Karl has 11 cups of sugar, and he wants to make 2 batches of his famous triple chocolate cookies, and 1 batch of sugar cookies. Each batch of triple chocolate cookies takes $2\frac{1}{3}$ cups of sugar, and each batch of sugar cookies takes $3\frac{2}{5}$ cups of sugar. After Karl makes his cookies, how many cups of sugar will he have left? Express your answer as a mixed number.

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 > ?