Question
Convert \( 99^{\circ} \mathrm{F} \) to degrees Celsius. If necessary, round your answer to the nearest tenth of a degree. Here are the formulas. \[ C=\frac{5}{9}(F-32) \] \( F=\frac{9}{5} C+32 \) \( 99^{\circ} \mathrm{F}=[]^{\circ} \mathrm{C} \)
Ask by Ross Olson. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 99^\circ \text{F} \) is approximately \( 37.2^\circ \text{C} \).
Solution
1. Use the formula for converting Fahrenheit to Celsius:
\[
C = \frac{5}{9}(F - 32)
\]
2. Substitute \( F = 99 \) into the formula:
\[
C = \frac{5}{9}(99 - 32)
\]
3. Calculate the difference inside the parentheses:
\[
99 - 32 = 67
\]
4. Now, substitute back into the formula:
\[
C = \frac{5}{9} \times 67 = \frac{335}{9}
\]
5. Divide \( 335 \) by \( 9 \) to get the decimal:
\[
\frac{335}{9} \approx 37.2222
\]
6. Round the result to the nearest tenth:
\[
37.2^\circ \text{C}
\]
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Simplify this solution Mind Expander
To convert \( 99^{\circ} \mathrm{F} \) to degrees Celsius, we can use the formula: \[ C = \frac{5}{9}(F - 32) \] Plugging in \( F = 99 \): \[ C = \frac{5}{9}(99 - 32) = \frac{5}{9}(67) = \frac{335}{9} \approx 37.2222 \] Rounding to the nearest tenth, we find: \[ C \approx 37.2^{\circ} \mathrm{C} \] So, \( 99^{\circ} \mathrm{F} \approx 37.2^{\circ} \mathrm{C} \).
