The cartesian coordinates of a point in the xy plane are x = −5.25 m, y = −2.21 m. find the distance r from the point to the origin. answer in units of m. calculate the angle θ between the radius-vector of the point and the positive x axis (measured counterclockwise from the positive x axis, within the limits of −180◦ to +180◦)

r = 5.696 and θ = 157.17°.

Step-by-step explanation:

the point is (-5.25,-2.21). The distance from the point to the origin is calculated with the formula

r = 5.696 m.

I drew the point and the distances in the plane. to find te angle we can use the sin formula:

sin(θ) =

θ = .

within the range of -180° and 180° the angle will be θ = 180-22.83 = -157.17°

answer: 0.1,0.85

step-by-step explanation:

"exterior angles = 360 / number of sides.

60 = 360 / sides

sides = 360 / 60

sides = 6"