The engines of a plane are pushing it due west at a rate of 250 mph and the wind is blowing from the southwest at a rate of 25 mph. find the direction of the plane

84.26° in the south west direction.

Step-by-step explanation:

I've attached an image showing the triangle formed by the motion of the plane and the wind.

I've depicted the plane being pushed west and the wind moving south west.

Thus, the direction of motion of the plane will be angle θ.

Using trigonometric ratios;

25/250 = cos θ

cos θ = 0.1

θ = cos^(-1) 0.1

θ = 84.26°

Thus will be in the south west direction.

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph