Answer:

Step-by-step explanation:
well, by using definition of tan of an angle
let the distance between Earth and shooting star is
.
since
,
then 
Write the equation of the first train: x = 12t
Write the equation of the second train: y = -20t+72, assuming the train one is at the origins when t = 0.
Now solve the equation: 12t=-20t+72,
32t = 72, then t = 2.25 hours. The two train meet after 2.25 hours.
Now the equation of the <span>pigeon is like this: x = 48t.
</span>Then for t = 2.25, we get

<span>
The Hyde has flown 108 km when the trains meet.</span>
X= 55 degrees ...........
Answer:
center of mass = ( 1 ,2 )
Step-by-step explanation:
attached below is the detailed solution of the problem
first we have to determine the value of m
M = ∫∫ dA
= 6
Mx = 12
attached solution below
My = 6
hence center of mass of a thin plate
x , y
= My/m , Mx/m
= 6/6 , 12/6
= ( 1, 2 )