Question

с=08https://www-awu.aleks.com/alekscgi/x/Isl.exe/10_u-IgNslkr7j8P3jH-liJQhiJODya094wj2gIJSklb9ag PtGFIZ2D9RviQO MEASUREMENTConverting between temperatures in Fahrenheit and CelsiusEpitaxian is a cutting edge technology company based in Norway. The company has just finisheddeveloping a prototype of a product it is calling the X-13. According to the company'sdocumentation, the X-13 must be operated in a room that is kept at a temperature of 12.6 °C.What is this temperature in degrees Fahrenheit (°F)?Use the given formulas as necessary, and round your answer to the nearest tenth of a degree.Formulas:|C=-(F-32)9F ==C+32I need help with this math problem

Answer 1

$54.7^{\circ}\:F$

1) As we can see in this question, a formula has already been given. So, let's make use of it to convert the temperature from Celsius to Fahrenheit degrees:

$F=\frac{9}{5}C+32$

2) Note that we want to know Fahrenheit, so we'll use the second one from top to bottom and plug into that the temperature in Celsius:

$\begin{gathered} F=\frac{9}{5}(12.6)+32 \\ \\ F=\frac{9}{5}\cdot \:12.6+32 \\ \\ F=\frac{113.4}{5}+32 \\ \\ F=\frac{32\cdot\:5+113.4}{5} \\ \\ F=\frac{160+113.4}{5} \\ \\ F=\frac{273.4}{5} \\ \\ F=54.68\approx54.7 \\ \\ \end{gathered}$

Note that we had to round it off to the nearest tenth as requested.