Geometric Design Problems HSG.MG.A.3 Grade 11 SBAC Practice Test Questions TOC | Lumos Learning

Geometric Design Problems HSG.MG.A.3 Question & Answer Key Resources Lumos StepUp - Smarter Balanced Online Practice and Assessments - Grade 11 Mathematics

Lumos StepUp - Smarter Balanced Online Practice and Assessments - Grade 11 Mathematics Geometric Design Problems

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A rope of length 18 ft is attached to the corner of an enclosed area in the shape of an equilateral triangle with side lengths of 6 ft. A person begins to walk with the end of the rope stretched tightly and makes the path as shown in the diagram below. Fill in the table below with the distance walked and the area swept out by the rope during each arc and the totals of the distance traveled and the area swept. Express your answers in terms of \(\pi.\)

Resource: Question

Question Type: Table Fill in

Standard(s):HSS.MD.A.3

Standard Description: Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers obtained by guessing on all five questions of a multiple-choice test where each question has four choices, and find the expected grade under various grading schemes.

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