Area of the triangle is 20x(x - 1) sq. in
Step-by-step explanation:
- Step 1: Find the area of the triangle.
Height = 10x in and Base = 4(x - 1) in
Area = 1/2 × base × height
⇒ Area = 1/2 × 4(x - 1) × 10x
= 20x(x - 1) sq. in
I want to say the answer is a or b mostly a though
The question is an illustration of related rates.
The rate of change between you and the ball is 0.01 rad per second
I added an attachment to illustrate the given parameters.
The representations on the attachment are:

---- the rate

First, we calculate the vertical distance (y) using tangent ratio

Substitute 100 for x


Differentiate both sides with respect to time (t)

Substitute values for the rates and 

This gives


Divide both sides by 2


Hence, the rate of change between you and the ball is 0.01 rad per second
Read more about related rates at:
brainly.com/question/16981791
Answer:
A. E={
and
is a multiple of 8}
Step-by-step explanation:
Let
represent the set of natural numbers. Then we can write;
.
The set of all natural numbers that are multiples of 8 is then written as;
and
is a multiple of 8.
E is the set of natural numbers that are multiples of 8 can then be written in set builder notation as;
E={
and
is a multiple of 8}
The correct choice is A