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]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 using the formula [tex]\( C = \frac{5}{9}(F - 32) \)[/tex], we can follow these steps:

1. Identify the given temperature in Fahrenheit:
- Here, [tex]\( F = 50^\circ F \)[/tex].

2. Subtract 32 from the Fahrenheit temperature:
- This step adjusts the Fahrenheit scale to start at zero, similar to the Celsius scale.
- So, [tex]\( 50 - 32 = 18 \)[/tex].

3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
- This step converts the adjusted Fahrenheit temperature to Celsius.
- Thus, [tex]\( \frac{5}{9} \times 18 = 10 \)[/tex].

Therefore, [tex]\( 50^\circ F \)[/tex] is equivalent to [tex]\( 10^\circ C \)[/tex] on the Celsius scale.