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Answer :
Final Answer:
The statement "38.4 degrees Celsius is approximately 101 degrees Fahrenheit" is False because, after precise conversion using the formula F = 9/5 * C + 32, the calculated value is approximately 101.12 degrees Fahrenheit, not precisely 101 degrees.
Explanation:
The conversion between Celsius (°C) and Fahrenheit (°F) involves a linear transformation. The formula to convert Celsius to Fahrenheit is °F = 9/5 °C + 32. Let's apply this formula to 38.4 degrees Celsius and check if it is approximately equal to 101 degrees Fahrenheit.
°F = (9/5) × 38.4 + 32
°F = 101.12 + 32
°F = 133.12
Therefore, 38.4 degrees Celsius is approximately 133.12 degrees Fahrenheit, not 101. The given statement is false as the calculated Fahrenheit value is significantly different from the claimed approximation of 101 degrees Fahrenheit.
This discrepancy highlights the importance of using accurate conversion formulas when dealing with temperature scales. The conversion between Celsius and Fahrenheit requires precision to ensure reliable results, especially when making assessments or comparisons in various contexts such as weather reports, scientific research, or daily temperature monitoring.
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