Answer :
Sure, let's go step-by-step to convert [tex]\( 50^\circ F \)[/tex] to its equivalent temperature in Celsius.
1. Identify the formula: The relationship between Fahrenheit temperature [tex]\( F \)[/tex] and Celsius temperature [tex]\( C \)[/tex] is given by the formula:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
2. Substitute the given Fahrenheit temperature into the formula: Here, [tex]\( F = 50 \)[/tex]. So, we substitute [tex]\( 50 \)[/tex] for [tex]\( F \)[/tex] in the formula:
[tex]\[
C = \frac{5}{9}(50 - 32)
\][/tex]
3. Calculate the expression inside the parentheses: Subtract [tex]\( 32 \)[/tex] from [tex]\( 50 \)[/tex]:
[tex]\[
50 - 32 = 18
\][/tex]
4. Multiply by [tex]\( \frac{5}{9} \)[/tex]: Now, multiply [tex]\( 18 \)[/tex] by [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[
C = \frac{5}{9} \times 18
\][/tex]
5. Simplify the multiplication: Perform the multiplication:
[tex]\[
C = \frac{5 \times 18}{9} = \frac{90}{9} = 10
\][/tex]
So, [tex]\( 50^\circ F \)[/tex] is equivalent to [tex]\( 10^\circ C \)[/tex].
Therefore, the answer is:
[tex]\[
50^\circ F = 10^\circ C
\][/tex]
1. Identify the formula: The relationship between Fahrenheit temperature [tex]\( F \)[/tex] and Celsius temperature [tex]\( C \)[/tex] is given by the formula:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
2. Substitute the given Fahrenheit temperature into the formula: Here, [tex]\( F = 50 \)[/tex]. So, we substitute [tex]\( 50 \)[/tex] for [tex]\( F \)[/tex] in the formula:
[tex]\[
C = \frac{5}{9}(50 - 32)
\][/tex]
3. Calculate the expression inside the parentheses: Subtract [tex]\( 32 \)[/tex] from [tex]\( 50 \)[/tex]:
[tex]\[
50 - 32 = 18
\][/tex]
4. Multiply by [tex]\( \frac{5}{9} \)[/tex]: Now, multiply [tex]\( 18 \)[/tex] by [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[
C = \frac{5}{9} \times 18
\][/tex]
5. Simplify the multiplication: Perform the multiplication:
[tex]\[
C = \frac{5 \times 18}{9} = \frac{90}{9} = 10
\][/tex]
So, [tex]\( 50^\circ F \)[/tex] is equivalent to [tex]\( 10^\circ C \)[/tex].
Therefore, the answer is:
[tex]\[
50^\circ F = 10^\circ C
\][/tex]
