URGENT! PLEASE HELP!

Let's define the East as the x-axis, and the North as the y-axis

Now we can write the speed of the plane as:

(Vx, Vy)

Such that the total velocity of the plane is 350mph

This means that, if the plane flies at an angle of A degrees from the East, then:

Vx = 350mph*cos(A)

Vy = 350mph*sin(A)

We know that the speed of the wind is 65mph at 43° North from East.

This velocity, (Wx, Wy), can be written in components as:

Wx = 65mph*cos(43°) = 47.54 mph

Wy = 65mph*sin(43°) = 44.33 mph

Now, when the plane flies with the wind, the velocity of the plane will be equal to the velocity of the plane plus the velocity of the wind.

This is:

Velocity = (Vx, Vy) + (Wx, Wy) = (Vx + Wx, Vy + Wy)

The plane wants to keep going to the East, then the y-component must vanish (remember that the y-component is the one associated with the North)

Then we must have that:

Vy + Wy = 0

replacing the correspondent values, we have:

 350mph*sin(A) + 44.33 mph = 0

350mph*sin(A) = -44.33 mph

Sin(A) = -44.33 mph/350mph

A = Arcsin(-44.33 mph/350mph) = -7.27°

This means that the plane must fly at -7.27° degrees North of East (Or 7.27° South of East)

That is the direction at which the plane must fly.

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.