Questions: Convert to Celsius. Use the formula C=5/9 ⋅( F-32). 106° F

Convert to Celsius. Use the formula C=5/9 ⋅( F-32).
106° F
Transcript text: Convert to Celsius. Use the formula $\mathrm{C}=\frac{5}{9} \cdot(\mathrm{~F}-32)$. \[ 106^{\circ} \mathrm{F} \]
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Solution

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Convert \(106^{\circ} \mathrm{F}\) to Celsius using the formula \( \mathrm{C} = \frac{5}{9} \cdot (\mathrm{F} - 32) \).

Identify the given Fahrenheit temperature.

The given Fahrenheit temperature is \(106^{\circ} \mathrm{F}\).

Substitute the given Fahrenheit temperature into the formula.

Substitute \( \mathrm{F} = 106 \) into the formula \( \mathrm{C} = \frac{5}{9} \cdot (\mathrm{F} - 32) \): \[ \mathrm{C} = \frac{5}{9} \cdot (106 - 32) \]

Simplify the expression inside the parentheses.

Calculate \( 106 - 32 \): \[ 106 - 32 = 74 \]

Multiply the result by \(\frac{5}{9}\).

Calculate \( \frac{5}{9} \cdot 74 \): \[ \mathrm{C} = \frac{5}{9} \cdot 74 \approx 41.11 \]

\(\boxed{41.11^{\circ} \mathrm{C}}\)

\(\boxed{41.11^{\circ} \mathrm{C}}\)

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