College

The formula [tex]C=\frac{5}{9}(F-32)[/tex] expresses the relationship between Fahrenheit temperature, [tex]F[/tex], and Celsius temperature, [tex]C[/tex]. Use the formula to convert [tex]41^{\circ} F[/tex] to its equivalent temperature on the Celsius scale.

[tex]41^{\circ} F = \square \,^{\circ} C[/tex]

Answer :

Sure! Let's convert [tex]\(41^\circ F\)[/tex] to its equivalent temperature in Celsius using the formula [tex]\(C = \frac{5}{9}(F - 32)\)[/tex].

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

2. Substitute the given Fahrenheit temperature [tex]\(F = 41\)[/tex] into the formula:
[tex]\[
C = \frac{5}{9}(41 - 32)
\][/tex]

3. Calculate the value inside the parentheses:
[tex]\[
41 - 32 = 9
\][/tex]

4. Multiply by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times 9
\][/tex]

5. Simplify the calculation:
[tex]\[
C = 5
\][/tex]

Therefore, [tex]\(41^\circ F\)[/tex] is equivalent to [tex]\(5^\circ C\)[/tex].

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