Questions: The average outside temperature in New York City during August is 82.2°C. Convert this temperature to degrees Celsius. Round your answer to 3 significant digits.

The average outside temperature in New York City during August is 82.2°C. Convert this temperature to degrees Celsius. Round your answer to 3 significant digits.
Transcript text: The average outside temperature in New York City during August is $82.2^{\circ} \mathrm{F}$. Convert this temperature to degrees Celsius. Round your answer to 3 significant digits.
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Solution

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Solution Steps

Step 1: Identify the formula for conversion

To convert a temperature from Fahrenheit to Celsius, we use the formula: \[ C = \frac{5}{9} (F - 32) \]

Step 2: Substitute the given temperature into the formula

Given \( F = 82.2 \): \[ C = \frac{5}{9} (82.2 - 32) \]

Step 3: Perform the subtraction inside the parentheses

\[ 82.2 - 32 = 50.2 \]

Step 4: Multiply by \(\frac{5}{9}\)

\[ C = \frac{5}{9} \times 50.2 \]

Step 5: Calculate the result

\[ C = \frac{5 \times 50.2}{9} = \frac{251}{9} \approx 27.8889 \]

Step 6: Round to 3 significant digits

\[ C \approx 27.9 \]

Final Answer

\[ \boxed{27.9^{\circ} \mathrm{C}} \]

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