A,B,C,D,E are 5 points placed randomly on the circumference of a circle. Every point is joined with the points that are not adjacent to it by straight line segments. What is the sum of the angles at the vertices of the star so formed?
ans is 180
approach plz
@brpedurefer to figure below. angle DOC + BOC + AOB + EOA + EOD = 360. Angle at the circumference is 1/2 the angle at the center. so 360/2 = 180..
V is a positive integer. When V is divided by any of the numbers 2, 11, 13, 71 and 89 the remainder is 1. What is the remainder when V 256 is divided by 16?
A box contains 90 balls of different colours: 13 yellow, 19 green, 27 red, 10 black, 7 brown and 14 white. Find the smallest number V such that any V balls drawn from the box will contain at least 14 balls of the same colour.
PQRS is a square with centre O and a side of 8cm. A Vertical rod OT stands at O. anglePTQ=60. Find OT(in cm). A. 8x B)12x C)4x D)2x where x is square root of 2
On the morning of friendship day, a teacher took n friendship bands to her class intending to distribute these bands among her students. she calculated that these would be exactly sufficient, if every student of her class gave one band to every other student in the class. However exactly 2 students had not turned up and hence exactly n-50 were used up. if in the afternoon exactly 1 of these two students turned up, find the number of bands that remained unused.
In the figure, the square and the circle are intersecting each other such that AB = BC. If the radius of the circle, with the centre as O, is 1 unit and OB = 1/2, then find the length of AB.