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GeometryQuestion and Answers: Page 89

Question Number 56289    Answers: 1   Comments: 7

Question Number 56037    Answers: 1   Comments: 5

Question Number 55820    Answers: 0   Comments: 7

Question Number 55475    Answers: 1   Comments: 0

Find the equation of the plane passing through the points (1,0,0) and (0,1,0) and makes an angle of (π/4) with the plane x+y = 3

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{plane} \\ $$$$\mathrm{passing}\:\mathrm{through}\:\mathrm{the}\:\mathrm{points} \\ $$$$\left(\mathrm{1},\mathrm{0},\mathrm{0}\right)\:\mathrm{and}\:\left(\mathrm{0},\mathrm{1},\mathrm{0}\right)\:\mathrm{and}\:\mathrm{makes} \\ $$$$\mathrm{an}\:\mathrm{angle}\:\mathrm{of}\:\:\frac{\pi}{\mathrm{4}}\:\mathrm{with}\:\mathrm{the}\:\mathrm{plane} \\ $$$$\mathrm{x}+\mathrm{y}\:=\:\mathrm{3} \\ $$

Question Number 55044    Answers: 1   Comments: 2

Question Number 54991    Answers: 0   Comments: 3

Find all the roots of: z^4 + 16i = 0

$$\mathrm{Find}\:\mathrm{all}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}:\:\:\:\:\:\:\mathrm{z}^{\mathrm{4}} \:+\:\mathrm{16i}\:\:=\:\:\mathrm{0} \\ $$

Question Number 54788    Answers: 2   Comments: 1

How can cut a right angeled triangle to make a square? how can cut a equilateral triangle to make a rectangle?

$${H}\boldsymbol{\mathrm{ow}}\:\boldsymbol{\mathrm{can}}\:\boldsymbol{\mathrm{cut}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{right}}\:\boldsymbol{\mathrm{angeled}}\:\boldsymbol{\mathrm{triangle}} \\ $$$$\boldsymbol{\mathrm{to}}\:\boldsymbol{\mathrm{make}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{square}}? \\ $$$$\boldsymbol{\mathrm{how}}\:\boldsymbol{\mathrm{can}}\:\boldsymbol{\mathrm{cut}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{equilateral}}\:\boldsymbol{\mathrm{triangle}}\:\boldsymbol{\mathrm{to}} \\ $$$$\boldsymbol{\mathrm{make}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{rectangle}}? \\ $$

Question Number 54661    Answers: 1   Comments: 3

Question Number 54602    Answers: 0   Comments: 1

in a given triangle: tg(C/2)=((a.tgA+b.tgB)/(a+b)) . define the kind of triangle.

$${in}\:{a}\:{given}\:{triangle}: \\ $$$$\:\:\:\boldsymbol{\mathrm{tg}}\frac{\boldsymbol{\mathrm{C}}}{\mathrm{2}}=\frac{\boldsymbol{\mathrm{a}}.\boldsymbol{\mathrm{tgA}}+\boldsymbol{\mathrm{b}}.\boldsymbol{\mathrm{tgB}}}{\boldsymbol{\mathrm{a}}+\boldsymbol{\mathrm{b}}}\:. \\ $$$$\boldsymbol{\mathrm{define}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{kind}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{triangle}}. \\ $$

Question Number 54487    Answers: 0   Comments: 0

Question Number 58313    Answers: 2   Comments: 2

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Question Number 53910    Answers: 1   Comments: 12

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