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Question-197771

Question Number 197771 by sonukgindia last updated on 28/Sep/23 Answered by som(math1967) last updated on 28/Sep/23 $${B}=\frac{\mathrm{1}}{\mathrm{2}}×{r}^{\mathrm{2}} +\mathrm{2}×\frac{\mathrm{45}}{\mathrm{360}}×\pi{r}^{\mathrm{2}} \\ $$$$=\frac{{r}^{\mathrm{2}} }{\mathrm{2}}+\frac{\pi{r}^{\mathrm{2}} }{\mathrm{4}}=\frac{{r}^{\mathrm{2}} }{\mathrm{2}}\left(\mathrm{1}+\frac{\pi}{\mathrm{2}}\right){squnit} \\ $$$${A}=\frac{\mathrm{1}}{\mathrm{2}}\pi{r}^{\mathrm{2}}…

a-3b-a-b-1-a-3b-1-a-b-3-4-a-b-

Question Number 197683 by sulaymonnorboyev140 last updated on 26/Sep/23 $$\frac{{a}+\mathrm{3}{b}}{{a}+{b}−\mathrm{1}}+\frac{{a}+\mathrm{3}{b}−\mathrm{1}}{{a}+{b}−\mathrm{3}}=\mathrm{4} \\ $$$${a}+{b}=? \\ $$ Commented by mr W last updated on 26/Sep/23 $${no}\:{unique}\:{solution}\:{for}\:{a}+{b}. \\ $$$${please}\:{check}\:{your}\:{question}!…

show-that-1-1-z-n-k-1-n-k-1-k-n-1-z-k-

Question Number 197639 by mokys last updated on 25/Sep/23 $${show}\:{that}\:\frac{\mathrm{1}}{\left(\mathrm{1}−{z}\right)^{{n}} }\:=\:\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left({n}+{k}−\mathrm{1}\right)!}{{k}!\left({n}−\mathrm{1}\right)!}\:{z}^{{k}} \\ $$ Commented by mr W last updated on 25/Sep/23 $$\frac{\mathrm{1}}{\left(\mathrm{1}−{z}\right)^{{n}} }=\underset{{k}=\mathrm{0}}…

For-the-past-10-years-M-has-deposited-40-at-the-end-of-each-month-in-as-saving-bank-paying-3-p-a-compoundedsemi-annually-If-they-polic-of-the-bank-is-to-place-eacht-deposi-at-3-p-a-simple-inte

Question Number 197666 by mondli212 last updated on 25/Sep/23 $$ \\ $$$$\mathrm{For}\:\mathrm{the}\:\mathrm{past}\:\mathrm{10}\:\mathrm{years}\:\mathrm{M}\:\mathrm{has}\:\mathrm{deposited} \\ $$$$\$\mathrm{40}\:\mathrm{at}\:\mathrm{the}\:\mathrm{end}\:\mathrm{of}\:\mathrm{each}\:\mathrm{month}\:\mathrm{in}\:\mathrm{as} \\ $$$$\mathrm{saving}\:\mathrm{bank}\:\mathrm{paying}\:\mathrm{3\%}\:\mathrm{p}.\mathrm{a}.\: \\ $$$$\mathrm{compoundedsemi}\:\mathrm{annually}.\:\mathrm{If}\:\mathrm{they} \\ $$$$\mathrm{polic}\:\mathrm{of}\:\mathrm{the}\:\mathrm{bank}\:\mathrm{is}\:\mathrm{to}\:\mathrm{place}\:\mathrm{eacht} \\ $$$$\mathrm{deposi}\:\mathrm{at}\:\mathrm{3}\:\%\mathrm{p}.\mathrm{a}.\:\mathrm{simple}\:\mathrm{interest}\:\mathrm{on}\:\mathrm{ther} \\ $$$$\mathrm{fist}\:\mathrm{of}\:\mathrm{each}\:\mathrm{month}\:\mathrm{and}\:\mathrm{compound}\:\mathrm{semi}\: \\…

Question-197635

Question Number 197635 by sonukgindia last updated on 25/Sep/23 Commented by mr W last updated on 26/Sep/23 $${it}'{s}\:{strange}!!! \\ $$$${even}\:{it}\:{is}\:{not}\:{said}\:{what}\:{the}\:{question} \\ $$$${is},\:{people}\:{gave}\:\mathrm{2}\:{likes}\:{to}\:{the}\:{question}.\: \\ $$$${what}\:{do}\:{these}\:{people}\:{like}? \\…

Question-197667

Question Number 197667 by SANOGO last updated on 25/Sep/23 Answered by Frix last updated on 26/Sep/23 $${X},\:{Y}\in\mathbb{R}^{\mathrm{3}} ,\:{r}\in\mathbb{R} \\ $$$$ \\ $$$$\left(\mathrm{1}\right)\:{N}\left({X}\right)=\mathrm{0}\:\Rightarrow\:{X}=\mathrm{0}\:\checkmark \\ $$$$\:\:\:\:\:{X}\neq\mathrm{0}\:\Leftrightarrow\:{x}_{\mathrm{1}} \neq\mathrm{0}\vee{x}_{\mathrm{2}}…