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 106F106^{\circ} \mathrm{F} to Celsius using the formula C=59(F32) \mathrm{C} = \frac{5}{9} \cdot (\mathrm{F} - 32) .

Identify the given Fahrenheit temperature.

The given Fahrenheit temperature is 106F106^{\circ} \mathrm{F}.

Substitute the given Fahrenheit temperature into the formula.

Substitute F=106 \mathrm{F} = 106 into the formula C=59(F32) \mathrm{C} = \frac{5}{9} \cdot (\mathrm{F} - 32) : C=59(10632) \mathrm{C} = \frac{5}{9} \cdot (106 - 32)

Simplify the expression inside the parentheses.

Calculate 10632 106 - 32 : 10632=74 106 - 32 = 74

Multiply the result by 59\frac{5}{9}.

Calculate 5974 \frac{5}{9} \cdot 74 : C=597441.11 \mathrm{C} = \frac{5}{9} \cdot 74 \approx 41.11

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

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

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