Let us suppose it will take t hours for the temperature to drop at least 36°F.
We have been given that temperature in Antarctica will decrease 8°F each hour for the next 6 hours.
And we have to find the time to drop the temperature to at least 36°F. At least means greater than equal to.
Therefore, we have the below inequality

Now, we solve the inequality.
Divide both sides by 8, we get

Hence, it will take atleast 4.5 hours to drop the temperature to 36°F.
Replace y with 0 and solve for x.
x= -1.52138
Final Answer: 
Steps/Reasons/Explanation:
Question: Solve
.
<u>Step 1</u>: Simplify
to
.

<u>Step 2</u>: Regroup terms.

<u>Step 3</u>: Add
to both sides.

<u>Step 4</u>: Simplify
to
.

<u>Step 5</u>: Multiply both sides by
.
× 
<u>Step 6</u>: Simplify
×
to
.

<u>Step 7</u>: Divide both sides by
.

<u>Step 8</u>: Simplify
to
.

<u>Step 9</u>: Switch sides.

~I hope I helped you :)~
Answer:
sin a = 0.689
Step-by-step explanation:
explanation is in the image above