How do I find the maximum number of hours that the completion time for a critical activity (float/slack time=0) can be reduced without affecting the critical path of a project?

In the diagram, the ratio of ab to ae is (1/2) . what is the ratio of the length of to the length of ?

Consider the following function. which of the following graphs corresponds to the given function? w. x. y. z. a. z b. y c. x d.

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 b suppose 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 c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?