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:
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Answer:
Let w be the width of the rectangle. The length would be 2w+3. The area of the rectangle would be w(2w+3)=189.
So 2w2+3w-189=0 Solving for w you get w=9 or -10.5. Ignoring negative value Width of the rectangle would be 9mm and length of the rectangle would be 21mm giving you the area 189 square mm.
Hope this helps:)
Answer:
Least to greatest would mean going from the smallest number to the biggest. So it would be d,c,b,a
Step-by-step explanation:
Answer:
4(x+8) OR 4x+32
Step-by-step explanation:
4x+(4*3.75)+(4*4.25)
There are four people, so there are four tickets, four drinks, and four pieces of candy, so everything must be multiplied by four. Next, you need to either factor or simplify the equation.
If you want to factor it, the answer would be 4(x+8)
If you want it simplified, it would be 4x+32