Sin (Π/2 - theta) = sin(Π/2) * cos(theta) - cos(Π/2) * sin (theta)
and as we know sin(Π/2) =1 , cos(Π/2)=0
so sin(Π/2 - theta) = 1* cos(theta) - 0* sin(theta)= cos(theta)
2nd cos(180+ theta) = cos(180)*cos(theta) - sin(180)* sin(theta)
,,, so , cos(180+theta) = -cos(theta)
Answer:
y=14
Step-by-step explanation:
x + y = 84
-1(x - 4y = 14)
-x + 4y = -14
x + y = 84
-x + 4y = -14
5y = 70
divide by 5
y = 14
Answer:
for 
and 
for 
Step-by-step explanation:
Remember that the CDF of an exponental random variable is given by
where 
is the parameter. In this case 
so, for this case
Answer:
First equation x=2, Y=9, Second Eq, x=2, y=1
Step-by-step explanation:
X+Y=11
2X-Y=-5 by substitution Y=11-X
So, 2x-(11-x)=-5, 2x-11+x=-5, 3x=6, x=2. Thus, Y=11-2=9
2x+y=5
3x-2y=4
so, y=5-2x
Thus, 3x-2(5-2x)=4
3x-10+4x=4, 7x=14, x=2, Thus, Y=5-2(2)= 1
