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Convert \( 38^{\circ} \mathrm{F} \) to degrees Celsius. If necessary, round your answer to the nearest tenth of a degree. Here are the formulas. \( \mathrm{C}=\frac{5}{9}(F-32) \) \( F=\frac{9}{5} C+32 \) \( 38^{\circ} \mathrm{F}=\square^{\circ} \mathrm{C} \)

Ask by West Fowler. in the United States
Mar 10,2025

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Answer

\( 38^\circ \mathrm{F} \approx 3.3^\circ \mathrm{C} \)

Solution

1. Start with the conversion formula: \[ \mathrm{C} = \frac{5}{9}(F - 32) \] 2. Substitute \( F = 38^\circ \mathrm{F} \) into the formula: \[ \mathrm{C} = \frac{5}{9}(38 - 32) \] 3. Simplify the expression inside the parentheses: \[ 38 - 32 = 6 \] So the equation becomes: \[ \mathrm{C} = \frac{5}{9}(6) \] 4. Multiply: \[ \mathrm{C} = \frac{30}{9} \] 5. Simplify the fraction: \[ \frac{30}{9} = \frac{10}{3} \approx 3.3 \] (Rounded to the nearest tenth.) 6. Therefore, the converted temperature is: \[ 38^\circ \mathrm{F} \approx 3.3^\circ \mathrm{C} \]

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To convert \( 38^{\circ} \mathrm{F} \) to degrees Celsius, we can use the formula \( \mathrm{C}=\frac{5}{9}(F-32) \). Plugging in the values, we get: \[ \mathrm{C} = \frac{5}{9}(38 - 32) = \frac{5}{9} \times 6 = \frac{30}{9} \approx 3.3 \] So, \( 38^{\circ} \mathrm{F} \approx 3.3^{\circ} \mathrm{C} \). If you're ever in a situation where you need to convert temperatures frequently, consider keeping a small calculator or a conversion app handy. This can save you time and ensure accuracy, particularly when dealing with extreme temperatures, like in scientific experiments or while cooking! An interesting fact is that the Fahrenheit scale was developed in the early 18th century by Daniel Gabriel Fahrenheit, a Polish-German physicist. He originally defined 0°F based on the temperature of a mixture of ice, water, and salt, and his scale was later adjusted to make it more practical for everyday use. Isn't it fascinating how everyday temperatures have such intriguing origins?

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