Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
Answer:
30/(2x^2-x)
Step-by-step explanation:
5/(2x-1) * 6/x
Multiply the numerators
5*6 = 30
Multiply the denominatos
(2x-1) *x = 2x^2 -x
5/(2x-1) * 6/x = 30/x(2x-1) = 30/(2x^2-x)
Answer:
y=3x-13
Step-by-step explanation:
First, write your equation: y=3x+b. Plug in your ordered pair to the equation, it should look like this: 2=3(5)+b. 3 times 5 equals 15. This is what your equation should look like: 2=15+b. Subtract 15 from both sides to get -13 as your y-intercept. Go back to your original equation and plug in -13 to b. This is your final equation: y=3x-13. Hope this helped!
Answer:
<h2>x = 21</h2>
Step-by-step explanation:
3x + 1 + 5x = 7 + 15 + 7x <em>combine like terms</em>
(3x + 5x) + 1 = (7 + 15) + 7x
8x + 1 = 22 + 7x <em>subtract 1 from both sides</em>
8x = 21 + 7x <em>subtract 7x from both sides</em>
x = 21
