Math Problem Statement
in a rectangle ABCD of width 1 and length 2 suppose AD is a length let R be a point selected at random from within the rectangle. the probability that < ARD is obtuse is closest to X/400 where X is an interger. find X
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Probability
Vector Dot Product
Formulas
Dot product of vectors: A · B = A_x * B_x + A_y * B_y
Inequality for obtuse angle: x^2 + y^2 < y
Area of a circle: A = πr^2
Theorems
Condition for an obtuse angle using dot product
Geometric probability involving area calculations
Suitable Grade Level
Grades 11-12
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