28................................................
Answer:
268.0 in²
Step-by-step explanation:
refer to attached graphic as reference
volume of cone, V = (1/3) πr²h
in our case, we are given r = 4" and h = 16"
substituting this into equation:
V = (1/3) πr²h
= (1/3) ·(3.14) · (4)²· (16)
= 267.94667 in²
= 268.0 in² (nearest tenth)
Answer:
9,962
Step-by-step explanation:
3,489+8,617+1,240=13,346
564*6=3,384
13,346-3,384=9,962
Answer:
y = 2x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (5, 6) into the partial equation
6 = 10 + c ⇒ c = 6 - 10 = - 4
y = 2x - 4 ← equation of line
The formula of combination is
![nCr= \frac{n!}{(n-r)!r!}](https://tex.z-dn.net/?f=nCr%3D%20%5Cfrac%7Bn%21%7D%7B%28n-r%29%21r%21%7D%20)
We have
![n=14](https://tex.z-dn.net/?f=n%3D14)
and
![r=10](https://tex.z-dn.net/?f=r%3D10)
![14C10= \frac{14!}{(14-10)!10!} = 1001](https://tex.z-dn.net/?f=14C10%3D%20%5Cfrac%7B14%21%7D%7B%2814-10%29%2110%21%7D%20%3D%201001)
Hence, there are 1001 ways of arranging 10 records from 14 records