Colin is buying dirt to fill a garden bed that is a 9 ft by 18 ft rectangle. If he wants to fill it to a depth of 4 in., how many cubic yards of dirt does he need? If necessary, round to the nearest cubic yard. If dirt costs $35 per yd3, how much will the project cost?

The project will require ? yd3 of dirt, and will cost ? $.

Figure lmno is located at l (1, 1), m (4, 4), n (7, 1), and o (4, −2). use coordinate geometry to best classify quadrilateral lmno.

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.

Triangles abc and dfg are given. find the lengths of all other sides of these triangles if: b ∠a≅∠d, ab·dg=ac·df, ac=7 cm, bc=15 cm, fg=20 cm, and df-ab=3 cm.