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Step 1:I'll solve this temperature conversion problem step by step using the precise LaTeX formatting guidelines you specified.
Step 2:: Recall the temperature conversion formula
- $$T_{C}$$ is the temperature in Celsius
The formula to convert Celsius to Fahrenheit is: Where:
Step 3:: Substitute the given temperature
We'll plug in 38.2°C for $$T_{C}$$:
T_{F} = \frac{9}{5} (38.2) + 32
Step 4:: Perform the multiplication
T_{F} = \frac{9}{5} \times 38.2 + 32
T_{F} = 68.76 + 32
Step 5:: Calculate the final temperature
T_{F} = 100.76
Final Answer
38.2°C = 100.8°F (rounded to the nearest tenth)
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