Answer:
1 / 24
Step-by-step explanation:
= > 3/8 - 2/6
=> {(3 x 3)/(8 x 3)} - {(2x4)/(6x4)}
=> 9/24 - 8/24
=> ( 9 - 8 ) / 24
= 1 / 24 ANS
Answer:
112
Step-by-step explanation:
Multiply 7 times 4 to get the amount of cars made in one week
7 x 4= 28
Then multiply that by how many weeks there are
4 x 28= 112
The radius of the cylinder's base is 8, so the volume of the cylinder is

(using the approximation of

).
The sphere has radius 6, so the volume of the sphere is

.
The volume of the shaded region is the difference between the two: 3617.28 - 904.32 = 2712.96. Rounded to the nearest integer gives an answer of 2713.
Answer:
Step-by-step explanation:
Since there exists a scalar
λ
λ
(namely
λ=a⋅b
λ=a⋅b
) such that
b=λa
b=λa
, the directions of the two vertices are the same (they are collinear). This implies that
|a⋅b|=|a||b|
|a⋅b|=|a||b|
.
So,
|a|=|(a⋅b)b|=|a||b||b|
|a|=|(a⋅b)b|=|a||b||b|
which implies that
|b|=1
|b|=1
Proper fraction: 26 1/5
improper fraction: 131/5