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

[tex]68^{\circ} F = \square^{\circ} C[/tex]


Sagot :

To convert a temperature from Fahrenheit to Celsius using the formula [tex]\( C = \frac{5}{9}(F - 32) \)[/tex], we follow a series of steps. We will apply these steps to convert [tex]\( 68^{\circ} F \)[/tex] to Celsius.

1. Identify the given temperature in Fahrenheit:
[tex]\[ F = 68^{\circ} F \][/tex]

2. Subtract 32 from the Fahrenheit temperature:
[tex]\[ 68 - 32 = 36 \][/tex]

3. Multiply the result by [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[ C = \frac{5}{9} \times 36 \][/tex]

4. Calculate the multiplication:
[tex]\[ C = 20 \][/tex]

Thus, [tex]\( 68^{\circ} F \)[/tex] is equivalent to [tex]\( 20^{\circ} C \)[/tex].

So, [tex]\( 68^{\circ} F = 20^{\circ} C \)[/tex].