On a round table top with a diameter of 100 cm, they each place a underpad in turn. the underpads are made of rigid plastic and come in two colors. arthur plays with red and olivia plays with black. the underpads have a diameter of 6 cm.
when placing underpads, they may touch each other, but they must not overlap. the underpads may also come over the edge of the table, as long as they don't fall off! there is an unlimited amount of underpads available to them. the aim of the game is to be able to place the last underpad.
is it possible to devise a tactic to always win the game? write out the method + statement.

On a piece of paper graph f(x)=5•(0.4)^x

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

Billy plotted −3 4 and −1 4 on a number line to determine that −3 4 is smaller than −1 4 .is he correct? explain why or why not