QQuestionPhysics
QuestionPhysics
Convert 99.6"F to Celsius using the formula $\frac{5}{9} \times\left({ }^{\circ} \mathrm{F}-\right.$ 32).
A. $37.6^{\circ} \mathrm{C}$
B. $37.5^{\circ} \mathrm{C}$
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Answer
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Step 1:: Write down the formula for converting Fahrenheit to Celsius.
The formula is given as $\frac{5}{9} \times\left({ }^{\circ} \mathrm{F}-32\right)$.
Step 2:: Plug in the value for Fahrenheit, which is 99.6°F, into the formula.
\frac{5}{9} \times (99.6^{\circ} \mathrm{F}-32)
Step 3:: Subtract 32 from 99.6°F.
\frac{5}{9} \times (67.6^{\circ} \mathrm{F})
Step 4:: Multiply 67.6 with $\frac{5}{9}$.
To do this, first, convert 5 to a fraction, which is $\frac{5}{1}$.
\frac{5}{1} \times \frac{67.6}{9}
Step 5:: Multiply the fractions.
\frac{338}{9} \approx 37.56^{\circ} \mathrm{C}
Step 6:: Round the answer to two decimal places, as required in this problem.
37.6^{\circ} \mathrm{C}
Final Answer
Therefore, the correct answer is option A.
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