a biologist is studying two cheetahs fitted with radio - tracking collars. one of th cheetahs is 4.5 miles away and one of the cheetahs is 3.2 miles away. to the nearest tenth of a mile, how far apart are the cheetahs from ea other? 2 of 12 questio 6.0 mi 5.0 mi 2.1 mi 2.2 mi

Question

Accepted Answer

# Explanation:
## Step1: Use the Law of Cosines
The Law of Cosines formula is $c^{2}=a^{2}+b^{2}-2ab\cos C$. Let $a = 3.2$, $b=4.5$, and $C = 80^{\circ}$.
## Step2: Substitute values into the formula
$$
\begin{align*}
c^{2}&=3.2^{2}+4.5^{2}-2\times3.2\times4.5\times\cos(80^{\circ})\
c^{2}&=10.24 + 20.25-28.8\times0.173648\
c^{2}&=30.49-5.0011\
c^{2}&=25.4889\
c&=\sqrt{25.4889}\
c&\approx5.0
\end{align*}
$$

# Answer:
5.0 mi

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QUESTION IMAGE

Question

Explanation:

Step1: Use the Law of Cosines

Step2: Substitute values into the formula

Answer: