To determine whether Tom will get an extra break, we first need to convert the temperature from Fahrenheit to Celsius using the given formula:
[tex]\[ C = \frac{5(F - 32)}{9} \][/tex]
Here, [tex]\( F \)[/tex] is the temperature in Fahrenheit, which is 86 degrees.
Step-by-step solution:
1. Subtract 32 from the Fahrenheit temperature:
[tex]\[ 86 - 32 = 54 \][/tex]
2. Multiply the result by 5:
[tex]\[ 5 \times 54 = 270 \][/tex]
3. Divide the result by 9:
[tex]\[ \frac{270}{9} = 30 \][/tex]
Therefore, the temperature in Celsius is 30 degrees.
Next, we need to check if this temperature exceeds 32 degrees Celsius. Since 30 is less than 32, Tom will not get an extra break.
The correct answer is:
[tex]\[
\Box \text{ No}
\][/tex]
