Math

QuestionConvert 155F155^{\circ} \mathrm{F} to Celsius. Round your answer to three significant figures.

Studdy Solution

STEP 1

Assumptions1. The temperature of the water is 155155^{\circ} \mathrm{} . We are converting this temperature from Fahrenheit to Celsius3. We are using the standard formula for this conversion, which is C=59(32)C = \frac{5}{9}( -32)4. We are rounding the answer to three significant figures

STEP 2

First, we need to use the formula for converting Fahrenheit to Celsius.
C=59(32)C = \frac{5}{9}( -32)

STEP 3

Now, plug in the given temperature in Fahrenheit into the formula.
C=59(15532)C = \frac{5}{9}(155 -32)

STEP 4

Perform the subtraction in the parentheses.
C=9(123)C = \frac{}{9}(123)

STEP 5

Multiply the result by 59\frac{5}{9} to find the temperature in Celsius.
C=59(123)=68.333...C = \frac{5}{9}(123) =68.333...

STEP 6

Finally, round the result to three significant figures.
C=68.3CC =68.3^{\circ} \mathrm{C}The temperature of the water is 68.3C68.3^{\circ} \mathrm{C}.

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