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QuestionConvert 175∘F175^{\circ} \mathrm{F} to Celsius. Round your answer to three significant figures.

Studdy Solution

STEP 1

Assumptions1. The temperature of the water is 175∘175^{\circ} \mathrm{} . We need to convert this temperature to degrees Celsius3. The formula to convert Fahrenheit to Celsius is C=59(−32)C = \frac{5}{9}( -32), where CC is the temperature in Celsius and $$ is the temperature in Fahrenheit

STEP 2

Now, we will use the formula to convert the given temperature to degrees Celsius.
C=59(−32)C = \frac{5}{9}( -32)

STEP 3

Plug in the given value for the temperature in Fahrenheit to calculate the temperature in Celsius.
C=59(175∘−32)C = \frac{5}{9}(175^{\circ} \mathrm{} -32)

STEP 4

Perform the subtraction inside the parentheses.
C=9(143)C = \frac{}{9}(143)

STEP 5

Perform the multiplication to calculate the temperature in Celsius.
C=59(143)=79.4444∘CC = \frac{5}{9}(143) =79.4444^{\circ} \mathrm{C}

STEP 6

Finally, we need to express the answer to three significant figures. This means we need to round the temperature to the nearest thousandth place.
C=79.444∘CC =79.444^{\circ} \mathrm{C}The temperature of the hot water in degrees Celsius is 79.444∘C79.444^{\circ} \mathrm{C}.

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