To convert a temperature from Celsius to Fahrenheit, we use the formula:
[tex]\[ F = C \times \frac{9}{5} + 32 \][/tex]
Let's walk through the steps:
1. Identify the given temperature in Celsius:
In this case, the temperature is [tex]\( -20^{\circ} C \)[/tex].
2. Apply the conversion formula:
Using the formula [tex]\( F = C \times \frac{9}{5} + 32 \)[/tex], we substitute [tex]\(C\)[/tex] with [tex]\(-20\)[/tex]:
[tex]\[
F = (-20) \times \frac{9}{5} + 32
\][/tex]
3. Perform the multiplication:
[tex]\[
(-20) \times \frac{9}{5} = -36
\][/tex]
4. Add 32 to the result:
[tex]\[
-36 + 32 = -4
\][/tex]
Therefore, the temperature in degrees Fahrenheit is:
[tex]\[
-20^{\circ} C = -4^{\circ} F
\][/tex]
So, [tex]\( -20^{\circ} C \)[/tex] is equal to [tex]\( -4^{\circ} F \)[/tex].