Question Number 37073 by ajfour last updated on 08/Jun/18 Commented by ajfour last updated on 08/Jun/18 $${If}\:{a}\:{ray}\:{of}\:{light}\:{originate}\:{at}\:{A}, \\ $$$${get}\:{reflected}\:{by}\:{the}\:{sides}\:{of}\:\bigtriangleup{ABC} \\ $$$${at}\:{P},\:{Q},\:{R},\:{and}\:{S}\:{and}\:{reaches} \\ $$$${back}\:{to}\:{A}\:{thereupon},\:{find}\:\boldsymbol{\theta}\:{in} \\ $$$${terms}\:{of}\:\angle{A}=\alpha\:,\:\angle{B}=\beta\:,\:\angle{C}=\gamma\:.…
Question Number 168103 by Tawa11 last updated on 03/Apr/22 Commented by greogoury55 last updated on 03/Apr/22 $${F}\left(\mathrm{12},\mathrm{6}\right),{H}\left(\mathrm{0},\mathrm{2}\right)\Rightarrow\overset{\rightarrow} {{HF}}\:=\:\mathrm{12}{i}+\mathrm{4}{j} \\ $$$${G}\left(\mathrm{4},\mathrm{0}\right),\:{E}\left(\frac{\mathrm{17}}{\mathrm{2}},\mathrm{9}\right)\Rightarrow\overset{\rightarrow} {{GE}}=\:\frac{\mathrm{9}}{\mathrm{2}}{i}+\mathrm{9}{j} \\ $$$$\Rightarrow\mathrm{cos}\:{x}\:=\:\frac{\overset{\rightarrow} {{HF}}\:.\overset{\rightarrow} {{GE}}}{\mid\overset{\rightarrow}…
Question Number 168094 by cortano1 last updated on 03/Apr/22 Answered by mr W last updated on 03/Apr/22 Commented by mr W last updated on 03/Apr/22…
Question Number 168085 by amin96 last updated on 02/Apr/22 Commented by mr W last updated on 23/Apr/22 $${ST}=\mathrm{6}.\mathrm{25} \\ $$$${see}\:{Q}\mathrm{169038} \\ $$ Terms of Service…
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Question Number 168040 by cortano1 last updated on 01/Apr/22 Commented by cortano1 last updated on 01/Apr/22 $${O}\:{is}\:{center}\:{point}\:{of}\:{circle} \\ $$ Commented by som(math1967) last updated on…
Question Number 167808 by Tawa11 last updated on 25/Mar/22 Commented by Tawa11 last updated on 25/Mar/22 $$\mathrm{Will}\:\mathrm{the}\:\mathrm{masses}\:\mathrm{accelerate}\:\mathrm{at}\:\:\:\mathrm{3}.\mathrm{26m}/\mathrm{s}^{\mathrm{2}} . \\ $$ Answered by qaz last updated…
Question Number 102260 by ajfour last updated on 07/Jul/20 Commented by ajfour last updated on 07/Jul/20 $${Find}\:{r}\:{in}\:{terms}\:{of}\:{a}\:{and}\:{b}\:\left({ellipse}\right. \\ $$$$\left.{parameters}\right). \\ $$ Commented by mr W…
Question Number 102241 by ajfour last updated on 07/Jul/20 Commented by ajfour last updated on 07/Jul/20 $${If}\:{the}\:{solid}\:{cylinder}\:{and}\:{sphere}\:{have} \\ $$$${the}\:{same}\:{density}\:,\:{find}\:{maximum} \\ $$$${R}\:{such}\:{that}\:{cylinder}\:{doesn}'{t}\:{topple}. \\ $$$${center}\:{of}\:{sphere}\:{is}\:{at}\:{a}\:{level}\:{of}\:{half} \\ $$$${the}\:{cylinder}\:{height}\:{h}.\:{radius}\:{of}…
Question Number 167633 by cherokeesay last updated on 21/Mar/22 Commented by som(math1967) last updated on 22/Mar/22 Commented by som(math1967) last updated on 22/Mar/22 $${BL}\:{tanjent}\:{OL}\:\:{radius}\:\therefore{BL}\bot{OL} \\…