Answer:
745.31
Step-by-step explanation:
1. 12.5^2 * 2 = 312.5
2. (3,14 * 156,25)/2 = 245.31
3. (30 * 12.5)/2 = 187.5
4. 187.5 + 245.31 + 312.5 = 745.31
Answer:
x=2; y=1
Step-by-step explanation:
Since the triangle is equilateral, which means three sides have the same length.
So we have:4x-y=2x+3y=7

Since 2x+3y=7 and plug in x=2y
we have

and since y=1
x=2
V = (4/3)π.R³
Diameter - 24 units so Radius = 24/2 = 12 Inits
V= (4π/3).12³ =(4π/3). 1728
V=1728 x 4/3 x π = 2,304.π units³
u - v = <5, 2> - <2, - 3> = <5 - 2, 2 + 3> = <3, 5>
given a vector <u, v> then the magnitude is √ (u² + v² ) and it's angle of direction is
θ =
(
)
thus the magnitude of <3, 5> = √(3² + 5²) = √34 ≈ 5.83 ( to 2 dec. places )
Θ =
(
) = 59.04° ( to 2 dec. places )
Answer:
Step-by-step explanation:
volume of sphere = 4πr³/3 = 972π in³
r³ = 729 in³
r = 9 in