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 Fahrenheit and [tex]\( C \)[/tex] is the temperature in Celsius.
Given:
[tex]\[
F = 57^{\circ} F
\][/tex]
Substituting [tex]\( F = 57 \)[/tex] into the formula, we have:
[tex]\[
C = \frac{5}{9} (57 - 32)
\][/tex]
First, calculate the difference inside the parentheses:
[tex]\[
57 - 32 = 25
\][/tex]
Next, multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times 25
\][/tex]
So,
[tex]\[
C = \frac{125}{9}
\][/tex]
Dividing 125 by 9:
[tex]\[
C \approx 13.88888888888889
\][/tex]
The temperature in Celsius is approximately [tex]\( 13.89^{\circ} C \)[/tex].
To find the temperature rounded to the nearest whole number, we consider the decimal part (0.88888888888889). Since it is greater than 0.5, we round up.
Thus, [tex]\( 13.89^{\circ} C \)[/tex] rounded to the nearest whole number is:
[tex]\[
14^{\circ} C
\][/tex]
So, the temperature in [tex]\( {}^{\circ} C \)[/tex] is [tex]\( 14 \)[/tex]. The correct answer from the given choices is:
[tex]\[
14
\][/tex]
[tex]\[
C = \frac{5}{9} (F - 32)
\][/tex]
where [tex]\( F \)[/tex] is the temperature in Fahrenheit and [tex]\( C \)[/tex] is the temperature in Celsius.
Given:
[tex]\[
F = 57^{\circ} F
\][/tex]
Substituting [tex]\( F = 57 \)[/tex] into the formula, we have:
[tex]\[
C = \frac{5}{9} (57 - 32)
\][/tex]
First, calculate the difference inside the parentheses:
[tex]\[
57 - 32 = 25
\][/tex]
Next, multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times 25
\][/tex]
So,
[tex]\[
C = \frac{125}{9}
\][/tex]
Dividing 125 by 9:
[tex]\[
C \approx 13.88888888888889
\][/tex]
The temperature in Celsius is approximately [tex]\( 13.89^{\circ} C \)[/tex].
To find the temperature rounded to the nearest whole number, we consider the decimal part (0.88888888888889). Since it is greater than 0.5, we round up.
Thus, [tex]\( 13.89^{\circ} C \)[/tex] rounded to the nearest whole number is:
[tex]\[
14^{\circ} C
\][/tex]
So, the temperature in [tex]\( {}^{\circ} C \)[/tex] is [tex]\( 14 \)[/tex]. The correct answer from the given choices is:
[tex]\[
14
\][/tex]
