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------------------------------------------------ An outside thermometer reads [tex]$57^{\circ} F$[/tex]. What is this temperature in [tex]^{\circ} C[/tex]? Round your answer to the nearest whole number.

A. 14
B. 49
C. 71
D. 135

Answer :

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

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

where [tex]\( C \)[/tex] is the temperature in degrees Celsius, and [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.

Let's apply this formula to the given temperature of [tex]\( 57^\circ F \)[/tex]:

1. Subtract 32 from the Fahrenheit temperature:
[tex]\[ 57 - 32 = 25 \][/tex]

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ \frac{5}{9} \times 25 \][/tex]

To calculate this, first multiply [tex]\( 25 \)[/tex] by [tex]\( 5 \)[/tex], which equals [tex]\( 125 \)[/tex]. Then divide [tex]\( 125 \)[/tex] by [tex]\( 9 \)[/tex] to get approximately [tex]\( 13.88888888888889 \)[/tex].

3. Round the result to the nearest whole number:
The result [tex]\( 13.88888888888889 \)[/tex] rounded to the nearest whole number is [tex]\( 14 \)[/tex].

Therefore, the temperature [tex]\( 57^\circ F \)[/tex] is approximately [tex]\( 14^\circ C \)[/tex].