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Convert the following temperatures from Fahrenheit to Celsius or vice versa.F-32C=F = 1.8C + 321.8a. 40°Fb. 35°CC. - 30°Ca. 40°F-°c(Type an integer or decimal rounded to one decimal place as needed.)b. 35°C =°F(Type an integer or decimal rounded to one decimal place as needed.)C. -30°C = °F(Type an integer or decimal rounded to one decimal place as needed.)

Convert the following temperatures from Fahrenheit to Celsius or vice versaF32CF 18C 3218a 40Fb 35CC 30Ca 40FcType an integer or decimal rounded to one decimal class=

Respuesta :

As given by the question

There are given that the equation of Fahrenheit and Celsius:

[tex]\begin{gathered} C=\frac{F-32}{1.8} \\ F=1.8C+32 \end{gathered}[/tex]

Now,

(a). Put 4o degrees F into the equation of Fahrenh:

[tex]\begin{gathered} F=1.8C+32 \\ 40=1.8C+32 \\ 1.8C=40-32 \\ 1.8C=8 \\ C=\frac{8}{1.8} \\ C=4.44 \end{gathered}[/tex]

Hence, the value of the first option is shown below:

[tex]4.44^{\circ}C[/tex]

(b). Put 35 degrees Celsius into the equation of Fahrenheit:

[tex]\begin{gathered} F=1.8C+32 \\ F=1.8(35)+32 \\ F=63+32 \\ F=95 \end{gathered}[/tex]

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