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A-father-with-8-children-takes-3-at-a-time-to-the-garden-as-often-as-he-without-taking-the-same-3-children-together-more-than-once-The-number-of-times-he-will-go-to-the-garden-is-

Question Number 63490 by kumaranjul306@gmail.com last updated on 04/Jul/19 $$\mathrm{A}\:\mathrm{father}\:\mathrm{with}\:\mathrm{8}\:\mathrm{children}\:\mathrm{takes}\:\mathrm{3}\:\mathrm{at}\:\mathrm{a}\: \\ $$$$\mathrm{time}\:\mathrm{to}\:\mathrm{the}\:\mathrm{garden}\:\mathrm{as}\:\mathrm{often}\:\mathrm{as}\:\mathrm{he} \\ $$$$\mathrm{without}\:\mathrm{taking}\:\mathrm{the}\:\mathrm{same}\:\mathrm{3}\:\mathrm{children} \\ $$$$\mathrm{together}\:\mathrm{more}\:\mathrm{than}\:\mathrm{once}.\:\mathrm{The}\:\mathrm{number} \\ $$$$\mathrm{of}\:\mathrm{times}\:\mathrm{he}\:\mathrm{will}\:\mathrm{go}\:\mathrm{to}\:\mathrm{the}\:\mathrm{garden}\:\mathrm{is} \\ $$ Commented by Prithwish sen last…

The-sides-of-a-hexagon-are-enlarged-by-three-times-Find-the-ratio-of-the-areas-of-the-new-and-old-hexagon-

Question Number 63016 by TB last updated on 27/Jun/19 $$\mathrm{The}\:\mathrm{sides}\:\mathrm{of}\:\mathrm{a}\:\mathrm{hexagon}\:\mathrm{are}\:\mathrm{enlarged}\:\mathrm{by}\: \\ $$$$\mathrm{three}\:\mathrm{times}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{ratio}\:\mathrm{of}\:\mathrm{the}\:\mathrm{areas} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{new}\:\mathrm{and}\:\mathrm{old}\:\mathrm{hexagon} \\ $$ Answered by MJS last updated on 28/Jun/19 $$\mathrm{no}\:\mathrm{matter}\:\mathrm{which}\:\mathrm{shape}\:\mathrm{you}\:\mathrm{enlarge} \\…

If-tan-2-tan-1-then-

Question Number 62983 by hovea cw last updated on 27/Jun/19 $$\mathrm{If}\:\:\:\mathrm{tan}\:\mathrm{2}\theta\:\mathrm{tan}\:\theta\:=\:\mathrm{1},\:\mathrm{then}\:\theta\:= \\ $$ Answered by Hope last updated on 27/Jun/19 $${tan}\mathrm{2}\theta={cot}\theta={tan}\left(\frac{\pi}{\mathrm{2}}−\theta\right) \\ $$$${formula} \\ $$$$\left[{tan}\alpha={tan}\beta\:\:\:\alpha={n}\pi+\beta\right]…

The-number-of-real-solutions-of-the-equation-9-10-x-3-x-x-2-is-

Question Number 62612 by hovea cw last updated on 23/Jun/19 $$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{real}\:\mathrm{solutions}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{equation}\:\left(\frac{\mathrm{9}}{\mathrm{10}}\right)^{{x}} =\:−\mathrm{3}+{x}−{x}^{\mathrm{2}} \:\:\:\:\:\mathrm{is} \\ $$ Answered by tanmay last updated on 23/Jun/19 $$−\mathrm{3}+{x}−{x}^{\mathrm{2}}…

Find-the-value-of-x-in-1-x-1-1-x-2-3-x-3-

Question Number 62610 by hovea cw last updated on 23/Jun/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x}\:\mathrm{in} \\ $$$$\frac{\mathrm{1}}{{x}−\mathrm{1}}\:+\:\frac{\mathrm{1}}{{x}−\mathrm{2}}\:=\:\frac{\mathrm{3}}{{x}−\mathrm{3}}\:\:. \\ $$ Commented by mathmax by abdo last updated on 24/Jun/19 $${the}\:{set}\:{of}\:{definition}\:{for}\:{this}\:\left({e}\right)\:{is}\:{D}\:={R}−\left\{\mathrm{1},\mathrm{2},\mathrm{3}\right\}…

If-and-are-the-roots-of-x-2-a-1-x-1-2-a-2-a-1-0-then-2-2-

Question Number 62611 by hovea cw last updated on 23/Jun/19 $$\mathrm{If}\:\alpha\:\mathrm{and}\:\beta\:\mathrm{are}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of} \\ $$$${x}^{\mathrm{2}} −\left({a}+\mathrm{1}\right){x}+\frac{\mathrm{1}}{\mathrm{2}}\left({a}^{\mathrm{2}} +{a}+\mathrm{1}\right)=\mathrm{0}\:\mathrm{then} \\ $$$$\alpha^{\mathrm{2}} +\beta^{\mathrm{2}} =\_\_\_\_\_. \\ $$ Commented by Prithwish sen…

If-5-x-4-y-4-and-2-x-4-y-10-then-find-x-and-y-

Question Number 62609 by hovea cw last updated on 23/Jun/19 $$\mathrm{If}\:\:\mathrm{5}\mid{x}\mid\:+\:\mathrm{4}\mid{y}\mid\:=\:\mathrm{4}\:\mathrm{and}\:\mathrm{2}\mid{x}\mid\:−\:\mathrm{4}\mid{y}\mid\:=\:\mathrm{10}, \\ $$$$\mathrm{then}\:\mathrm{find}\:{x}\:\mathrm{and}\:{y}. \\ $$ Answered by $@ty@m last updated on 23/Jun/19 $${Let}\:\mid{x}\mid={a}\:\&\mid{y}\mid={b} \\ $$$$\mathrm{5}{a}+\mathrm{4}{b}=\mathrm{4}\:\:…