Answer:
Step-by-step explanation:
Distance=Speed×Time
75×4.8=360
Speed=distance÷time
360÷3=120km/h
Answer:
V = 486
, or approx. 1,526.814
Step-by-step explanation:
V =
*r²*(h/3)
plug in the numbers: V =
* (9)² * (18/3)
simplify: V =
* 81 * 6
simplify: V = 486
, or approx. 1,526.814
Answer:
second option
G(3 , -4) ; H(8 , 1)
Step-by-step explanation:
For the line GH to be a median, the point G must have the intermediate value at x and at y between points A and B, and the point H must have the intermediate value at x and at y between points A and B
G = (Ax + Bx)/2 , (Ay + By)/2
G = (3 + 3)/2 , (-9 + 1)/2
G = 6/2 , -8/2
G = (3 , -4)
H = (Cx + Bx)/2 , (Cy + By)/2
H = (13 + 3)/2 , (1 + 1)/2
H = 16/2 , 2/2
H = (8 , 1)
This is because for a medium to be the point p has to be right in the middle of the other 2 vertices
Answer:
Darn I had one of those a few weeks ago, I'm so sorry if I'm wrong but I think it's option 3? I'd wait for someone else to answer though just it case I'm wrong. God bless!
Answer:
The first three terms of the series are 8, 10 and 12. The number of terms is 12 to make the sum 228.
Step-by-step explanation:
The series is defined as

Put n=1.

Put n=2.

Put n=3.

The first three terms of the series are 8, 10 and 12.
It is an arithmetic series. The first terms is 8 and the common difference is

The sum of n terms of an arithmetic series is
![S_n=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
![288=\frac{n}{2}[2(8)+(n-1)2]](https://tex.z-dn.net/?f=288%3D%5Cfrac%7Bn%7D%7B2%7D%5B2%288%29%2B%28n-1%292%5D)
![288=\frac{2n}{2}[8+n-1]](https://tex.z-dn.net/?f=288%3D%5Cfrac%7B2n%7D%7B2%7D%5B8%2Bn-1%5D)
![288=n[n+7]](https://tex.z-dn.net/?f=288%3Dn%5Bn%2B7%5D)




Equate each factor equal to zero.

The number of terms can not be negative, therefore the value of n must be 12.