High School

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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 from Fahrenheit ([tex]$F$[/tex]) to Celsius ([tex]$C$[/tex]), we use the formula

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

Given [tex]$F = 57$[/tex]°F, the steps are as follows:

1. Subtract 32 from the Fahrenheit temperature:

[tex]$$
57 - 32 = 25.
$$[/tex]

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

[tex]$$
25 \cdot \frac{5}{9} \approx 13.8889.
$$[/tex]

3. Round the result to the nearest whole number:

[tex]$$
13.8889 \approx 14.
$$[/tex]

Thus, the temperature in Celsius is [tex]$\boxed{14}$[/tex]°C.

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