Answer:
The wind pushed the plane
miles in the direction of
East of North with respect to the destination point.
Step-by-step explanation:
Let origin, O, br the starting point and point D be the destination at 250 miles at a bearing of 20° E of S, but due to wind let D' be the actual position of the plane at 230 miles away from the starting point in the direction of 35° E of South as shown in the figure.
So, we have |OD|=250 miles and |OD'|=230 miles.
Vector
is the displacement vector of the plane pushed by the wind.
From figure, the magnitude of the required displacement vector is

and the direction is
east of north as shown in the figure,

From the figure,



miles
Again, 


miles
Now, from equations (i) and (ii), we have
miles, and


Hence, the wind pushed the plane
miles in the direction of
E astof North with respect to the destination point.
-7z - 7 ≤ -5z + 5
- 7 - 5 ≤ -5z + 7z
-12 ≤ 2z
-12/2 ≤ z
-6 ≤ z or z>= -6
Let the slower train's velocity be x-21
Let the faster train's velocity be x
We know that the approach speed is the sum of both speeds, so x+x -21= 2x-21.
The approach rate is given by Distance/time = 471/3 = 157mpH
x+x-21=157
2x=157+21
2x=178
x=89mph
The slower train is travelling 89-21 = 68mph
The faster train is travelling 89mph.
Answer:
this is hard what grade is this for
Step-by-step explanation:
Answer:
a?
Step-by-step explanation: