Answer:
Vel_jet_r =  (464.645 mph)  North + (35.35 mph) East
||Vel_jet_r|| =  465.993 mph
Step-by-step explanation:
We need to decompose the velocity of the wind into a component that can be added  (or subtracted from the velocity of the jet)
The velocity of the jet
500 mph North
Velocity of the wind
50 mph SouthEast = 50 cos(45) East + 50 sin (45) South
South = - North
Vel_ wind = 50 cos(45) mph  East  -  50 sin (45) mph North
Vel _wind =  35.35 mph  East  -  35.35 mph North
This means that the resulting  velocity of the jet is equal to
Vel_jet_r =  (500 mph - 35.35 mph) North + 35.35 mph East 
Vel_jet_r =  (464.645 mph)  North + (35.35 mph) East
An the jet has a magnitude velocity of
||Vel_jet_r|| =  sqrt ((464.645 mph)^2 + (35.35 mph)^2)
||Vel_jet_r|| =  465.993 mph
 
        
             
        
        
        
Answer:
1,000 + 200 + 70
Step-by-step explanation:
Expanded form is a way of writing numbers to see the math value of individual digits. 
so for example:
5,000 + 300 + 20 + 3 
is 5,323.
 
        
             
        
        
        
Answer:
The answer is: #3 yes, yes
Step-by-step explanation:
The first 3 shapes in the image count as the first view and the 4th shape is the second view. They both represent the object. 
 
        
             
        
        
        
Answer: 0.500
Step-by-step explanation:
Given : A normal distribution has a mean
 of 10 and a standard deviation
 of 1. 
Let x be a random variable that represents numbers .
The probability of selecting a number that is at most 10 will be 

As the area occupied by standard normal curve less than equal to 0 = 0.500
So, required probability = 0.500