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]50^{\circ} F[/tex] to its equivalent temperature on the Celsius scale.

[tex]50^{\circ} F = \square^{\circ} C[/tex]

Answer :

To convert a temperature from Fahrenheit to Celsius, you can use the formula:

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

Let's apply this formula to convert [tex]\( 50^\circ \text{F} \)[/tex] to Celsius.

1. Start by taking the Fahrenheit temperature: [tex]\( F = 50 \)[/tex].

2. Subtract 32 from the Fahrenheit temperature:
[tex]\[ 50 - 32 = 18 \][/tex]

3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex] to convert it to Celsius:
[tex]\[ C = \frac{5}{9} \times 18 = 10 \][/tex]

Therefore, [tex]\( 50^\circ \text{F} \)[/tex] is equivalent to [tex]\( 10^\circ \text{C} \)[/tex].