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ABC is a right-angled isosceles triangle, right-angled at B. AP, the bisector of ∠BAC, intersects BC at P. Prove that AC 2 = AP 2 + 2(1+√2)BP 2 Ans: AC = √2AB (Sinc
a computerized payroll package and its cost,futures and the size of the business and how business mathematics is an inbuilt component of the package
Following is some more common functions that are "nice enough". Polynomials are nice enough for all x's. If f ( x) = p ( x ) /q (x ) then f(x) will be nice enough provid
Lindy has 48 chocolate chip cookies and 64 vanilla wafers. How many bags can lindy fill if she puts the chocolate chip cookies and the vanilla wafers in the same bags? She plans
Projections The good way to understand projections is to see a couple of diagrams. Thus, given two vectors a → and b → we want to find out the projection of b → onto a → . T
Find out the length of Hamiltonian Path in a connected graph of n vertices. Ans: The length of Hamiltonian Path in a connected graph of n vertices is n-1.
What decimal is represented by point A on the number line? The hash marks indicate units of 0.01 between 0.75 and 0.80. Point A is 0.77. See the ?gure below.
The midpoint of the line joining (2a, 4) and (-2, 3b) is (1, 2a +1).Find the values of a & b. (Ans: a = 2, b = 2) Ans : A(2a, 4) P(1, 2a + 1) B(-2,
what value of k is he sequence 2k+4,3k-7,k+12 are in an arithmetic sequence is
1/a+b+x =1/a+1/b+1/x a+b ≠ 0 Ans: 1/a+b+x =1/a+1/b+1/x => 1/a+b+x -1/x = +1/a +1/b ⇒ x - ( a + b + x )/ x ( a + b + x ) = + a + b/ ab ⇒
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