Answer:
so length of the fence is 250 feet
Explanation:
Given data
fencing (L) = 500 feet
enclose the garden = 3 sides
to find out
length of the fence
solution
we consider barn length x and width y
so we say x +2y = 500 ........1
we want to maximize length i.e xy = f
so we say
df/dx = ƛ × dL/dx
y = ƛ × 1
and
df/dy = ƛ × df/dy
x = ƛ × 2
from equation 1 we can say
2 ƛ + 2 ƛ = 500
so ƛ = 500/4 = 125
so that x = 2× 125 , y = 125
so x = 250 , y = 125
so length of the fence is 250 feet
The "D) People perceive objects as a whole" statement best describes an abductive reasoning. The abductive reasoning often has incomplete information as the base of its reasoning and the conclusion for this type of reasoning is not absolute. There will always be additional pieces of evidence and factors that could change the conclusion of this reasoning. Therefore<span> D statement is the most suitable answer.</span>
Answer:
p = mv
Explanation:
- The momentum of a body is defined as the product of its mass and velocity. Its physical symbol is 'p'.
- The formula for momentum is given by
p = mv
Where,
m - the mass of the body in kg
v - velocity of the body in m/s
- Therefore, the unit of momentum is expressed as the kg m/s
- The momentum of a body is always associated with its motion. It is a vector quantity and it is directed in the direction of the velocity vector.
- If a body is at rest, the momentum associated with the body is zero.
- The momentum plays a significant role in the kinematics of the body. As similar to the energy conservation law, the total momentum of the body is conserved.
Answer:
y = 2.196 m
Explanation:
Mass, m = 76 kg
distance from axis of rotation, x = 0.38 m
Second Force, F = 129 N
moment arm of the second force, y = ?
Now, equating moments for the equilibrium
So,
m g × x = F x y
76 x 0.38 x 9.81 = 129 x y
y = 2.196 m
Hence, the length of the moment arm is equal to 2.196 m.