Answered

Convert 86 degrees Fahrenheit to degrees Celsius.

A) [tex]$60^{\circ} C$[/tex]
B) [tex]$30^{\circ} C$[/tex]
C) [tex][tex]$192^{\circ} C$[/tex][/tex]
D) [tex]$48^{\circ} C$[/tex]



Answer :

To convert 86 degrees Fahrenheit to degrees Celsius, follow these steps:

1. Start with the temperature in Fahrenheit: [tex]\( 86^{\circ} F \)[/tex].

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

3. Substitute [tex]\( F = 86 \)[/tex] into the formula:
[tex]\[ C = \frac{5}{9} \times (86 - 32) \][/tex]

4. Calculate the difference inside the parentheses:
[tex]\[ 86 - 32 = 54 \][/tex]

5. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times 54 \][/tex]

6. First, divide 54 by 9:
[tex]\[ 54 \div 9 = 6 \][/tex]

7. Then, multiply the result by 5:
[tex]\[ 6 \times 5 = 30 \][/tex]

So, [tex]\( 86^{\circ} F \)[/tex] is equal to [tex]\( 30^{\circ} C \)[/tex].

Thus, the correct answer is:
B) [tex]\( 30^{\circ} C \)[/tex]