Answer:
the correct answer is 51
Step-by-step explanation:
The sum of three consecutive even numbers is 51 .
0.3 times 0.2 = 0.06
We want to get the resultant velocity and direction of an airplane given that we know the velocity of the airplane and the velocity of the wind.
We will get that the velocity is 70.7 mph and the direction is 85.8° north of east.
First, let's define north as the positive y-axis and east as the positive x-axis.
The airplane flies due north at 100mph, then the velocity of the airplane alone is:
V = (0mph, 100 mph)
The wind's velocity has a magnitude of 30mph at 80° south from east (or an angle of -80° in a general coordinate axis) then the components are:
Then the vector is:
V' = (5.2mph, -29.5 mph)
The resultant velocity is just the sum of these two vectors, so we have:
resultant velocity = (0mph, 100 mph) + (5.2mph, -29.5 mph)
= (5.2 mph, 70.5 mph)
The magnitude is:
M = √( (5.2 mph)^2 + ( 70.5 mph)^2) = 70.7 mph
And the direction is given by:
θ = Atan(70.5 mph/5.2 mph) = 85.8°
Meaning that the direction is 85.8° north of east.
If you want to learn more, you can read:
Answer:
velocity of the airiplaine is 104 m/s ( 73 degrees N of W)
Step-by-step explanation:
Answer:
59 meters
Step-by-step explanation:
A=L*W
165=L*22
L=165/22=7.5
7.5=L
P=L+L+W+W
7.5+7.5+22+22=59