| [ QuizWit ] in KIDS 글 쓴 이(By): billy (김성수) 날 짜 (Date): 1996년02월27일(화) 23시16분10초 KST 제 목(Title): 문제 들 . consider 2 congruent circles with radius 5, and whose centers are 13 units apart. From one of the centers, draw two lines tangent to the other circle. Now, connect the two tangent points, and form a triangle with vertices at the center and the two tangent points. What is the area of the part of the triangle that is not also inside a circle? 2. If: M-I+K-E=-3 MI-MK+ME+IK-IE+KE=9 MIK-MIE+MKE-IKE=-23 MIKE=-12 Then what is this equal to? M+(I+K+E)/E 3. If I have 4 red marbles and 5 blue marbles in my left pocket, and I have 5 red marbles and 4 blue marbles in my right pocket, and I choose at random a marble from my left pocket and place it in my right pocket, then what is the probability that I will then pull a blue marble from my right pocket? 4. What is the smallest possible subset of {1,2,3...,1000} that has at least one number that divides any other number? 5. If f(x)= the number of numbers relatively prime to x where two relatively prime numbers means that they have no common prime factors ex. f(9)=6 where 1,2,4,5,7,8 are all relatively prime to 9 then what is f(5000)? |