We get all these to have the same denominators for all the fractions.
2*2/9*2 = 4/18
1*2/9*2 = 2/18
1*3/6*3 = 3/18
Now we can add all the numerators.
4/18 + 2/18 + 3/18 = 9/18
Simplify our answer by dividing both numbers by 3, then by 2.
9/3 and 18/3 = 3/6= 1/2
Our final answer is 1/2
Given:
A prism has a base area of
square units and a volume of
cubic units.
To find:
The volume of the cylinder if the cylinder has the same base area and height.
Solution:
Volume of a prism is:

Where, B is the base area and h is the height of the prism.
The volume of cylinder is:


Where, r is the radius, h is the height of the cylinder and
is the base area.
Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.
Hence the volume of the cylinder is
cubic units.
The answer should be (C):y=(-3/7)x+3 because:
if you use the slope formula: (Y2-Y1)/(X2-X1) it would look like this:
(0-3)/(7-0) and the slope of the line would be -3/7
then using the slope you just found, plug it into the y=mx+b equation along with one set of coordinates to find b (the y-intercept):
y=mx+b
0=(-3/7)(7)+b
b=3
SO, overall if you put the slope (m) and the y-intercept (b) that you found together, you get the line formula of y=(-3/7)+3
19^2 + x^2 = 21^2
19^2 = 361
21^2= 441
361 + x^2 = 441
x^2 = 441-361 = 80
x = sqrt(80) = 8.944 round to nearest tenth = 8.9