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Nikhil S.

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Trigonometry

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Question:

What is the area of a square whose diagonal is 25 m.

Nikhil S.

Answer:

Area of square= a * a , where a = Side of Let Diagonal be d. d^2= a^2 + a^2 25^2= 2 * a^2 625/2 = Area Area= 312.5

Geometry

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Question:

ABC is an isoceles right triangle with area = 8. Find the length of all the sides.

Nikhil S.

Answer:

Let the sides be Base (b), Height (l) and hypotenuse (h). (b*l)/2= 8 -> Area b^2= 16 (since l=b) b= 4 l^2 + b^2 = h^2 32 = h^2 h= 5.656

Algebra

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Question:

Solve: 12x^2 + 6x= 3

Nikhil S.

Answer:

6x^2 + x -1 = 0 6x^2 +3x -2x -1 =0 3x(2x+1) -1 (2x+1) = 0 (3x-1) (2x+1)= 0 x= 1/3 or -1/2

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