Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a starship is orbiting milgram, a large moon of the planet erdosar. the…

Question

a starship is orbiting milgram, a large moon of the planet erdosar. the ships sensor array detects that the temperature on the surface of the moon is 63.9 °f. what is this temperature in degrees celsius (°c)? use the given formulas as necessary, and round your answer to the nearest tenth of a degree. formulas: $c=\frac{5}{9}(f - 32)$ $f=\frac{9}{5}c + 32$

Explanation:

Step1: Identify the formula

We use the formula $C=\frac{5}{9}(F - 32)$, where $F = 63.9$.

Step2: Substitute the value of F

$C=\frac{5}{9}(63.9 - 32)$
First, calculate the value inside the parentheses: $63.9-32 = 31.9$.
So, $C=\frac{5}{9}\times31.9$.

Step3: Calculate C

$C=\frac{5\times31.9}{9}=\frac{159.5}{9}\approx17.7$

Answer:

$17.7$