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Answer :
To convert a temperature from Fahrenheit to Celsius, we use the formula
[tex]$$
C = \frac{5}{9}(F - 32)
$$[/tex]
where [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.
1. Start with the given temperature:
[tex]$$ F = 57^\circ F $$[/tex]
2. Substitute [tex]\( F = 57 \)[/tex] into the formula:
[tex]$$
C = \frac{5}{9}(57 - 32)
$$[/tex]
3. Compute the difference inside the parentheses:
[tex]$$
57 - 32 = 25
$$[/tex]
4. Multiply by [tex]\( \frac{5}{9} \)[/tex]:
[tex]$$
C = \frac{5}{9} \times 25 = \frac{125}{9} \approx 13.8889
$$[/tex]
5. Round the result to the nearest whole number:
[tex]$$
13.8889 \approx 14
$$[/tex]
Thus, the temperature in Celsius, rounded to the nearest whole number, is
[tex]$$
14^\circ C.
$$[/tex]
[tex]$$
C = \frac{5}{9}(F - 32)
$$[/tex]
where [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.
1. Start with the given temperature:
[tex]$$ F = 57^\circ F $$[/tex]
2. Substitute [tex]\( F = 57 \)[/tex] into the formula:
[tex]$$
C = \frac{5}{9}(57 - 32)
$$[/tex]
3. Compute the difference inside the parentheses:
[tex]$$
57 - 32 = 25
$$[/tex]
4. Multiply by [tex]\( \frac{5}{9} \)[/tex]:
[tex]$$
C = \frac{5}{9} \times 25 = \frac{125}{9} \approx 13.8889
$$[/tex]
5. Round the result to the nearest whole number:
[tex]$$
13.8889 \approx 14
$$[/tex]
Thus, the temperature in Celsius, rounded to the nearest whole number, is
[tex]$$
14^\circ C.
$$[/tex]
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