The length of the hypotenuse of a right triangle is 145 units. the length of one leg of the triangle is
144 units. mike wrote the following step to find the length of the unknown leg:

length of the unknown leg = 1452 − 1442 = 21,025 − 20,736 = 289 units

which statement best explains whether mike's step is correct or incorrect?

it is incorrect because the length of the unknown side is the square root of 289.
it is incorrect because the length of the unknown side is the square root of 41,761.
it is correct because the length of the unknown side is the difference of the lengths of the sides.
it is correct because the length of the unknown side is the difference of the squares of the sides.

I've been working on this for a few days and i just don't understand, it's due in a few hours. you.the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α.part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part bsuppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case.part cnow try a numerical problem. what is the direction of the vector w = < -1, 6 > ?