Answer:
180 degrees
Step-by-step explanation:
Answer:
The tip of the man shadow moves at the rate of 
Step-by-step explanation:
Let's draw a figure that describes the given situation.
Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.
Here it forms two similar triangles.
Let's find the distance "y" using proportion.
From the figure, we can form a proportion.

Cross multiplying, we get
15(y -x) = 6y
15y - 15x = 6y
15y - 6y = 15x
9y = 15x
y = 
We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).
----(1)
We are given
. Plug in the equation (1), we get

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.
Answer:
d.a cluster sampling
Step-by-step explanation:
This plan exemplifies Cluster sampling. It is a sampling method where populations are placed into different separate groups like here into freshman, sophomore, junior, and senior classes. A random sample of these groups is then selected as here thirty students selected from each group to represent a specific population.<u> It is usually used in that type of research when there is no possible way to find information about a population as a whole.</u>
You can solve this by finding all of the factors of 28 and seeing which ones add up to 22 when doubled.
The factors of 28 are as follows:
28 x 1 28(2) + 1(2) = 56 + 2 = 58 ≠ 22
14 x 2 14(2) + 2(2) = 28 + 4 = 32 ≠ 22
7 x 4 7(2) + 4(2) = 14 + 8 = 22
The dimensions of the rectangle are 4 x 7.