Question Number 147355 by legand last updated on 20/Jul/21 Answered by ArielVyny last updated on 20/Jul/21 $${the}\:{question}\:{is}\:{not}\:{complete}\:{sir} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 16281 by Tinkutara last updated on 20/Jun/17 $$\mathrm{A}\:\mathrm{plane}\:\mathrm{moves}\:\mathrm{in}\:\mathrm{windy}\:\mathrm{weather}\:\mathrm{due} \\ $$$$\mathrm{east}\:\mathrm{while}\:\mathrm{the}\:\mathrm{pilot}\:\mathrm{points}\:\mathrm{the}\:\mathrm{plane} \\ $$$$\mathrm{somewhat}\:\mathrm{south}\:\mathrm{of}\:\mathrm{east}.\:\mathrm{The}\:\mathrm{wind}\:\mathrm{is} \\ $$$$\mathrm{blowing}\:\mathrm{at}\:\mathrm{50}\:\mathrm{km}/\mathrm{hr}\:\mathrm{directed}\:\mathrm{30}°\:\mathrm{east} \\ $$$$\mathrm{of}\:\mathrm{north},\:\mathrm{while}\:\mathrm{the}\:\mathrm{plane}\:\mathrm{moves}\:\mathrm{at}\:\mathrm{200} \\ $$$$\mathrm{km}/\mathrm{hr}\:\mathrm{relative}\:\mathrm{to}\:\mathrm{the}\:\mathrm{wind}.\:\mathrm{What}\:\mathrm{is} \\ $$$$\mathrm{the}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{the}\:\mathrm{plane}\:\mathrm{relative}\:\mathrm{to}\:\mathrm{the} \\ $$$$\mathrm{ground}\:\mathrm{and}\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{direction}\:\mathrm{in} \\…
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Question Number 147349 by bramlexs22 last updated on 20/Jul/21 $$\:\:\:\:\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{x}\left(\mathrm{1}−\mathrm{cos}\:\mathrm{x}\right)}{\mathrm{x}^{\mathrm{2}} +\mathrm{x}−\mathrm{e}^{\mathrm{x}} \:\mathrm{sin}\:\mathrm{x}}\:=? \\ $$ Commented by bramlexs22 last updated on 20/Jul/21 Commented by EDWIN88…
Question Number 16277 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 20/Jun/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 20/Jun/17 $${in}\:{triangle}:{A}\overset{\Delta} {{B}C},{consteact}\:\mathrm{3}\:{equilateral} \\ $$$${triangle}\:{on}\:{each}\:{sides}. \\ $$$${prove}\:{that}:\:\:{AL}={BM}={CN}\:. \\ $$ Answered…
Question Number 147344 by mathdanisur last updated on 20/Jul/21 $$\underset{{n}\rightarrow\infty} {{lim}}\:\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:{log}\:\left(\frac{\mathrm{1}+{sin}^{\boldsymbol{{n}}} \boldsymbol{{x}}}{\mathrm{1}+{x}+{x}^{\boldsymbol{{n}}} }\right){dx}\:=\:? \\ $$ Answered by mathmax by abdo last updated on…
Question Number 16273 by Tinkutara last updated on 20/Jun/17 $$\mathrm{If}\:\mathrm{in}\:\Delta{ABC}\:{r}_{\mathrm{1}} \:=\:{r}_{\mathrm{2}} \:+\:{r}_{\mathrm{3}} \:+\:{r},\:\mathrm{prove} \\ $$$$\mathrm{that}\:\mathrm{triangle}\:\mathrm{is}\:\mathrm{right}\:\mathrm{angled}. \\ $$ Commented by mrW1 last updated on 20/Jun/17 $$\mathrm{what}\:\mathrm{is}\:\mathrm{r},\mathrm{r}_{\mathrm{1}}…
Question Number 147346 by mnjuly1970 last updated on 20/Jul/21 Answered by qaz last updated on 20/Jul/21 $$\mathrm{a}_{\mathrm{n}} =\mathrm{2}\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \left(\mathrm{1}−\mathrm{sin}\:\mathrm{x}\right)^{\mathrm{n}} \mathrm{sin}\:\mathrm{xd}\left(\mathrm{sin}\:\mathrm{x}\right) \\ $$$$\Rightarrow\mathrm{a}_{\mathrm{n}} =\mathrm{2}\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 16271 by aalieff last updated on 20/Jun/17 $${The}\:{unemployment}\:{rate}\:{among}\:{workers} \\ $$$${under}\:\mathrm{25}\:{in}\:{a}\:{state}\:{went}\:{from}\:\mathrm{8}.\mathrm{2\%} \\ $$$${to}\:\mathrm{7}.\mathrm{5\%}\:{in}\:{one}\:{year}.\:{Assume}\:{an}\:{average} \\ $$$${of}\:\mathrm{1340200}\:{workers}\:{and}\:{estimate} \\ $$$${the}\:{decrease}\:{in}\:{the}\:{number}\:{unemployed}. \\ $$ Answered by mrW1 last updated…
Question Number 81804 by ajfour last updated on 15/Feb/20 Commented by ajfour last updated on 15/Feb/20 $${If}\:{tension}\:{in}\:{string},\:{T}=\frac{{mg}}{\mathrm{5}} \\ $$$${and}\:{rod}\:{rests}\:{in}\:{equilibrium}, \\ $$$${find}\:{length}\:{of}\:{string}. \\ $$ Answered by…