Answer:
3.0 kg
Step-by-step explanation:
Momentum before collision = momentum after collision
m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂
(1.0 kg) (5.0 m/s) + m (-2.0 m/s) = (1.0 kg) (-4.0 m/s) + m (1.0 m/s)
5.0 kg m/s + m (-2.0 m/s) = -4.0 kg m/s + m (1.0 m/s)
9.0 kg m/s = m (3.0 m/s)
m = 3.0 kg
Given:
Hexagonal Prism dimensions:
Altitude = 6 ft
Regular base;
side = 9 ft
apothem = 7.8 ft
The formula for the lateral surface area of a prism is
LA = P * h
where
LA is the lateral surface area
P is the perimeter of the base
h is the height of the prism
LA = (9 ft * 6 sides) * 6 ft
LA = 324 ft^2
The formula for total surface area is
TA = (P * h) + 2(Ab)
where
TA is the total surface area
Ab = Area of the base
Ab = a * P / 2
Ab = 7.8 ft * (9ft * 6) / 2
Ab = 210.6 ft^2
TA = 324 + 2(210.6)
TA = 745.2 ft^2
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I don’t know how to do that
Estimate of discount: $4.50
total after discount: $18
hope this helps :)
edit: just saw the answer choices, the answer should be b.0.2