2)
4x-10y=12
Subtract 4x from each side.
-10y=-4x+12
Divide both sides by -10
y=2/5x-6/5
3)
13=1/6y+2x
Subtract 2x from each side.
-2x+13=1/6y
Multiply both sides by 6.
-12x+78=y
Flip it around.
y=-12x+78
Hope this helps!
Use the formula for area of a triangle:
Area = 1/2 x base x height.
Fill in what you know:
40 = 1/2 x 20 x height
Multiply both sides by 2:
80 = 20 x height
Divide both sides by 20
Height = 4 m
Answer:
1 Angle A is 44, 2 angle A is 20.
~~~~~~~~~~~~~~~~~~~~~~~~~~~
The Equation for 1 is x + 45 + 82 + x + 65 = 180 x = -1 A = 44 Degrees
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The Equation for 2 is x + 21 + 130 + x + 31 = 180 x = -1 Angle A = 20 Degree
~~~~~~~~
Bye have a nice day :)
Answer:
probably
D because they're both the same shape it's just D is smaller.
Step-by-step explanation:
1.all three sides are equal
2.2 sides and their included angle are equal
3.A pair of angles and their included side are equal
4.2 corresponding angles and their non included side are equal.
5.the hypotenuse and 1 leg of a right triangle equal.
Answer:
Step-by-step explanation:
Given
Expected no of customer in the system is 4 i.e. length of queue is ![L=4](https://tex.z-dn.net/?f=L%3D4)
Expected waiting time in the system ![W=80\ min](https://tex.z-dn.net/?f=W%3D80%5C%20min)
Length of queue is given by
![L=\frac{\rho }{1-\rho }](https://tex.z-dn.net/?f=L%3D%5Cfrac%7B%5Crho%20%7D%7B1-%5Crho%20%7D)
![4=\frac{\rho }{1-\rho }](https://tex.z-dn.net/?f=4%3D%5Cfrac%7B%5Crho%20%7D%7B1-%5Crho%20%7D)
thus ![\rho =\frac{4}{5}](https://tex.z-dn.net/?f=%5Crho%20%3D%5Cfrac%7B4%7D%7B5%7D)
where ![\rho =\frac{mean\ arrival\ rate}{mean\ service\ rate}](https://tex.z-dn.net/?f=%5Crho%20%3D%5Cfrac%7Bmean%5C%20arrival%5C%20rate%7D%7Bmean%5C%20service%5C%20rate%7D)
L is also given by
![L=\lambda \times W](https://tex.z-dn.net/?f=L%3D%5Clambda%20%5Ctimes%20W)
therefore
![\lambda =\frac{4}{80}=\frac{1}{20}](https://tex.z-dn.net/?f=%5Clambda%20%3D%5Cfrac%7B4%7D%7B80%7D%3D%5Cfrac%7B1%7D%7B20%7D)
where
=mean arrival rate
=mean service rate
Probability that customer service rate is less than 40 minutes is
![P=1-\rho e^{-\mu (1-\rho )\cdot t}](https://tex.z-dn.net/?f=P%3D1-%5Crho%20e%5E%7B-%5Cmu%20%281-%5Crho%20%29%5Ccdot%20t%7D)
![P=1-0.8\times e^{-\frac{1}{16}\times 0.2\times 40}](https://tex.z-dn.net/?f=P%3D1-0.8%5Ctimes%20e%5E%7B-%5Cfrac%7B1%7D%7B16%7D%5Ctimes%200.2%5Ctimes%2040%7D)
![P=1-0.4852](https://tex.z-dn.net/?f=P%3D1-0.4852)
![P=0.5147](https://tex.z-dn.net/?f=P%3D0.5147)