NO LINKS!!! HELP me with this problem.

Question

asked May 10, 2023 62.8k views

1 Answer

Sposnjak · Answer 1 · 2023-05-14T23:37:29+0000

Answer:

B) Least 10 hours, greatest 14 hours

Explanation:

The range of sin(x) is -1 ≤ sin(x) ≤ 1

Therefore, the range of
$\sin((\pi )/(6)t)$ is
$-1\leq \sin((\pi )/(6)t)\leq 1$

Therefore, the range of
$2 \sin((\pi )/(6)t)$ is
$-2\leq 2 \sin((\pi )/(6)t)\leq 2$

This means the range of
$2 \sin((\pi )/(6)t)+12$ is
$10\leq 2 \sin((\pi )/(6)t)+12\leq 14$