Answered

Which is equal to a temperature of [tex]50^{\circ} F[/tex]?

A. [tex]18^{\circ} C[/tex]
B. [tex]46^{\circ} C[/tex]
C. [tex]10^{\circ} C[/tex]
D. [tex]32^{\circ} C[/tex]



Answer :

To convert a temperature from Fahrenheit (°F) to Celsius (°C), we can use the following formula:

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

Given the temperature in Fahrenheit is 50°F, we'll substitute 50 for \( F \) in the formula:

[tex]\[ C = (50 - 32) \times \frac{5}{9} \][/tex]

Now, solve the expression inside the parentheses first:

[tex]\[ 50 - 32 = 18 \][/tex]

Next, multiply 18 by \( \frac{5}{9} \):

[tex]\[ C = 18 \times \frac{5}{9} \][/tex]

[tex]\[ C = 18 \div 9 \times 5 \][/tex]

[tex]\[ C = 2 \times 5 \][/tex]

[tex]\[ C = 10 \][/tex]

Thus, a temperature of 50°F is equal to 10°C.

So, among the given options, the correct answer is:

[tex]\[ 10^{\circ} C \][/tex]

Hence, the temperature 50°F is equal to [tex]\( 10^{\circ} C \)[/tex].