The Volume is 4.5ft.
Hope this helps!!
Remark
There is a very quick way to do this. Scan the numbers. You want 75 to be the mean, so make it so. Then figure out how many up or down you go from 75. I'll make a list of the givens.
72 - 3 72 is three down from 75 so call it - 3
75 0 That is your desired average so it adds nothing to the score.
74 -1 It is one down from 75, so call it -1
76 +1 It is one up from 75
76 +1 it is one up from 75
75 adds 0.
-3 - 1 + 1 + 1 = - 2
That comes - 2/7 which means that you need a score just under 75. So 75 will give you the right average of 75
Answer B <<<<<
Answer:
9. x = 5
10. AD = 7
Step-by-step explanation:
As shown in the diagram, BD is a perpendicular bisector. And D is a point on the perpendicular bisector, meaning it is equidistant from the endpoints on the segment(points A and C). Because of this, we can say AD = CD.
We can substitute to get:
2x - 3 = x + 2
And simplify and solve:
x - 3 = 2
x = 5
AD is just 2x - 3, so we can substitute in x to find AD:
AD = 2(5) -3
AD = 10 - 3
AD = 7
The two enclosures will need three equal fences coming out from the wall and meeting another fence running parallel to the wall. If the fences coming out from the wall are x metres long the parallel fence will be (132 - 3x) metres long.
The area A = x(132 - 3x) = 132x - 3x^2
The derivative of A = zero when 132 - 6x = 0 which means the maximum area is when x = 22m
The maximum area = 22 x (132 - 3 x 22) = 1452 m^2
If you don’t know how to find derivatives then you could sketch the graph of y = x(132 - 3x).
This is an inverted parabola (hill) with x intercepts at 0 and 132/3 = 44.
The maximum point (top of the hill) is halfway between 0 and 44 I.e. 22m
Try any other value for x and the area will be smaller.
