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solve-the-system-of-linear-congruences-x-2-mod-3-x-4-mod-5-x-7-mod-9-x-11-mod-13-using-the-Brute-force-method-

Question Number 71838 by Rio Michael last updated on 20/Oct/19 $${solve}\:{the}\:{system}\:{of}\:{linear}\:{congruences}\: \\ $$$$\:{x}\:\equiv\:\mathrm{2}\:\left({mod}\:\mathrm{3}\right) \\ $$$${x}\:\equiv\:\mathrm{4}\left({mod}\:\mathrm{5}\right) \\ $$$${x}\:\equiv\:\mathrm{7}\:\left({mod}\:\mathrm{9}\right) \\ $$$${x}\equiv\:\mathrm{11}\left(\:{mod}\:\mathrm{13}\right) \\ $$$${using}\:{the}\:{Brute}\:{force}\:{method} \\ $$ Commented by…

If-75-of-68-is-the-same-as-85-of-n-find-n-

Question Number 137353 by mey3nipaba last updated on 01/Apr/21 $$\mathrm{If}\:\mathrm{75\%}\:\mathrm{of}\:\mathrm{68}\:\mathrm{is}\:\mathrm{the}\:\mathrm{same}\:\mathrm{as}\:\mathrm{85\%}\:\mathrm{of}\:\mathrm{n},\:\mathrm{find}\:\mathrm{n}. \\ $$ Answered by Rasheed.Sindhi last updated on 01/Apr/21 $$\mathrm{75\%}\:\mathrm{of}\:\mathrm{68}=\mathrm{85\%}\:\mathrm{of}\:\mathrm{n} \\ $$$$\mathrm{68}×\frac{\mathrm{75}}{\mathrm{100}}={n}×\frac{\mathrm{85}}{\mathrm{100}} \\ $$$$\mathrm{85}{n}=\mathrm{68}×\mathrm{75} \\…

An-alternating-current-after-passing-through-rectifire-has-the-form-i-I-0-sinx-for-0-x-pi-0-for-pi-x-2pi-where-I-0-is-the-maximum-current-and-period-is-

Question Number 137316 by BHOOPENDRA last updated on 01/Apr/21 $${An}\:{alternating}\:{current}\:{after}\:{passing}\: \\ $$$$\:{through}\:{rectifire}\:{has}\:{the} \\ $$$${form}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:{i}={I}_{\mathrm{0}} {sinx}\:\:\:\:\:\:{for}\:\mathrm{0}\leqslant{x}\leqslant\pi \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\:\:{for}\:\pi\leqslant{x}\leqslant\mathrm{2}\pi \\ $$$${where}\:{I}_{\mathrm{0}} \:{is}\:{the}\:{maximum}\:{current}\: \\ $$$${and}\:{period}\:{is}\:\mathrm{2}\pi.{express}\:{i}\:{is}\:{a}\: \\…

Decompose-the-function-P-x-x-4-2x-3-6x-2-20x-6-x-3-x-2-x-in-partial-fractions-

Question Number 137252 by mey3nipaba last updated on 31/Mar/21 $$\mathrm{Decompose}\:\mathrm{the}\:\mathrm{function}\:\mathrm{P}\left(\mathrm{x}\right)\:=\:\frac{\mathrm{x}^{\mathrm{4}} +\mathrm{2x}^{\mathrm{3}} +\mathrm{6x}^{\mathrm{2}} +\mathrm{20x}+\mathrm{6}}{\mathrm{x}^{\mathrm{3}} +\mathrm{x}^{\mathrm{2}} +\mathrm{x}}\: \\ $$$$\mathrm{in}\:\mathrm{partial}\:\mathrm{fractions}. \\ $$ Answered by bemath last updated on…

A-stone-is-thrown-vertically-upwards-with-velocity-20m-s-at-the-same-time-and-20m-vertically-above-a-second-stone-is-allowed-to-fall-After-whst-time-and-at-what-height-do-they-collide-take-

Question Number 6164 by sanusihammed last updated on 16/Jun/16 $${A}\:{stone}\:{is}\:{thrown}\:{vertically}\:{upwards}\:{with}\:{velocity}\:\mathrm{20}{m}/{s}. \\ $$$${at}\:{the}\:{same}\:{time}\:,\:{and}\:\mathrm{20}{m}\:{vertically}\:{above}\:.\:{a}\:{second}\:{stone}\:{is} \\ $$$${allowed}\:{to}\:{fall}.\:{After}\:{whst}\:{time}\:{and}\:{at}\:{what}\:{height}\:{do}\:{they}\: \\ $$$${collide}\:?. \\ $$$${take}\:\:{g}\:=\:\mathrm{10}{m}/{s}^{\mathrm{2}} \\ $$ Commented by prakash jain last…

Some-useful-approximations-of-sine-function-sin-pi-7-96-221-sin-pi-9-128-373-sin-pi-11-32-113-I-am-counting-more-thanking-you-

Question Number 137191 by Dwaipayan Shikari last updated on 30/Mar/21 $${Some}\:{useful}\:{approximations}\:{of}\:{sine}\:{function} \\ $$$${sin}\left(\frac{\pi}{\mathrm{7}}\right)=\frac{\mathrm{96}}{\mathrm{221}} \\ $$$${sin}\left(\frac{\pi}{\mathrm{9}}\right)=\frac{\mathrm{128}}{\mathrm{373}} \\ $$$${sin}\left(\frac{\pi}{\mathrm{11}}\right)=\frac{\mathrm{32}}{\mathrm{113}} \\ $$$$… \\ $$$${I}\:{am}\:{counting}\:{more}\:..{thanking}\:{you}! \\ $$ Terms of…

Question-about-Geogebra-I-have-drawn-a-circle-in-Geogebra-Now-I-want-to-fill-it-with-colour-because-I-need-a-circular-region-Is-there-a-way-Is-there-a-way-to-fill-with-colour-any-closed-figure-

Question Number 6076 by Rasheed Soomro last updated on 12/Jun/16 $${Question}\:{about}\:{Geogebra} \\ $$$$\bullet{I}\:{have}\:{drawn}\:{a}\:{circle}\:{in} \\ $$$${Geogebra}.\:{Now}\:{I}\:{want}\:{to} \\ $$$${fill}\:{it}\:{with}\:{colour}\:\left({because}\right. \\ $$$$\left.{I}\:{need}\:{a}\:{circular}\:{region}\right). \\ $$$${Is}\:{there}\:{a}\:{way}? \\ $$$$\bullet{Is}\:{there}\:{a}\:{way}\:{to}\:{fill}\:{with} \\ $$$${colour}\:{any}\:{closed}\:{figure}…