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Nodes of the infinite checkered paper are painted in two colors. Prove that there are two horizontal and two vertical lines which intersect in the points of one color.
Is it possible to locate 1000 segments on the plane so that each segment at both ends can be rested strictly inside other segments?
N points and the middles of all segments with endpoints in them are marked on the plane. Prove that the amount of marked points is not less than (2n - 3).
I am writing a program in which we are inputting a purchase price and adding the shipping and handling charge to get a total price. When I add curPrice = curPrice + shipHandle; which would be 20 + 1.50 which should = 21.50 I get 201.5.
I can not do this question, please help. For any triangle ABC, prove that c^2=(a+b)^2[1-k^2cos(1/2)C].
Prove that in any triangle ABC sin1/2(B-C)=((b-c)/a)cos1/2A.
In a circle, if the measure of the major arc is 40 times more than the measure of the minor arc, then find the measure of minor arc.
An airline tracks data on its flight arrivals. Over the past six months, 65 flights on one route arrived early, 273 arrived on time, 218 were late, and 44 were cancelled. What is the probability that a flight is early? On time? Late? Cancelled? Are these outcomes mutually exclusive? what is the probability that a flight is either early or on time?
I'm making a student database system in which i hav used two structures i.e
struct student
{
char name[];
int regno;
};
struct course
{
char cname[];
int courseno;
}
Now i want to link the two up by assigning student number 1, course no 1....now how to link the two by making another structure? Plus i'm using filing to make this database.
On the plane there are several points, all the pairwise distance between them are different. Each of these points connect with the nearest. Can this set be a closed broken line?








