High School

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 :

To convert a temperature from Fahrenheit to Celsius, we start with the formula

[tex]$$
C = \frac{5}{9}(F - 32).
$$[/tex]

Here, the Fahrenheit temperature is [tex]$41^\circ F$[/tex]. Follow these steps:

1. Subtract 32 from the Fahrenheit temperature:

[tex]$$
F - 32 = 41 - 32 = 9.
$$[/tex]

2. Multiply the result by [tex]$\frac{5}{9}$[/tex]:

[tex]$$
C = \frac{5}{9} \times 9.
$$[/tex]

3. Simplify the multiplication:

[tex]$$
\frac{5}{9} \times 9 = 5.
$$[/tex]

Thus, the temperature in Celsius is

[tex]$$
41^\circ F = 5^\circ C.
$$[/tex]

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