calculate the temperature which has the same numerical value on Celsius and Fahrenheit scale
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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 −40degrees
Step-by-step explanation:
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