Carmen rides her bicycle at a constant rate to the market. when she rides her bicycle back home along the same route, she bikes at three-quarters the rate she biked to the market. at any given time, t, the distance biked can be calculated using the formula d = rt, where d represents distance and r represents rate. if the trip home takes 12 minutes longer than the trip to the market, how many minutes does it take carmen to bike home?

Shane can shovel the driveway in 4 hours, but if his sister it would take 2 hours. how long would it take taylor to shovel the driveway alone

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 > ?

You are looking for your first credit card. you plan to use this credit card only for emergencies and to pay the credit card balance in full each month. which credit card feature is most important? a. no annual fee b. low apr c. generous rewards program d. no balance transfer fee select the best answer from the choices provided