Respuesta :

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]