3(5j+4)
15j+12
final answer 15j+12
0o----------------------------o5
Step-by-step explanation:
Answer:
4 pitches
Step-by-step explanation:
if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers can a cylinder with height 9 inches and radius 2r fill? explain how you know.
Solution:
The volume of a cylinder is given by:
V = πr²h;
where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.
A cylinder with height 9 inches and radius r can fill a certain pitcher. Therefore the volume of the cylinder is:
V = πr²h = πr²(9) = 9πr²
V = volume of pitcher = volume of cylinder with radius r = 9πr²
For a cylinder with height 9 inches and radius 2r its volume is:
V2 = πr²h = π(2r)²(9) = 36πr²
Therefore, the number of pitchers a cylinder with height 9 inches and radius 2r can fill is:
number of pitches = 36πr² / 9πr² = 4
Therefore a cylinder with height 9 inches and radius 2r can fill 4 pitches.
Answer:
14.93
Step-by-step explanation:
For this problem you need to know distance formula, which is
d=√(x2-x1)²+(y2-y1)². You'll want to plug in (0,3) and (-2, 9) and go on to plug in all of them at some point. You'll get 6.32 as the distance between (0,3) and (-2, 9), 3.61 as the distance between (-2, 9) and (-4, 6), and 5 as the distance between (-4, 6) and (0, 3). You add them up and get your answer.
Answer:
2(n-6)=12
(I went too far in my explanation; I'm not going to erase it because I think it is important to have an example on solving these)
Step-by-step explanation:
Twice the difference of a number and 6 is the same as 12.
Twice means 2 times
Difference means the result of subtracting something.
is the same as means equal to (=).
So we are given 2(n-6)=12.
You can start by dividing 2 on both sides are distributing 2 to terms in the ( ).
I will do it both ways and you can pick your favorite.
2(n-6)=12
Divide both sides by 2.
n-6 =6
Add 6 on both sides
n =12
OR!
2(n-6)=12
Distribute 2 to both terms in the ( )
2n-12=12
Add 12 on both sides
2n =24
Divide both sides by 2
n =12
