Question

the average body temperature of an adult in good health is 98.6 °f. convert this temperature to degrees celsius. round your answer to 3 significant digits. \\(\square\\) °c

Explanation:

Step1: Recall the formula for converting Fahrenheit to Celsius

The formula to convert temperature from Fahrenheit ($^\circ\text{F}$) to Celsius ($^\circ\text{C}$) is $^\circ\text{C} = \frac{5}{9}(^\circ\text{F} - 32)$.

Step2: Substitute the given Fahrenheit temperature into the formula

We are given $^\circ\text{F} = 98.6$. Substitute this into the formula:
First, calculate $98.6 - 32 = 66.6$.
Then, multiply by $\frac{5}{9}$: $^\circ\text{C} = \frac{5}{9} \times 66.6$.
Calculate $\frac{5}{9} \times 66.6 \approx 37.0$ (rounded to 3 significant digits).

Answer:

$37.0$