Answer:
height = 20 cm
Step-by-step explanation:
The volume (V) of a cylinder is calculated using the formula
V = πr²h ← r is the radius and h the height
given r = 12 and V = 2880π, then
π × 12²h = 2880π
144πh = 2880π ( divide both sides by 144π )
h = 
= 20
Answer:
40197 these many 5s make up 200985 so 4 are left to make 200989
Step-by-step explanation:
Answer: 322
Step-by-step explanation:
23 students × 14 homework
=322 problems
The teacher will have to grade 322 problems
Given:
The two functions are:
To find:
The value of 
.
Solution:
We have,
We know that,
![(h\circ g)(b)=[(5b-9)-1]^2](https://tex.z-dn.net/?f=%28h%5Ccirc%20g%29%28b%29%3D%5B%285b-9%29-1%5D%5E2)
![(h\circ g)(b)=[5b-10]^2](https://tex.z-dn.net/?f=%28h%5Ccirc%20g%29%28b%29%3D%5B5b-10%5D%5E2)
Putting 
, we get
![(h\circ g)(-6)=[5(-6)-10]^2](https://tex.z-dn.net/?f=%28h%5Ccirc%20g%29%28-6%29%3D%5B5%28-6%29-10%5D%5E2)
![(h\circ g)(-6)=[-39-10]^2](https://tex.z-dn.net/?f=%28h%5Ccirc%20g%29%28-6%29%3D%5B-39-10%5D%5E2)
![(h\circ g)(-6)=[-49]^2](https://tex.z-dn.net/?f=%28h%5Ccirc%20g%29%28-6%29%3D%5B-49%5D%5E2)
Therefore, the value of is 2401.
Answer:
-3
Step-by-step explanation:
1.5x + 1.3x = -8.4
2.8x = -8.4
x=-3
