AMC 10 A AMC 12 A Problem 09 Apply the Pythagorean Theorem to

Amc 10 a amc 12 a problem 09 apply the pythagorean

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2008 AMC 10 A, Problem #142008 AMC 12 A, Problem #09“Apply the Pythagorean Theorem to find out height and width of thescreen.”Difficulty:Medium-hardNCTM Standard:Geometry Standard: use trigonometric relationships to determine lengths andangle measures.Mathworld.com Classification:Geometry>Plane Geometry>Triangles>Triangle Properties>Pythagorean Theorem
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Yesterday Han drove 1 hour longer than Ian at an average speed 5 milesper hour faster than Ian. Jan drove 2 hours longer than Ian at an averagespeed 10 miles per hour faster than Ian. Han drove 70 miles more thanIan. How many more miles did Jan drive than Ian?2008 AMC 10 A, Problem #15“Set up equation to represent the relations with Ian’s total time,hhours,and average speed,rmiles.”Difficulty:Medium-hardNCTM Standard:Algebra Standard: use symbolic algebra to represent and explain mathematicalrelationships.Mathworld.com Classification:None
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PointsAandBlie on a circle centered atO, andAOB= 60. A second circle is internally tangentto the first and tangent to bothOAandOB. Whatis the ratio of the area of the smaller circle to that ofthe larger circle?(A)116(B)19(C)18(D)16(E)14
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