What is 36.8°C in °F rounded to the nearest tenth?
°F Celsius to Fahrenheit Formula: (C∘×1.8)+32=F∘
Fahrenheit to Celsius Formula: (F∘−32)1.8=C∘
Which is the higher temperature?
a 72.4°C
or
b 161°F
Celsius to Fahrenheit Formula: (C∘×1.8)+32=F∘
Fahrenheit to Celsius Formula: (F∘−32)1.8=C∘
The Correct Answer and Explanation is :
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Temperature Conversion Calculations
- Convert 36.8°C to Fahrenheit:
The formula to convert Celsius to Fahrenheit is:
[
F = (C \times 1.8) + 32
]
Plugging in 36.8 for (C):
[
F = (36.8 \times 1.8) + 32 = 66.24 + 32 = 98.24°F
]
Rounding to the nearest tenth, we get 98.2°F. - Comparing 72.4°C and 161°F:
We need to convert 72.4°C to Fahrenheit to compare:
[
F = (72.4 \times 1.8) + 32
]
Calculating:
[
F = (72.4 \times 1.8) + 32 = 130.32 + 32 = 162.32°F
]
So, 72.4°C is approximately 162.3°F when rounded. - Comparison:
Now we have:
- (72.4°C = 162.3°F)
- (161°F) Conclusion: Since 162.3°F is greater than 161°F, 72.4°C is the higher temperature.
Summary
- 36.8°C converts to 98.2°F.
- 72.4°C (approximately 162.3°F) is greater than 161°F.
Understanding temperature conversions is essential, especially in fields like healthcare, where precise readings can be critical for patient care. These conversions help professionals communicate effectively, especially when dealing with patients from different regions using different measurement systems.