Answer :
Answer:
[tex]C = 5[/tex]
Step-by-step explanation:
Given
[tex]F = \frac{9}{5}C + 32[/tex]
Required
Find C when [tex]F = 41[/tex]
We have:
[tex]F = \frac{9}{5}C + 32[/tex]
Substitute 41 for F
[tex]41 = \frac{9}{5}C + 32[/tex]
Collect like terms
[tex]\frac{9}{5}C = 41- 32[/tex]
[tex]\frac{9}{5}C = 9[/tex]
Multiply both sides by 5/9
[tex]C = 9 * \frac{5}{9}[/tex]
[tex]C = 5[/tex]
Final answer:
To convert 41°F to Celsius, subtract 32 from the Fahrenheit temperature and then multiply by 5/9. The Celsius temperature is 5°C.
Explanation:
To find the Celsius temperature when the Fahrenheit temperature is 41 degrees, we use the formula for converting Fahrenheit to Celsius. The formula is °C = (5/9) × (°F - 32). Substituting 41 for °F, the formula becomes:
°C = (5/9) × (41 - 32)
°C = (5/9) × 9
°C = 5
Therefore, the temperature in Celsius is 5°C when the temperature in Fahrenheit is 41°F. When rounded to the nearest whole number, the Celsius temperature is 5°C.