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GeometryQuestion and Answers: Page 54

Question Number 159392    Answers: 1   Comments: 1

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Question Number 158391    Answers: 2   Comments: 1

if Ξ±,Ξ²,Ξ³ are the angles of a triangle, find ((sin 2𝛂+sin 2𝛃+sin 2𝛄)/(sin 𝛂 sin 𝛃 sin 𝛄))=?

$${if}\:\alpha,\beta,\gamma\:{are}\:{the}\:{angles}\:{of}\:{a}\:{triangle}, \\ $$$${find}\:\frac{\boldsymbol{\mathrm{sin}}\:\mathrm{2}\boldsymbol{\alpha}+\boldsymbol{\mathrm{sin}}\:\mathrm{2}\boldsymbol{\beta}+\boldsymbol{\mathrm{sin}}\:\mathrm{2}\boldsymbol{\gamma}}{\boldsymbol{\mathrm{sin}}\:\boldsymbol{\alpha}\:\boldsymbol{\mathrm{sin}}\:\boldsymbol{\beta}\:\boldsymbol{\mathrm{sin}}\:\boldsymbol{\gamma}}=? \\ $$

Question Number 158422    Answers: 2   Comments: 1

Question Number 158335    Answers: 2   Comments: 0

if Ξ±,Ξ²,Ξ³ are the angles of a triangle, find (1/(tan 𝛂 tan 𝛃))+(1/(tan 𝛃 tan 𝛄))+(1/(tan 𝛄 tan 𝛂))=?

$${if}\:\alpha,\beta,\gamma\:{are}\:{the}\:{angles}\:{of}\:{a}\:{triangle}, \\ $$$${find}\: \\ $$$$\frac{\mathrm{1}}{\boldsymbol{\mathrm{tan}}\:\boldsymbol{\alpha}\:\boldsymbol{\mathrm{tan}}\:\boldsymbol{\beta}}+\frac{\mathrm{1}}{\boldsymbol{\mathrm{tan}}\:\boldsymbol{\beta}\:\boldsymbol{\mathrm{tan}}\:\boldsymbol{\gamma}}+\frac{\mathrm{1}}{\boldsymbol{\mathrm{tan}}\:\boldsymbol{\gamma}\:\boldsymbol{\mathrm{tan}}\:\boldsymbol{\alpha}}=? \\ $$

Question Number 158237    Answers: 0   Comments: 1

Question Number 158079    Answers: 2   Comments: 1

Question Number 157965    Answers: 1   Comments: 1

Question Number 157824    Answers: 0   Comments: 0

Question Number 157739    Answers: 1   Comments: 1

two parallel paths 26m apart run eastβˆ’west through the woods. one person east on one path at 3 kmph and another west on other path at 4 kmph. if they pass each other at time t =0 , i)how far apart are they 8 sec later? ii) how fast is the distance between them changing at that mlment? iii)find the distance L between them at 8 sec and (dL/dt)?

$${two}\:{parallel}\:{paths}\:\mathrm{26}{m}\:{apart}\:{run} \\ $$$${east}βˆ’{west}\:{through}\:{the}\:{woods}. \\ $$$${one}\:{person}\:{east}\:{on}\:{one}\:{path}\:{at}\: \\ $$$$\mathrm{3}\:{kmph}\:{and}\:{another}\:{west}\:{on}\:{other}\: \\ $$$${path}\:{at}\:\mathrm{4}\:{kmph}.\:{if}\:{they}\:{pass}\:{each}\: \\ $$$${other}\:{at}\:{time}\:{t}\:=\mathrm{0}\:,\: \\ $$$$\left.{i}\right){how}\:{far}\:{apart}\:{are}\:{they} \\ $$$$\mathrm{8}\:{sec}\:{later}?\: \\ $$$$\left.{ii}\right)\:{how}\:{fast}\:{is}\:{the}\: \\ $$$${distance}\:{between}\:{them}\:{changing}\: \\ $$$${at}\:{that}\:{mlment}?\: \\ $$$$\left.{iii}\right){find}\:{the}\:{distance}\:{L} \\ $$$${between}\:{them}\:{at}\:\mathrm{8}\:{sec}\:{and}\:\frac{{dL}}{{dt}}? \\ $$

Question Number 157652    Answers: 0   Comments: 4

Question Number 157292    Answers: 1   Comments: 6

Question Number 157225    Answers: 0   Comments: 2

Question Number 157114    Answers: 0   Comments: 2

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