Comverting between temperatures in Futrenheit and Celsius A starship is orbiting Milgram, a large moon of the planet Sylow II. The ship's sensor array detects that the temperature on the surface of the moon is $-4.5{ }^{\circ} \mathrm{F}$. What is this temperature in degrees celsius $\left({ }^{\circ} \mathrm{C}\right)$ ? Formulas: Use the given formulas as necessary, and round your answer to the nearest tenth of a degree. \[ \begin{array}{l} C=\frac{5}{9}(F-32) \\ F=\frac{9}{5} C+32 \end{array} \] ${ }^{\circ} \mathrm{C}$

Step 1 ：Given that the temperature on the surface of the moon is -4.5°F, we can use the formula to convert this temperature to degrees Celsius.

Step 2 ：The formula to convert Fahrenheit to Celsius is: \(C = \frac{5}{9} * (F - 32)\)

Step 3 ：Substituting \(F = -4.5\) into the formula, we get: \(C = \frac{5}{9} * (-4.5 - 32)\)

Step 4 ：First, calculate the value inside the parentheses: \(-4.5 - 32 = -36.5\)

Step 5 ：Then, multiply this result by \(\frac{5}{9}\): \(C = \frac{5}{9} * -36.5 = -20.27777777777778\)

Step 6 ：Rounding this to the nearest tenth of a degree, we get: \(C = -20.3°C\)

Step 7 ：So, the temperature on the surface of the moon in degrees Celsius is \(\boxed{-20.3°C}\)