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:


Answer:
You have to give us the other expressions :)
Step-by-step explanation:
Given:
Base length of triangle = 40 units
Height of triangle = 9 units
Length of hypotenuse of triangle = 41 units
To find:
Find the value of Tan A
Steps:
Tan of an angle is equal to the opposite length by adjacent length.
So,
Tan A = 
Tan A = 
Tan A = 0.225
Therefore, the exact value of Tan A is 0.225.
Happy to help :)
If you need any help, feel free to ask
Answer:

Step-by-step explanation:
An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.
The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:

Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:
b = 357 km + 959 km = 1316 km
a = 710 km + 959 km = 1669 km
Therefore the equation of the ellipse is:
