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Category: Geometry

Question-26389

Question Number 26389 by ajfour last updated on 24/Dec/17 Commented by ajfour last updated on 24/Dec/17 $$\:\:\:{r}+\frac{\mathrm{1}}{{r}^{\mathrm{2}} }={c}\:;\:\:{or}\:\:\:\mathrm{cos}\:\theta+\mathrm{sec}\:^{\mathrm{2}} \theta\:={c} \\ $$$$\Rightarrow\:\:{if}\:\:{x}=\frac{\mathrm{1}}{{r}}\:\:\:{then}\:\:{x}^{\mathrm{2}} +\frac{\mathrm{1}}{{x}}={c}\: \\ $$$${or}\:\:\:{x}^{\mathrm{3}} −{cx}+\mathrm{1}=\mathrm{0}…

suppose-you-drop-a-tennis-ball-from-a-hieght-of-15-feet-after-the-ballhits-the-floor-it-rebounds-to85-of-its-previous-height-how-high-will-the-ball-rebound-after-its-ghird-bounce-round-tl-the-neares

Question Number 157054 by andradamaryjane last updated on 19/Oct/21 $${suppose}\:{you}\:{drop}\:{a}\:{tennis}\:{ball}\:{from}\:{a}\:{hieght}\:{of}\:\mathrm{15}\:{feet}.{after}\:{the}\:{ballhits}\:{the}\:{floor}\:{it}\:{rebounds}\:\:{to}\mathrm{85\%}\:{of}\:{its}\:{previous}\:{height}.{how}\:{high}\:{will}\:{the}\:{ball}\:{rebound}\:{after}\:{its}\:{ghird}\:{bounce}\:{round}\:{tl}\:{the}\:{nearest}\:{tenth} \\ $$$$ \\ $$ Commented by mr W last updated on 19/Oct/21 $${suppose}\:{you}\:{don}'{t}\:{write}\:{all}\:{text}\:{in}\:{a} \\ $$$${single}\:{line},\:{maybe}\:{more}\:{people}\:{may}…

A-bus-is-traveling-along-a-straight-road-at-100-km-hr-and-the-bus-conductor-walks-at-6-km-hr-on-the-floor-of-the-bus-and-in-the-same-direction-as-the-bus-Find-the-speed-of-the-conductor-relative-to-t

Question Number 25963 by tawa tawa last updated on 16/Dec/17 $$\mathrm{A}\:\mathrm{bus}\:\mathrm{is}\:\mathrm{traveling}\:\mathrm{along}\:\mathrm{a}\:\mathrm{straight}\:\mathrm{road}\:\mathrm{at}\:\mathrm{100}\:\mathrm{km}/\mathrm{hr}\:\mathrm{and}\:\mathrm{the}\:\mathrm{bus}\:\mathrm{conductor} \\ $$$$\mathrm{walks}\:\mathrm{at}\:\mathrm{6}\:\mathrm{km}/\mathrm{hr}\:\mathrm{on}\:\mathrm{the}\:\mathrm{floor}\:\mathrm{of}\:\mathrm{the}\:\mathrm{bus}\:\mathrm{and}\:\mathrm{in}\:\mathrm{the}\:\mathrm{same}\:\mathrm{direction}\:\mathrm{as}\:\mathrm{the}\:\mathrm{bus}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{the}\:\mathrm{conductor}\:\mathrm{relative}\:\mathrm{to}\:\mathrm{the}\:\mathrm{road}\:\mathrm{and}\:\mathrm{relative}\:\mathrm{to}\:\mathrm{the}\:\mathrm{bus}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

A-line-passes-through-A-3-0-and-B-0-4-A-variable-line-perpendicular-to-AB-is-drawn-to-cut-x-and-y-axes-at-M-and-N-Find-the-locus-of-the-point-of-intersection-of-the-lines-AN-and-BM-

Question Number 25930 by Tinkutara last updated on 16/Dec/17 $$\mathrm{A}\:\mathrm{line}\:\mathrm{passes}\:\mathrm{through}\:{A}\left(−\mathrm{3},\:\mathrm{0}\right)\:\mathrm{and} \\ $$$${B}\left(\mathrm{0},\:−\mathrm{4}\right).\:\mathrm{A}\:\mathrm{variable}\:\mathrm{line}\:\mathrm{perpendicular} \\ $$$$\mathrm{to}\:{AB}\:\mathrm{is}\:\mathrm{drawn}\:\mathrm{to}\:\mathrm{cut}\:{x}\:\mathrm{and}\:{y}-\mathrm{axes}\:\mathrm{at} \\ $$$${M}\:\mathrm{and}\:{N}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{locus}\:\mathrm{of}\:\mathrm{the}\:\mathrm{point}\:\mathrm{of} \\ $$$$\mathrm{intersection}\:\mathrm{of}\:\mathrm{the}\:\mathrm{lines}\:{AN}\:\mathrm{and}\:{BM}. \\ $$ Answered by ajfour last updated…