66x12=792 pupils can ride on 12 buses
No it is not. If you had two fixed diagonals which are attached in the center, when they move it creates different parallelograms. The area would be close to zero if they were parallel.
The solution depends on the value of
. To make things simple, assume
. The homogeneous part of the equation is
and has characteristic equation
which admits the characteristic solution
.
For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be
. Then
So you have
This means
and so the general solution would be
If we are to consider the number of slices of bread first,
number of sandwiches = (28 slices of bread)(1 sandwich/ 2 slices of bread)
number of sandwiches = 14 sandwiches
If we are to consider the number of slices of cheese
number of sandwiches = (45 slices of cheese)(1 sandwich / 3 slices of cheese)
number of sandwiches = 15 sandwiches
Since, 14 is smaller than 15 then, 14 is the answer.
<em>Answer: 14 sandwiches</em>
The electrical resistance of a wire varies as its length and inversely as the square of the diameter.
R = (k*L)/(d^2)
where k = proportionality constant
Since the two wires have the same material, their proportionality constant is same.
Equating that
(R1*d1^2)/L1 = (R2*d2^2)/L2
Given that R1 = 10 ohms, d1 = 1.2 mm or 0.0012 m, L1 = 18 m, d2 = 1.5 mm or 0.0015 m, L2 = 27 m, and R2 is unknown.
Therefore
[10*(0.0012^2)]/18 = [R2*(0.0015^2)]/27
R2 = 9.6 ohms
