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# Convert 63 ${ }^{\circ} \mathrm{F}$ to degrees Celsius. If necessary, round your answer to the nearest tenth of a degree. Here are the formulas: \begin{gathered} F=\frac{9}{5} C+ 32 \\ C=\frac{5}{9}(F- 32) \end{gathered}
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Answer

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Step 1:
: Identify the formula to use.

where $F$ is the temperature in Fahrenheit and $C$ is the temperature in Celsius.
In this case, we are given the formula to convert from Fahrenheit to Celsius:

Step 2:
: Plug in the given temperature in Fahrenheit into the formula.

C=\frac{5}{9}((63)^{\circ} \mathrm{F}-32)

Step 3:
: Subtract 32 from 63 inside the parentheses.

C=\frac{5}{9}((31)^{\circ} \mathrm{F})

Step 4:
: Multiply 5 by 31 and divide the result by 9.

C=\frac{155}{9}

Step 5:
: Convert the fraction to a decimal by dividing 155 by 9.

C=17.2222222222

Step 6:
: Round the result to the nearest tenth of a degree.

C \approx 17.2^{\circ} \mathrm{C}

Final Answer

The temperature of 63 ${ }^{\circ} \mathrm{F}$ is approximately 17.2${ }^{\circ} \mathrm{C}$.