Answer:
7 inches
Step-by-step explanation:
The volume of a cylinder is calculated using
![V = \pi {r}^{2}h](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%7Br%7D%5E%7B2%7Dh)
where r =4 inches is the radius and V=351.68 is the volume.
To find the height of the jar, we substitute these values and solve for h.
![351.68 = 3.14 \times {4}^{2} \times h](https://tex.z-dn.net/?f=351.68%20%3D%203.14%20%5Ctimes%20%20%7B4%7D%5E%7B2%7D%20%20%5Ctimes%20h)
![351.68 = 50.24h](https://tex.z-dn.net/?f=351.68%20%3D%2050.24h)
Divide both sides by 50.24 to get:
![h = \frac{351.68}{50.24}](https://tex.z-dn.net/?f=h%20%3D%20%20%5Cfrac%7B351.68%7D%7B50.24%7D%20)
h=7 inches
Therefore the height of the jar is 7 inches
Answer:
-4 degrees Celsius
Step-by-step explanation:
start at 8
subtract 12 from 8
8-12=-4
substitution and elimination means that you need to use one equation and substitute it in place of some variable in the other equation.
Consider the above two equations.
Take equation 1, which is 4x-2y=22 => x=(22+2y)/4
substitute the x value gained above in equation 2.
so, 2((22+2y)/4)+4y=6
22+2y+8y=12 => 10y = -10 => y= -1.
Substitute y= -1 in x value obtained in the beginning.
So, x= (22 - 2)/4 => 5.
There fore, x= 5 and y= -1
Hope it helps.
Answer:
x = 3
Step-by-step explanation:
If T is the midpoint, that means segments ST and TU are congruent.
Step 1: Set up expression
8x + 11 = 12x - 1
Step 2: Solve
11 = 4x - 1
12 = 4x
x = 3
1 2/3 is 5/3 as in improper fraction