Question Number 180104 by mr W last updated on 07/Nov/22 Commented by mr W last updated on 07/Nov/22 $${A}\:{lies}\:{on}\:{x}−{axis}\:{and}\:{B}\:{on}\:{the}\:{curve} \\ $$$${y}={x}^{\mathrm{2}} .\:{P}\:{is}\:{at}\:\left(\mathrm{4},\mathrm{4}\right).\:{find}\:{the}\:{smallest} \\ $$$${perimeter}\:{of}\:{triangle}\:{PAB}. \\…
Question Number 180066 by mr W last updated on 06/Nov/22 Commented by mr W last updated on 06/Nov/22 $${A}\:{lies}\:{on}\:{the}\:{x}\:{axis}\:{and}\:{B}\:{on}\:{the}\:{blue} \\ $$$${line}.\:{P}\:{is}\:{at}\:\left(\mathrm{4},\mathrm{4}\right).\:{find}\:{the}\:{smallest}\: \\ $$$${perimeter}\:{of}\:{triangle}\:{PAB}. \\ $$…
Question Number 180043 by mr W last updated on 06/Nov/22 Commented by CElcedricjunior last updated on 06/Nov/22 $$\boldsymbol{{d}}'\boldsymbol{{apres}}\:\boldsymbol{{le}}\:\boldsymbol{{theoreme}}\:\boldsymbol{{des}}\:\boldsymbol{{sinus}} \\ $$$$\frac{\mathrm{7}}{\boldsymbol{{sin}\alpha}}=\frac{?}{\boldsymbol{{sin}}\mathrm{2}\boldsymbol{\alpha}}=\frac{\mathrm{8}}{\boldsymbol{{sin}}\left(\boldsymbol{\pi}−\mathrm{3}\boldsymbol{\alpha}\right)} \\ $$$$=>\frac{\mathrm{7}}{\boldsymbol{{sin}\alpha}}=\frac{?}{\boldsymbol{{sin}}\mathrm{2}\boldsymbol{\alpha}}=\frac{\mathrm{8}}{\boldsymbol{{sin}}\mathrm{3}\boldsymbol{\alpha}} \\ $$$$\Leftrightarrow\frac{?}{\mathrm{7}}=\mathrm{2}\boldsymbol{{cos}\alpha}=>?=\mathrm{14}\boldsymbol{{cos}\alpha}=>?^{\mathrm{2}} =\mathrm{14}^{\mathrm{2}}…
Question Number 48879 by behi83417@gmail.com last updated on 29/Nov/18 Commented by behi83417@gmail.com last updated on 29/Nov/18 $${ABCD}:{square}\:{with}\:{side}\:{length}=\boldsymbol{\mathrm{a}} \\ $$$$\boldsymbol{\mathrm{let}}:\begin{cases}{}&{\boldsymbol{\mathrm{p}}={EF}+{FG}+{GH}+{HE}}\\{}&{\boldsymbol{\mathrm{q}}={EF}^{\mathrm{2}} +{FG}^{\mathrm{2}} +{GH}^{\mathrm{2}} +{HE}^{\mathrm{2}} }\end{cases} \\ $$$${find}:{max}\:\&{min}\:{of}:\:\boldsymbol{\mathrm{p\&q}}.…
Question Number 48874 by behi83417@gmail.com last updated on 29/Nov/18 Commented by behi83417@gmail.com last updated on 29/Nov/18 $${ABC},{equilateral}. \\ $$$${CD}={CE}=\mathrm{8},{AD}={EB}=\mathrm{4},{DE}=\mathrm{3} \\ $$$$\Rightarrow\:\:{AB}=? \\ $$ Answered by…
Question Number 179938 by Acem last updated on 04/Nov/22 Commented by Acem last updated on 04/Nov/22 $${It}'{s}\:{correct},\:{Thanks}\:{Sir}! \\ $$ Commented by HeferH last updated on…
Question Number 179927 by Tawa11 last updated on 04/Nov/22 Commented by som(math1967) last updated on 04/Nov/22 Commented by som(math1967) last updated on 04/Nov/22 $$\:\mathrm{3}\boldsymbol{{b}} \\…
Question Number 114374 by MASANJAJ last updated on 18/Sep/20 $${if}\:{the}\:{sum}\:{of}\:{three}\:{consecutive}\:{num} \\ $$$${ber}\:{in}\:{a}\:{geometric}\:{progression}\left({G}.{P}\right) \\ $$$${is}\:\mathrm{19}\:{and}\:{their}\:{multiple}\:{is}\:\mathrm{216}.{find} \\ $$$${the}\:{number} \\ $$ Answered by Rio Michael last updated on…
Question Number 114379 by A8;15: last updated on 18/Sep/20 Commented by A8;15: last updated on 18/Sep/20 please help Answered by mr W last updated on 19/Sep/20…
Question Number 179869 by cherokeesay last updated on 03/Nov/22 Commented by HeferH last updated on 03/Nov/22 Commented by HeferH last updated on 03/Nov/22 $$\:\frac{{x}}{\mathrm{6}}\:=\:\frac{\mathrm{6}}{\mathrm{12}} \\…