Answer : The difference between the temperature is, [tex]81^oF[/tex]
Explanation :
The conversion used for the temperature from degree centigrade to Fahrenheit is:
[tex]^oF=(^oC\times \frac{9}{5})+32[/tex]
where,
[tex]^oF[/tex] = temperature in Fahrenheit
[tex]^oC[/tex] = temperature in centigrade
First we have to convert the temperature from degree centigrade into Fahrenheit.
Conversion of [tex]45^oC[/tex] into [tex]^oF[/tex]
[tex]^oF=(45^oC\times \frac{9}{5})+32[/tex]
[tex]^oF=113[/tex]
Conversion of [tex]90^oC[/tex] into [tex]^oF[/tex]
[tex]^oF=(90^oC\times \frac{9}{5})+32[/tex]
[tex]^oF=194[/tex]
Now we have to determine the difference between the temperature.
[tex]\text{Difference between the temperature}=194^oF-113^oF=81^oF[/tex]
Therefore, the difference between the temperature is, [tex]81^oF[/tex]
