Question

convert 62°F to degree Celsius if necessary round to the nearest 10th of a degree formulas:C= 5/9 (F-32)F= 9/5 C +32

Answer 1

Given the formulas below

`\begin{gathered} C=(5)/(9)(F-32) \\ F=(9)/(5)C+32 \end{gathered}`

We are to convert 62°F to Celcius using any of the formulas above.

I will going with the first formula

`\begin{gathered} C=(5)/(9)(F-32) \\ \text{Where,} \\ F=62^0F \end{gathered}`

Therefore,

`\begin{gathered} C=(5)/(9)(62-32) \\ C=(5)/(9)(30) \end{gathered}`

Simplify

`\begin{gathered} C=(5)/(9)(30)=(150)/(9)=16.6666667\approx16.7^0(nearest\text{ tenth)} \\ \therefore C=16.7^0 \end{gathered}`

Hence, the answer is

`16^{}.7^0C`