Answer:
See below.
Step-by-step explanation:
1)
So we have the limit:

This is equivalent to:

To solve, we can use the following property:

Therefore, our limit is the same as:

We are already given that the limit as x approaches 4 of g(x) is -2. Therefore:

You simply need to evaluate this to solve the limit. I don't have enough information to solve this, so maybe you have something more.
Similarly, for the second one:
2)
We have:

Using the same property:

And we are told that this is 16, so:

And we just need to evaluate this to find the limit.
I hope you find this helpful!
You can put 400/100 to get the fraction 4/1 or 4, it is not a mixed number though. So the final answer is 4
Answer:
314.16
Step-by-step explanation:
Area=πr2
d=2r
Solving for Area
A=1
4πd2=1
4·π·202≈314.15927
To solve the question we shall use the formula for the range given by:
Horizontal range, R=[v²sin 2θ]/g
plugging in our values we get:
500=[160²×sin 2θ]/10
5000=160²×sin 2θ
0.1953=sin 2θ
thus:
arcsin 0.1953=2θ
11.263=2θ
hence:
θ=5.6315°~5.63