Answer:

Step-by-step explanation:
We are given that,
The fall of the acorn is represented by the function,

Equating S(t) to 0 gives,

i.e. 
i.e. 
i.e. 
Since, time cannot be negative.
So,
i.e. 1.25 seconds is the time when the acorn will reach the ground.
Thus, from the figure below, we see that,
The interval in which the acorn is in the moving air is
.
Answer:
ascending order:
angle KLM
angle KML
angle LKM
Step-by-step explanation:
angle opposite to the largest side is the largest angle:
largest angle = angle LKM
angle opposite to the smallestest side is the smallest angle:
smallest angle = angle KLM
I think this would be 4≥X<span>>-8
</span>
Answer is 187.06 and the work is in the attached picture.
The two tangent lines for each circle are the same length. Set the equations to equal and solve for x.
1. 4x + 3 = 3x +12
Subtract 3x from each side:
x +3 = 12
Subtract 3 from both sides:
x = 9
2. -2 + x = 2x -7
Subtract 2x from both sides:
-2 - x = -7
Add 2 to each side:
-x = -5
Multiply both sides by -1:
x = 5