The engines of a plane are pushing it due north 300mph ant the wind is blowing at a rate of 40 mph, pushing the plane 20 degrees west of south. How fast is the plane going?

The plane travels at a speed of approximately 262.768 miles per hour.

Step-by-step explanation:

The absolute velocity of the plane () is the vectorial sum of vectors from engines () and wind flow (). All vectors are measured in miles per hour. That is:

(1)

Let suppose that both north and east semiaxes are positive.

If we know that and , then the resultant velocity of the plane is:

The resultant speed of the plane is determined by Pythagorean Theorem:

The plane travels at a speed of approximately 262.768 miles per hour.

last one.

step-by-step explanation:

last one.

generally speaking, the others follow some sort of pattern that correlates to either linear (looks like a straight line) or sinusoidal (looks like an s).

the last one is just a random cloud of points that doesn't correlate to any particular known order.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.