Answer:
V = 500 pi in^3
or approximately 1570 in ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
The diameter is 10. so the radius is d/2 = 10/2 =5
V = pi (5)^2 * 20
V = pi *25*20
V = 500 pi in^3
We can approximate pi by 3.14
V = 3.14 * 500
V = 1570 in ^3
Answer:
2x^3−7x^2+16x−15
Step-by-step explanation:
(2x−3)(x^2−2x+5)
=(2x+−3)(x^2+−2x+5)
=(2x)(x^2)+(2x)(−2x)+(2x)(5)+(−3)(x^2)+(−3)(−2x)+(−3)(5)
=2x^3−4x^2+10x−3x^2+6x−15
=2x3−7x2+16x−15
2) The area is 1.1 m^2 because to find the area the formula is width*length. SO you would separate it. It would be 0.9 * 1 = 0.9 and 0.4 * 0.5 = 0.2. Then you add it together. So it would be 1.1 m^2. The perimeter is all the sides added together so 4.2 m, but it says mm so you have to convert it and you get 4200.
4) Area is 1.16 cm^2. Again you would seperate it. So, 1 * 1 = 1 and .2 * .8 = .16. Then you add it together and get 1.16 cm^2. The perimeter is all the sides added up. You get 4.2 cm.
Answer:
(x-8)(x+3)
Step-by-step explanation:
1) Find out what are the factors of the constant?
2) Which of those add to equal the coefficient before the x value?
In this particular equation, we have the constant being 24. The first two factors that come to mind are 6 and 4, and 8 and 3. Since it is -24, we need one of these numbers to be negative.
Let's look at our "b" value, or the coefficient behind the x value, 5. Looking at our factors and thinking of addition (since one of them must be negative, it will most likely be subtraction instead of addition) I can see that
8+ −3=5
which is one of the factors of -24.
This means that we can factor our equation using these numbers, getting us the following:
(x−3)(x+8)
Hope this helped!
