Answer :
To convert a temperature from Fahrenheit to Celsius, we use the formula:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
where [tex]\( F \)[/tex] is the temperature in Fahrenheit and [tex]\( C \)[/tex] is the temperature in Celsius.
Let's go through the steps to convert [tex]\(-10^\circ F\)[/tex] to Celsius:
1. Substitute the given Fahrenheit value into the formula:
[tex]\[ C = \frac{5}{9}(-10 - 32) \][/tex]
2. Calculate the expression inside the parentheses:
[tex]\[ -10 - 32 = -42 \][/tex]
3. Now the formula looks like this:
[tex]\[ C = \frac{5}{9}(-42) \][/tex]
4. Multiply [tex]\(-42\)[/tex] by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5 \times -42}{9} = \frac{-210}{9} \][/tex]
5. Divide [tex]\(-210\)[/tex] by 9:
[tex]\[ C = -23.333333333333336 \][/tex]
So, the temperature [tex]\(-10^\circ F\)[/tex] is equivalent to approximately [tex]\(-23.33^\circ C\)[/tex].
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
where [tex]\( F \)[/tex] is the temperature in Fahrenheit and [tex]\( C \)[/tex] is the temperature in Celsius.
Let's go through the steps to convert [tex]\(-10^\circ F\)[/tex] to Celsius:
1. Substitute the given Fahrenheit value into the formula:
[tex]\[ C = \frac{5}{9}(-10 - 32) \][/tex]
2. Calculate the expression inside the parentheses:
[tex]\[ -10 - 32 = -42 \][/tex]
3. Now the formula looks like this:
[tex]\[ C = \frac{5}{9}(-42) \][/tex]
4. Multiply [tex]\(-42\)[/tex] by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5 \times -42}{9} = \frac{-210}{9} \][/tex]
5. Divide [tex]\(-210\)[/tex] by 9:
[tex]\[ C = -23.333333333333336 \][/tex]
So, the temperature [tex]\(-10^\circ F\)[/tex] is equivalent to approximately [tex]\(-23.33^\circ C\)[/tex].
