Answer:
25/3 ft/s
Step-by-step explanation:
Height of pole , h=15 ft
Height of man, h'=6 ft
Let BD=x
BE=y
DE=BE-BD=y-x
All right triangles are similar
When two triangles are similar then the ratio of their corresponding sides are equal.
Therefore,







Differentiate w.r.t t

We have dx/dt=5ft/s
Using the value

Hence, the tip of his shadow moving with a speed 25/3 ft/s when he is 45 feet from the pole.
Answer:
O No
Explanation:
Given equation: y = 13x + 12
To check if (2, 8) is a solution of the given equation.
Substitute x and y value in equation and check if it is true.

(x, y) = (2, 8)

simplify

This following statement is false and hence (2, 8) is not a solution.
Answer:
E.
simple random sample
Step-by-step explanation:
Simple random sample: Every member and set of members has an equal chance of being included in the sample. Random samples are usually fairly representative since they don't favor certain members.
Basically, we need to solve for x. That means that we will need to bring all the terms containing x over to one side and, in short, isolate x. To do this, we should first add 15 to both sides. Doing so gives us

. Next, we subtract 6/5x from both sides, resulting in

. Now, we multiply the reciprocal of -3/5 to 27. Doing so gives us x = -45. Therefore, the answer to your query is
x = -45. Hope this helps and have a nice day!
None of the answers are correct in this question