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Question

Sherman Murphy

02/23/2024 · High School

Convert 92 degrees Fahrenheit to degrees Celsius. If necessary, round your answer to the nearest tenth of a degree. Use one of the formulas given below:
\[F = \frac { 9} { 5} C + 32\]

\[C = \frac { 5} { 9}  ( F - 32) \]

Answer
expertExpert-Verified Answer

Mullins Boone
Qualified Tutor
5.0 (22votes)

33.3°C

Solution

Step 1: 
Use the formula: 

\(C = \frac { 5} { 9} ( F - 32) \)
 

Step 2:

Substitute \(F = 92\) into the formula: 
\[C = \frac { 5} { 9} ( 92 - 32) \]

 

Step 3:

Subtract 32 from 92: 
\[92 - 32 = 60\] 
 

Step 4:

Multiply 60 by \(\frac { 5} { 9} \)
\[C = 60 \times \frac { 5} { 9} = 33.\overline { 3} \] 
 

Step 5:

Round to the nearest tenth: 
\[C \approx 33.3\] 
 

Step 6:

Therefore, 92°F is approximately 33.3°C.

 

Supplemental Knowledge:

Converting temperatures between Fahrenheit and Celsius is a common task in many fields, including science, engineering, and daily life. The formula to convert Fahrenheit (F) to Celsius (C) is:

\[C = \frac { 5} { 9} ( F - 32) \]

This formula comes from the relationship between the two temperature scales: 
- The freezing point of water is 32°F or 0°C. 
- The boiling point of water is 212°F or 100°C.

By using these reference points, the conversion factor between the scales can be derived.

 

Everyday Examples:

Travel abroad and you need to understand the local climate? Understanding temperature conversion helps ensure you dress accordingly and plan activities appropriately, or cook using recipes with different temperature requirements than your oven, then knowing how to convert temperatures ensures perfect results!

Temperature conversions are essential in scientific experiments or engineering projects to achieving reliable outcomes and maintaining accurate conditions.


Need help with unit conversions for your daily tasks or scientific projects? UpStudy’s live tutor question bank offers detailed guidance on various unit conversions, including a Fractions calculator! With UpStudy’s expert resources and tools, mastering these essential skills becomes simple and intuitive. Explore our services today to enhance your learning experience!

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