Answer:
Step-by-step explanation:
Let suppose that airliners travel at constant speed. The equations for travelled distance of each airplane with respect to origin are respectively:
First airplane
Where t is the time measured in hours.
Since north and west are perpendicular to each other, the staight distance between airliners can modelled by means of the Pythagorean Theorem:
Rate of change of such distance can be found by the deriving the expression in terms of time:
Where 
and 
, respectively. Distances of each airliner at 2:30 PM are:
The rate of change is:
Area of circle= π·r² so, π·20²= π·400≡ 1256.637061
consider X-axis along the east-west direction and north-south direction along Y-axis
A = magnitude of distance traveled by hiker in north-east direction = 30 kilometer
θ = angle of direction of displacement of the hiker relative to x-axis or east direction = 45 degree counterclockwise
A' = component of distance traveled by the hiker along the east direction.
Since the angle is given with the x-axis, the Sin provides the component in Y-direction. hence
Using the equation
A' = A Sinθ
Inserting the values
A' = (30) Sin45
A' = 21.2 km
Answer:
Hi there!
Your answer is:
-1 >=x>5
This can be broken down to:
x <= -1
x>5
Which fits your requirements!
