Answer:
a = 40
b = 29
Explanation:
Give a place holder for the numbers that we don't know.
Lets call the two numbers a and b.
From the given info, we can write an expression and solve it:
"one number is 11 more than another number"
a = 11 + b
from this, we know that a > b.
''three times the larger number exceeds four times the smaller number by 4"
3a = 4b + 4
Now we have 2 equations, we can use them to solve using whatever method you want.
a = 11 + b
3a = 4b + 4
I will be using matrices RREF to solve for this.
a - b = 11
3a - 4b = 4
![\begin{bmatrix}1 & -1 & 11\\3 & -4 & 4 \end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D1%20%26%20-1%20%20%26%2011%5C%5C3%20%26%20-4%20%26%204%20%5Cend%7Bbmatrix%7D)
![\begin{bmatrix}1 & 0 & 40\\0 & 1 & 29 \end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D1%20%26%200%20%20%26%2040%5C%5C0%20%26%201%20%26%2029%20%5Cend%7Bbmatrix%7D)
a = 40
b = 29
Answer:
The 21st century world have been earmarked with great influx of people to the urban centre,the notion of gender equality and female education have also made most traditional roles in the family changing.Before now,wives we're known for their full independence on their husband who is considered the bread winner.
Inspite of the growth of of the urban centre the availability of resources have dwindled,resulting in the surge of unemployment in many urban centre,the political entity of the society which is the government have serious challenging in managing the various threat posed by overpopulation, unemployment results in the decrease of standard of living of person and family,to cater for this family have to change their roles,wives now work to support the husband.
Explanation:
Answer:
A) 282.34 - j 12.08 Ω
B) 0.0266 + j 0.621 / unit
C)
A = 0.812 < 1.09° per unit
B = 164.6 < 85.42°Ω
C = 2.061 * 10^-3 < 90.32° s
D = 0.812 < 1.09° per unit
Explanation:
Given data :
Z ( impedance ) = 0.03 i + j 0.35 Ω/km
positive sequence shunt admittance ( Y ) = j4.4*10^-6 S/km
A) calculate Zc
Zc =
=
=
= 282.6 < -2.45°
hence Zc = 282.34 - j 12.08 Ω
B) Calculate gl
gl =
d = 500
z = 0.03 i + j 0.35
y = j4.4*10^-6 S/km
gl = ![\sqrt{0.03 i + j 0.35* j4.4*10^-6} * 500](https://tex.z-dn.net/?f=%5Csqrt%7B0.03%20i%20%20%2B%20j%200.35%2A%20%20j4.4%2A10%5E-6%7D%20%20%2A%20500)
= ![\sqrt{1.5456*10^{-6} < 175.1^0} * 500](https://tex.z-dn.net/?f=%5Csqrt%7B1.5456%2A10%5E%7B-6%7D%20%3C%20175.1%5E0%7D%20%2A%20500)
= 0.622 < 87.55 °
gl = 0.0266 + j 0.621 / unit
C) exact ABCD parameters for this line
A = cos h (gl) . per unit = 0.812 < 1.09° per unit ( as calculated )
B = Zc sin h (gl) Ω = 164.6 < 85.42°Ω ( as calculated )
C = 1/Zc sin h (gl) s = 2.061 * 10^-3 < 90.32° s ( as calculated )
D = cos h (gl) . per unit = 0.812 < 1.09° per unit ( as calculated )
where : cos h (gl) = ![\frac{e^{gl} + e^{-gl} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7Be%5E%7Bgl%7D%20%2B%20e%5E%7B-gl%7D%20%20%7D%7B2%7D)
sin h (gl) = ![\frac{e^{gl}-e^{-gl} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7Be%5E%7Bgl%7D-e%5E%7B-gl%7D%20%20%7D%7B2%7D)
True
the answer to this would be true
Answer:
Free convection:
When heat transfer occurs due to density difference between fluid then this type of heat transfer is know as free convection.The velocity of fluid is zero or we can say that fluid is not moving.
Force convection:
When heat transfer occurs due to some external force then this type of heat transfer is know as force convection.The velocity of fluid is not zero or we can say that fluid is moving in force convection.
Heat transfer coefficient of force convection is high as compare to the natural convection.That is why heat force convection reach a steady-state faster than an object subjected to free-convection.
We know that convective heat transfer given as
q = h A ΔT
h=Heat transfer coefficient
A= Surface area
ΔT = Temperature difference