\)[/tex], which is [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
Now, we have the formula to convert Fahrenheit to Celsius:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
This formula allows you to convert any temperature from Fahrenheit to Celsius by plugging in the Fahrenheit value for [tex]\( F \)[/tex].
