Gbotty

Show that the points (20°N,20°E) and (60°N,160°W) lie on the same great circle.Find their great circle distance apart.

Three circles centre A,B and C with radii 4cm, 3cm, 2cm, respectively, touch one another externally.Calculate the lengths of the sides of triangle ABC

Three circles touch one another externally.Their centres form A triangle with sides 10cm,9cm and 7cm.Find the radii of the circles

A circle is drawn inside a triangle ABC to touch the sides BC,CA and AB at P,Q and R respectively.if A=56° and B=68°, find the angles of triangle PQR

A commitee consists of six men and four women.A randomly chosen subcommittee is made up of three of the committee members.What is the probability that (a) they are all women (b) two of them are men

It is assumed that when children are born they are equally likely to be boys or girls.What is the probability that a family of four children contains (a) three boys and one girl (b) two boys and two girls

Five cards are lettered A B C D R.Three cards are chosen at random, one after the other, without replacement and are placed in the order.what is the probability that the cards spell the word BED

A card is chosen from a pack of playing cards then returned to the pack.A second card is chosen.What is the probability that both cards are black

In a large crowd,there are three times as many men as women.Three people are chosen at random.Assuming that there are so many people that choosing three has a negligible effect on the proportion of men to women,find the probability that they are (a) all m...