Is there a temperature which is numarically the same in both fahrenheit and celsius? If yes find it and also show us the way how u found it
Answers
Answer:
To find the temperature when both are equal, we use an old algebra trick and just set ºF = ºC and solve one of the equations. So the temperature when both the Celsius and Fahrenheit scales are the same is -40 degrees.
Step-by-step explanation:
The formulas for converting between degree Celsius and degree Fahrenheit are:
°F = (°C * 9/5) + 32
°C = (°F - 32) * 5/9
To find the temperature when both are equal, we use an old algebra trick and just set ºF = ºC and solve one of the equations.
°C = (°C * 9/5) + 32
°C - (°C * 9/5) = 32
-4/5 * °C = 32
°C = -32 * 5/4
°C = -40
°F = (°F * 9/5) + 32
°F - (°F * 9/5) = 32
-4/5 * °F = 32
°F = -32 * 5/4
°F = -40
So the temperature when both the Celsius and Fahrenheit scales are the same is -40 degrees.
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Hope it helps...
Formula for Fahrenheit, F = 9/5 C + 32
Formula for Centigrade, C =5/9 (F-32)
Let F = C or C= F
F= C= 5/9(F-32)= (5F-160)/9
9F= 5F - 160
9F - 5F = -160
4F = -160
F = -160/4
F= -40 degree answer in Fahrenheit
C= F= 9/5 C + 32
C = (9C + 160)/5
5C = 9C + 160
5C - 9C = 160
-4C= 160
C=160/-4
C= -40 degree answer in Centigrade
Conclusion: The temperature wherein degrees centigrade is the same in degrees Fahrenheit is -40 degrees .