Answer:
256.
Step-by-step explanation:
Each position can be one of 2 states so the number of possibilities
is 2^8 = 256.
1：13x-14
2:-6x+21
3: 20x-18
4:5x+15
5:14n+36
6:-12n+17
7:8n+32
8:k-11
9:-7k+37
10:-13k+34
11:2k+7
12:x+52
13:-2x+21
14:3x+21
15:12y-11
16:-26u+25
17:-42u+42
18:13u-7
Step-by-step explanation:
Answer:
r : s is √3 : 2
Step-by-step explanation:
The given parameter are;
A cube is inscribed in a sphere
The side length of the cube = s
The radius of the sphere = r
The ratio r : e = Required
It is noted that for a cube inscribed in a sphere, we have;
The diameter of the sphere = The diagonal of the cube
The diameter of the sphere, D = 2 × The radius = 2·r
The square of the diagonal of the cube, d² = s² + s² + s² = 3·s²
∴ The diagonal of the cube, d = (√3)·s
From the relationship between the cube and the sphere in which it is inscribed, (The diameter of the sphere = The diagonal of the cube), we have;
2·r = (√3)·s
∴ r/s = (√3)/2
r : s = √3 : 2.
Answer: The volume is equal to 1922.65.
Step-by-step explanation:
Diameter is 12 ft, height is 17 ft.
V = πr2h
V = πr2h = π·62·17≈ 1922.65
