Answer: Please see below the explanation.
Step-by-step explanation:
The Celsius (ºC) and Farenheit (ºF), are different temperature scales, but both have identifiable values for two important physical phenomena, water freezing point and water boiling point.
For º C, these are follows:
Freezing Point= 0º C Boiling Point: 100ºC
For º F, we have the following:
Freezing Point= 32º F Boiling Point: 212 ºF
Assuming that all steps (in each scale) between two following values are equal, we have 100 º C between both points in ºC, and 190º in ºF, so degrees in Farenheit are "shorter" than in Celsius, being the relationship, approximately the following:
1 º C = 9/5 ºF.
Taking into account that, by definition, 0ºC = 32º F, we can use the following equations in order to convert ºC to ºF, and viceversa:
ºC = (ºF-32) 5/9
ºF = 32 + 9/5ºC
Now, let's calculate -40ºF, in ºC:
ºC= (-40-32)* 5/9 = -40º C
Let's do the same, converting -40ºC to ºF:
ºF = 32 + (-40)*9/5 = 32 + (-72) = -40ºF.