The temperature of a liquid is [tex]\(75^{\circ} F\)[/tex]. What is its temperature in [tex]\(^{\circ} C\)[/tex]?

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

A. [tex]\(24^{\circ} C\)[/tex]
B. [tex]\(75^{\circ} C\)[/tex]
C. [tex]\(167^{\circ} C\)[/tex]
D. [tex]\(348^{\circ} C\)[/tex]



Answer :

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].