UpStudy Free Solution:
To convert temperatures from Fahrenheit to Celsius, you can use the following formula:
\[C = \frac { 5} { 9} ( F - 32) \]
Where \(C\) is the temperature in degrees Celsius and \(F\) is the temperature in degrees Fahrenheit.
Let's convert each of the given temperatures:
a) 42°F to Celsius
\[C = \frac { 5} { 9} ( 42 - 32) \]
\[C = \frac { 5} { 9} \times 10\]
\[C = \frac { 50} { 9} \]
\[C \approx 5.56\]
b) 91°F to Celsius
\[C = \frac { 5} { 9} ( 91 - 32) \]
\[C = \frac { 5} { 9} \times 59\]
\[C \approx 32.78\]
c) 15°F to Celsius
\[C = \frac { 5} { 9} ( 15 - 32) \]
\[C = \frac { 5} { 9} \times ( - 17) \]
\[C \approx - 9.44\]
d) 7°F to Celsius
\[C = \frac { 5} { 9} ( 7 - 32) \]
\[C = \frac { 5} { 9} \times ( - 25) \]
\[C \approx - 13.89\]
So, the conversions are:
a) 42°F ≈ 5.56°C
b) 91°F ≈ 32.78°C
c) 15°F ≈ -9.44°C
d) 7°F ≈ -13.89°C
Supplemental Knowledge
Temperature conversion between Fahrenheit and Celsius is a common task in various scientific and everyday contexts. Understanding the relationship between these two temperature scales is essential for accurate conversions.
Key Concepts:
1. Fahrenheit to Celsius Conversion Formula:
- The formula to convert Fahrenheit (\(F\)) to Celsius (\(C\)) is:
\[C = \frac { 5} { 9} ( F - 32) \]
- This formula accounts for the different zero points and scaling factors of the two temperature scales.
2. Step-by-Step Conversion Process:
- Subtract 32 from the Fahrenheit temperature.
- Multiply the result by \(\frac { 5} { 9} \).
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