(7x+2)(20-3x/4) = 140x + 40 - 21x²/4 - 3x/2 = -21/4 x² + 138 1/2 x + 40
this is one of those multiplications that doesn't make the result look any simpler...
Its a sequence of squares ..... sixthe term = 6^2 (36)
I believe 43 is the answer
(6,5)---------------(1,2)-------------------(x2,y2)
6+x2/2=1
5+y2/2=2
6+x2=2
x2=-4
y2=4-5
y2=-1
(-4,-1)
answer is C
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
