QQuestionMathematics
QuestionMathematics
# Convert 54°F to degrees Celsius. If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas:
C=\frac{5}{9}(F- 32)
F=\frac{9}{5} C+ 32
$54^{\circ} \mathrm{F}=$ $\qquad$ ${ }^{\circ} \mathrm{C}$
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Answer
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Step 1:I'll solve this temperature conversion problem step by step using the given formula.
Step 2:: Identify the given temperature and conversion formula
- Given temperature: $$54^{\circ} \mathrm{F}
- Conversion formula: C = \frac{5}{9}(F- 32)
Step 3:: Substitute the known temperature into the formula
- Replace $$F$$ with $$54
C = \frac{5}{9}(54 - 32)
Step 4:: Solve the calculation inside the parentheses
C = \frac{5}{9}(22)
Step 5:: Multiply
C = \frac{5 \times 22}{9}
Step 6:: Calculate the final value
C = \frac{110}{9}
C = 12.2^{\circ} \mathrm{C}
Final Answer
54^{\circ} \mathrm{F} = 12.2^{\circ} \mathrm{C}
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