Answer:
The sum of the lengths of the sides is 2292 yards and the sum of the lengths of the triangle is 3056 yards
Explanation:
Since y represents the length of fence that is opposite (parallel) to the river and x represent the length of fence perpendicular to the river.
Therefore since we can use 3,056 yards of fencing
Side perpendicular to the river = x and,
Side opposite to the river = y = 3056 - 2x
The area of the rectangle formed (A) = Perpendicular side × Parallel side
∴ A = x(3056 - 2x) = 3056x - 2x²
A = 3056x - 2x²
To maximize the area, A' (dA/dx) = 0
∴ A' = 3056 - 4x = 0
3056 - 4x = 0
4x = 3056
x = 764 yards
y = 3056 - 2x = 3056 - 2(764) = 1528 yards.
Side perpendicular to the river = 764 yards and,
Side opposite to the river = 1528 yards
The sum of the lengths of the sides = 764 + 1528 = 2292 yard and the sum of the lengths of the triangle = 764 + 764 + 1528 = 3056 yards
Dominant genes and recessive genes are both given to a parents offspring. However, not both can be expressed causing the difference of dominant and recessive. Dominant genes are more likely to be expressed and recessive genes are more likely to be repressed.
Explanation:
It is given that,
Magnetic field, B = 0.1 T
Acceleration, 
Charge on electron,
Mass of electron,
(a) The force acting on the electron when it is accelerated is, F = ma
The force acting on the electron when it is in magnetic field, 
Here, 
So, 
Where
v is the velocity of the electron
B is the magnetic field


v = 341250 m/s
or

So, the speed of the electron is 
(b) In 1 ns, the speed of the electron remains the same as the force is perpendicular to the cross product of velocity and the magnetic field.
Answer:
The Autocratic system of governance
Explanation:
<em>Thi</em><em>s</em><em> is</em><em> </em><em>b</em><em>ecause</em><em>,</em><em>in </em><em>Autocratic</em><em> </em><em>sy</em><em>stem</em><em> </em><em>of</em><em> </em><em>gover</em><em>nance</em><em> </em><em>decis</em><em>ion</em><em> </em><em>maki</em><em>ng</em><em> </em><em>is</em><em> </em><em>don</em><em>e</em><em> </em><em>by</em><em> </em><em>onl</em><em>y</em><em> </em><em>indi</em><em>vidual</em><em>.</em><em> </em><em>And</em><em> </em><em>his</em><em>/</em><em>her</em><em> </em><em>dec</em><em>ision</em><em> </em><em>is</em><em> </em><em>fina</em><em>l</em><em>.</em>
Explanation:
(1) Every object moves in a straight line unless acted upon by a force. (2) The acceleration of an object is directly proportional to the net force exerted and inversely proportional to the object's mass. (3) For every action, there is an equal and opposite reaction.