Question Number 185169 by a.lgnaoui last updated on 18/Jan/23 $${calcul}\:{de}\:{l}'\:{angle}\:\boldsymbol{{x}} \\ $$$$\bigtriangleup{ABD}\:\:\:\:\:\frac{\mathrm{sin}\:\mathrm{y}}{\mathrm{AD}}=\frac{\mathrm{sin44}\:}{\mathrm{BD}}\:\:\left(\mathrm{1}\right) \\ $$$$\bigtriangleup{ADC}\:\:\:\:\:\frac{\mathrm{sin}\:\mathrm{x}}{\mathrm{AD}}=\frac{\mathrm{sin48}\:}{\mathrm{DC}}\:\left(\mathrm{2}\right) \\ $$$$\left(\mathrm{1}\right)\:\:\:\:\:\mathrm{BD}\:\mathrm{sin}\:\mathrm{y}=\mathrm{ADsin}\:\mathrm{44} \\ $$$$\left(\mathrm{2}\right)\:\:\:\:\:\:\mathrm{DCsinx}\:=\mathrm{ADsin}\:\mathrm{48} \\ $$$$ \\ $$$$\frac{\left(\mathrm{1}\right)}{\left(\mathrm{2}\right)}\Leftrightarrow\:\frac{\mathrm{BDsin}\:\mathrm{y}}{\mathrm{DCsin}\:\mathrm{x}}=\frac{\mathrm{sin}\:\mathrm{44}}{\mathrm{sin}\:\mathrm{48}}\:\:\:\left(\mathrm{3}\right) \\ $$$$ \\…
Question Number 54068 by ajfour last updated on 28/Jan/19 Commented by ajfour last updated on 28/Jan/19 $${locate}\:{P}\:\left({x},{y}\right)\:{such}\:{that}\:\bigtriangleup{APB}, \\ $$$$\bigtriangleup{BPC},\:{and}\:\bigtriangleup{CPA}\:{each}\:{have}\:{the} \\ $$$${same}\:{perimeter}.\:\left({in}\:{terms}\:{of}\:{a},{b},{c}\right) \\ $$ Commented by…
Question Number 54025 by pieroo last updated on 28/Jan/19 $$\mathrm{The}\:\mathrm{points}\:\mathrm{A},\:\mathrm{B},\:\mathrm{C},\:\mathrm{D}\:\mathrm{have}\:\mathrm{coordinates} \\ $$$$\left(−\mathrm{7},\mathrm{9}\right),\:\left(\mathrm{3},\mathrm{4}\right),\:\left(\mathrm{1},\mathrm{12}\right),\:\mathrm{and}\:\left(−\mathrm{2},−\mathrm{9}\right). \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{linePQ}\:\mathrm{where}\:\mathrm{P} \\ $$$$\mathrm{devides}\:\mathrm{AB}\:\mathrm{in}\:\mathrm{the}\:\mathrm{ratio}\:\mathrm{2}:\mathrm{3}\:\mathrm{and}\:\mathrm{devides} \\ $$$$\mathrm{CD}\:\mathrm{in}\:\mathrm{the}\:\mathrm{ratio}\:\mathrm{1}:−\mathrm{4}. \\ $$ Commented by pieroo last updated…
Question Number 53828 by ajfour last updated on 26/Jan/19 Commented by ajfour last updated on 26/Jan/19 $${Find}\:{a}\:{and}\:{b}\:{of}\:{maximum}\:{area}\:{ellipse} \\ $$$${within}\:{the}\:{trapezium}. \\ $$ Answered by ajfour last…
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Question Number 184769 by cortano1 last updated on 11/Jan/23 Commented by cortano1 last updated on 11/Jan/23 $${Find}\:{the}\:{area} \\ $$ Commented by Rasheed.Sindhi last updated on…
Question Number 53689 by ajfour last updated on 25/Jan/19 Commented by ajfour last updated on 25/Jan/19 $${Find}\:{R}\:{in}\:{terms}\:{of}\:{a},{b},\:{and}\:{r}. \\ $$ Answered by mr W last updated…
Question Number 53595 by ajfour last updated on 23/Jan/19 Commented by ajfour last updated on 24/Jan/19 Commented by ajfour last updated on 24/Jan/19 $${Find}\:{x},\:{given}\:\boldsymbol{\alpha}.\:\left({two}\:{rectangles}\right). \\…
Question Number 53492 by ajfour last updated on 22/Jan/19 Commented by ajfour last updated on 22/Jan/19 $${Find}\:{parameters}\:\boldsymbol{{a}}\:{and}\:\boldsymbol{{b}}\:{of}\:{an} \\ $$$${ellipse}\:{that}\:{circumscribes}\:{an} \\ $$$${equilateral}\:{triangle}\:{of}\:{side}\:\boldsymbol{{t}}\:{and} \\ $$$${even}\:{a}\:{square}\:{of}\:{side}\:\boldsymbol{{s}}. \\ $$…
Question Number 118874 by bemath last updated on 20/Oct/20 $${In}\:{xy}−{plane}\:,\:{which}\:{of}\:{the}\:{following} \\ $$$${is}\:{the}\:{reflection}\:{of}\:{the}\:{graph} \\ $$$${of}\:{y}\:=\:\frac{\mathrm{1}+{x}}{{x}^{\mathrm{2}} +\mathrm{1}}\:{about}\:{the}\:{line}\:{y}=\mathrm{2}{x}.\: \\ $$ Answered by bramlexs22 last updated on 20/Oct/20 $${by}\:{transformation}\:{matrix}\:\begin{pmatrix}{\mathrm{cos}\:\mathrm{2}\theta\:\:\:\:\mathrm{sin}\:\mathrm{2}\theta}\\{\mathrm{sin}\:\mathrm{2}\theta\:\:−\mathrm{cos}\:\mathrm{2}\theta}\end{pmatrix}…