High School

The formula [tex]F=\frac{9}{5}C+32[/tex] can be used to convert between degrees Celsius ([tex]C[/tex]) and degrees Fahrenheit ([tex]F[/tex]).

What number of degrees Fahrenheit corresponds to [tex]30^{\circ}[/tex] Celsius?

Answer :

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

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

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

Let's apply this formula to find out what 30 degrees Celsius is in degrees Fahrenheit.

1. Identify the Celsius value you want to convert:
In this case, [tex]\( C = 30 \)[/tex].

2. Plug the Celsius value into the formula:
[tex]\[ F = \frac{9}{5} \times 30 + 32 \][/tex]

3. Calculate the part of the formula that involves multiplication:
[tex]\[ \frac{9}{5} \times 30 = 54 \][/tex]

4. Add 32 to the result from the multiplication:
[tex]\[ 54 + 32 = 86 \][/tex]

Therefore, 30 degrees Celsius converts to 86 degrees Fahrenheit.