College

The expression [tex]\frac{9}{5} C + 32[/tex], where [tex]C[/tex] stands for temperature in degrees Celsius, is used to convert Celsius to Fahrenheit.

If the temperature is 20 degrees Celsius, find the temperature in degrees Fahrenheit.

Answer :

To convert a temperature from degrees Celsius to degrees Fahrenheit, you can use the formula:

[tex]\[ F = \frac{9}{5} C + 32 \][/tex]

where [tex]\( C \)[/tex] is the temperature in degrees Celsius, and [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.

Let's find the Fahrenheit equivalent of 20 degrees Celsius using this formula:

1. Start with the given formula:
[tex]\[ F = \frac{9}{5} C + 32 \][/tex]

2. Substitute the given Celsius temperature (20 degrees Celsius) into the formula:
[tex]\[ F = \frac{9}{5} \times 20 + 32 \][/tex]

3. Calculate [tex]\(\frac{9}{5} \times 20\)[/tex]:
[tex]\[ \frac{9}{5} \times 20 = 36 \][/tex]

4. Add 32 to the result from step 3:
[tex]\[ 36 + 32 = 68 \][/tex]

Therefore, 20 degrees Celsius is equivalent to 68 degrees Fahrenheit.