Math

QuestionConvert 100.0F100.0^{\circ} \mathrm{F} to degrees Celsius and include the unit symbol in your answer.

Studdy Solution

STEP 1

Assumptions1. The temperature in Fahrenheit is 100.0100.0^{\circ} \mathrm{} . We are converting this temperature to degrees Celsius3. The formula to convert Fahrenheit to Celsius is C=(32)×59C = ( -32) \times \frac{5}{9}, where CC is the temperature in Celsius and $$ is the temperature in Fahrenheit

STEP 2

We need to convert the temperature from Fahrenheit to Celsius. We can do this by plugging the given Fahrenheit temperature into the conversion formula.
C=(32)×59C = ( -32) \times \frac{5}{9}

STEP 3

Now, plug in the given value for the Fahrenheit temperature to calculate the Celsius temperature.
C=(100.032)×59C = (100.0^{\circ} \mathrm{} -32) \times \frac{5}{9}

STEP 4

Perform the subtraction inside the parentheses.
C=(68.0)×9C = (68.0) \times \frac{}{9}

STEP 5

Perform the multiplication to calculate the Celsius temperature.
C=68.0×59=37.78CC =68.0 \times \frac{5}{9} =37.78^{\circ} \mathrm{C}The temperature of 100.0100.0^{\circ} \mathrm{} is equivalent to 37.78C37.78^{\circ} \mathrm{C}.

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