The length of the longer side of rectangle $r$ is $10$ percent more than the length of a side of square $s.$ the length of the shorter side of rectangle $r$ is $10$ percent less than the length of a side of square $s.$ what is the ratio of the area of rectangle $r$ to the area of square $s? $ express your answer as a common fraction.

Arandom sample of 100 children were asked whether they prefer apples or oranges. the results are shown in the table. apples oranges boys 27 18 girls 32 23 select a word or phrase from the drop-down menus to correctly complete the statements describing the association. of the boys surveyed, more . of the girls surveyed, more . there appear to be an association between gender and fruit preference.

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.

The liabilities of cullumber are $99,000. owner’s capital is $143,000; drawings are $96,000; revenues, $467,000; and expenses, $301,000. what is the amount of cullumber company’s total assists?