Next figure out how many of those points are 2 units or less from the origin. In other words,
you’re looking for points (x,y) such that x^2 + y^2 ≤ 4. There are 9 points on the axes that work:(0,−2), (0,−1), (0,0), (0,1), (0,2), (−2,0), (−1,0), (1,0), (2,0)
Additionally there are these four points that fit:(−1,−1), (−1,1), (1,−1), (1,1)
That’s a total of 9 + 4 = 13: Favorable outcomes = 13.So the probability is 13 ÷ 49 ≈ 0.265.13 . A
It’s a right triangle, so the two acute angles add up to 90 degrees.
Since their degree measures are in a 2-to-3 ratio, they must be of 90 and of 90, or 36 and
54:The side AC you’re looking for is opposite the 36° angle. Therefore,Use your calculator to find that sin 36° ≈ 0.588. Therefore,