The point estimate is the mid-point of the interval:

The margin of error is the difference between the endpoints of the interval and the mid-point.
Answer:
Correct option: B -> 36
Step-by-step explanation:
The surface area of a circular cone is given by the formula:
Surface area = pi * radius * (radius + slant height)
If the inicial radius is 4 in and the slant height is 9 in, we have:
Surface area = pi * 4 * (4 + 9) = 52pi in2
The radius and the slant height are multiplied by 6, so we have:
radius = 6 * 4 = 24 in
slant height = 6 * 9 = 54 in
So the new surface area is:
New surface area = pi * 24 * (24 + 54) = 1872pi in2
The factor of the surface areas is:
New surface area / Surface area = 1872pi / 52pi = 36
Correct option: B
9/6 or the simplified version is 1 1/2
I assume h is the hypotenuse on a triangle. We use trigonometric functions in order to find the value of h. Also, since side g is not specified whether it is adjacent or opposite angle f. We solve using every possible function and see from the choices the correct answer.
h = 27 sin 54 = 21.84
h = 27 cos 54 = 15.9
Therefore, most likely the correct answer is A.
Answer:
A
Step-by-step explanation:
We are given the function:

And we want to find:

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.
Left-Hand Limit:

Since we are approaching from the left, we will use the first equation:

By direct substitution:

Right-Hand Limit:

Since we are approaching from the right, we will use the second equation:

Direct substitution:

So, we can see that:

Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:

Our answer is A.