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The correct answer to this question is C -- the temperature is expressed as 40 degrees F.
The formula for converting from Celsisus to Fahrenheit is
Tf = 1.8*Tc+32 where Tf is the temperature in Fahrenheit and Tc is the temperature in Celsius.
You'll often see this expressed as (9/5)*Tc+32, but that's the same thing because 9/5 = 1.8
When you multiply -40 by 1.8 you get -72. Then you have to add 32 to that. That gives you -40.
So in this case, the temperatures are the same in Fahrenheit and Celsius.
In centigrade system of measuring temperature (C), melting of ice/water is taken as 0 C, and 1/100 division of difference in temperature of melting of ice and boiling of water is taken as 1 degree. In Fahrenheit system of measuring temperature (C), melting of ice/water is taken as 32 C, and 1/180 division of difference in temperature of melting of ice and boiling of water is taken as 1 degree.This means magnitude of each degree F is equal to 9/5 times degrees C.
Thus we can convert any temperature in Fahrenheit in to centigrade using the following formula:
F = C*9/5 + 32
Therefore when C = -40, F is given by:
F = -40*9/5 + 32 = -72 + 32 = - 40
- 40 C = - 40 F
None of the multiple choices given correspond to this answer.
Perhaps, by mistake, the value given in choice C) is 40 degrees F instead of -40 degrees F.
The Fahtenhiet scale begins with the temperature of 32, the ice melting point and ends with 212 , the water boiling point.The Centigrade scale starts with 0 degree as ice melting point and ends with 100 dgree as water boiling point. So the conversion from -40 deg C to F is as follows:
(F-32)/(212-32) = (C-0)/(100-0) or,
(F-32)/180 = C/100.
F = (180/100)C +32. Put C = -40
F = (180/100)(-40)+32 = -40 degree in F.
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