Radius = diameter/2 = 8/2 = 4m
Area of a circle = pi x r^2 = pi x 4^2 = 16pi m^2 ( exact area) or 50.27 m^2
Circumference = pi x diameter = 8pi m ( exact) or 25.12 m
Answer:
Step-by-step explanation:
99x - 44y = -605
-99x + 63y = 738
19y = 133
y = 7
-9x + 28 = 55
-9x = 27
x = -3
(-3, 7)
Answer:
102,000
Step-by-step explanation:
9514 1404 393
Answer:
65.6%
Step-by-step explanation:
The question is essentially asking the ratio of the volumes.
Va = πr²h = π(15²)(20)
Vb = πr²h = π(19²)(19)
The ratio of volumes is ...
Va/Vb = π(15²)(20)/(π(19³)) = (15²)(20)/19³ ≈ 0.65607
Container B will be about 65.6% full when container A is empty.
Answer:
The velocity of the car after the collision is -5.36 m/s
Step-by-step explanation:
An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same.
let the following:
m₁ = mass of the car = 1400 kg
m₂ = mass of the truck = 3200 kg
u₁ = velocity of the car before collision = 13.7 m/s
u₂ = velocity of the truck before collision = 0 m/s
v₁ = velocity of the car after collision
v₂ = velocity of the truck after collision
v₁ = [ u₁ * (m₁ - m₂) + u₂ * 2m₂ ]/ (m₁ + m₂)
= [ 13.7 * (1400 - 3200) + 0 * 2 * 3200 ]/ (1400 + 3200)
= - 5.36 m/s
So, <u>the velocity of the car after the collision is -5.36 m/s</u>
