Length (L): 4w - 7
width (w): w
Perimeter (P) = 2L + 2w
136 = 2(4w -7) + 2(w)
136 = 8w - 14 + 2w
136 = 10w - 14
150 = 10w
15 = w
Length (L): 4w - 7 = 4(15) - 7 = 60 - 7 = 53
Answer: width=15 m, length=53 m
Step-by-step explanation: If f(x) = 4x + 10, then f(-2) is 4(-2) + 10
which simplifies to -8 + 10 or 2.
So f(-2) = 2.
To find volume of a cylinder, you must find the area of the base and multiply it by the height of the object.
V=Bh where B=area of the base. Since the base is a circle, we must find area of the circle. A=pi(r^2)
A=3.14(6^2) Since it gave us the diameter, we take half for radius. Solve A=3.14(36)
A= 113.04 square cm
Now to find volume.
V=113.04•11
V=1243.44 cubic cm
Now find volume of the cone on top.
V=1/3Bh again with B= area of the base (pi)(r^2)
Since the two objects share a base, we can use the area of the cylinder as above.
V=1/3(113.04)9
We have to do a little simple math to determine the height of just the cone. Total height is 20-11 height of the cylinder. The difference is 9.
V=1/3(113.04)9 multiply
V=339.12 cubic cm
Now add the two volumes together to find total volume.
Total V=1243.44+339.12
V=1582.56 cubic cm
Explanation: The y axis is the line that goes up and down, vertical. The x axis is the line that goes straight across, horizontal. So, when looking for intercepts we have to see what numbers your graphed line goes through.
Make sure when you are writing your points you write it in (x,y) form. If you don't it will be wrong.
So, for our x intercept it would be -7,0.
This is because your graphed line goes through x at -7 and it has no y, so that would be 0.
For your y intercept, it would be 0,2
This is because our line does not go through x, so we make that 0. It does go through y at 2.
Hope this helps :)
If you need elaboration on anything let me know. I know sometimes with math it is kind of hard to explain through typing.
