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]
