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5. A polygon has 90 diagonals. How many triangles can be formed through the vertices of the polygon?
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n(n-3)/2 <--- n gives the no of vertices (perhaps)
n = 15 (perhaps) http://www.wolframalpha.com/input/?i=n%28n-3%29%2F2+%3D+90
A. 2730 B. 455 C. 220 D. 1320
thse are options
looks like i got it wrong.
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let's try for pentagon, |dw:1335340278229:dw|
no you were right, the polygon has 15 sides (vertices) # triangles = #sides choose 3 ,since you need 3 vertices to make a triangle --> 15C3 = 455
well, that solves it :)
7. What is the sum of cubes of roots of the equation x2 − x + 1 = 0?
find the root first
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please help me
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