To convert a temperature from Fahrenheit to Celsius, you can use the formula:
[tex]\[ C = (F - 32) \times \frac{5}{9} \][/tex]
Here, the given temperature in Fahrenheit (F) is [tex]\( 75^{\circ} F \)[/tex].
Following the steps:
1. Subtract 32 from the Fahrenheit temperature:
[tex]\[ 75 - 32 = 43 \][/tex]
2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ 43 \times \frac{5}{9} \][/tex]
3. Perform the multiplication:
[tex]\[ 43 \times \frac{5}{9} = 23.88888888888889 \][/tex]
Therefore, the temperature of the liquid in Celsius is approximately [tex]\( 23.89^\circ C \)[/tex]. This value matches closely with the option rounded to the nearest degree.
The correct answer is [tex]\( 24^{\circ} C \)[/tex].