18. If a thermometer reads [tex]52^{\circ}F[/tex], what is the temperature in Celsius?

A. [tex]72.25^{\circ}C[/tex]
B. [tex]8.5^{\circ}C[/tex]
C. [tex]18.73^{\circ}C[/tex]
D. [tex]11.11^{\circ}C[/tex]



Answer :

Let's convert the temperature from Fahrenheit to Celsius step by step.

1. Start with the temperature in Fahrenheit, which is given as [tex]\(52^{\circ} F\)[/tex].

2. Use the formula to convert Fahrenheit to Celsius:
[tex]\[ C = \frac{5}{9} \times (F - 32) \][/tex]
where [tex]\(F\)[/tex] is the temperature in Fahrenheit and [tex]\(C\)[/tex] is the temperature in Celsius.

3. Substitute the given Fahrenheit temperature into the formula:
[tex]\[ C = \frac{5}{9} \times (52 - 32) \][/tex]

4. Calculate the difference inside the parentheses first:
[tex]\[ 52 - 32 = 20 \][/tex]

5. Now, multiply by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times 20 \][/tex]

6. Perform the multiplication:
[tex]\[ C = \frac{100}{9} \approx 11.11 \][/tex]

Therefore, the temperature in Celsius is [tex]\(11.11^{\circ} C\)[/tex].

The correct answer is:
[tex]\[ \boxed{11.11^{\circ} C} \][/tex]