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Author: Tinku Tara

A-sum-of-2800-is-invested-partly-at-5-and-partly-at-4-If-the-total-income-is-128-per-annum-find-the-amount-invested-at-5-

Question Number 203825 by necx122 last updated on 29/Jan/24 $${A}\:{sum}\:{of}\:\mathrm{2800}\:{is}\:{invested},\:{partly}\:{at}\:\mathrm{5\%} \\ $$$${and}\:{partly}\:{at}\:\mathrm{4\%}.\:{If}\:{the}\:{total}\:{income} \\ $$$${is}\:\mathrm{128}\:{per}\:{annum},\:{find}\:{the}\:{amount} \\ $$$${invested}\:{at}\:\mathrm{5\%}. \\ $$ Answered by esmaeil last updated on 29/Jan/24…

Evaluate-26-15-3-1-3-26-15-3-1-3-

Question Number 203826 by necx122 last updated on 29/Jan/24 $${Evaluate} \\ $$$$\left(\mathrm{26}\:+\:\mathrm{15}\sqrt{\mathrm{3}}\right)^{\mathrm{1}/\mathrm{3}} +\:\left(\mathrm{26}\:−\:\mathrm{15}\sqrt{\mathrm{3}}\right)^{\mathrm{1}/\mathrm{3}} \\ $$ Answered by AST last updated on 29/Jan/24 $${Let}\:{a}=\sqrt[{\mathrm{3}}]{\mathrm{26}+\mathrm{15}\sqrt{\mathrm{3}}};{b}=\sqrt[{\mathrm{3}}]{\mathrm{26}−\mathrm{15}\sqrt{\mathrm{3}}}\Rightarrow{ab}=\mathrm{1} \\ $$$${a}^{\mathrm{3}}…

The-sum-of-all-possible-products-taken-two-at-a-time-out-of-the-numbers-1-2-3-4-is-a-0-b-30-c-30-d-55-

Question Number 203788 by BaliramKumar last updated on 28/Jan/24 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{all}\:\mathrm{possible}\:\mathrm{products}\:\mathrm{taken}\:\mathrm{two}\:\mathrm{at}\: \\ $$$$\mathrm{a}\:\mathrm{time}\:\:\mathrm{out}\:\mathrm{of}\:\mathrm{the}\:\mathrm{numbers}\:\pm\mathrm{1},\:\pm\mathrm{2},\:\pm\mathrm{3},\:\pm\mathrm{4}\:\mathrm{is} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{b}\right)\:−\mathrm{30}\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{c}\right)\:\mathrm{30}\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{d}\right)\:\mathrm{55} \\ $$ Answered by mr W last updated on 28/Jan/24 $${to}\:{take}\:{two}\:{from}\:\mathrm{8}\:{there}\:{are}\:…

Question-203803

Question Number 203803 by ajfour last updated on 28/Jan/24 Answered by ajfour last updated on 28/Jan/24 $$\mathrm{2}{s}^{\mathrm{2}} =\left({b}^{\mathrm{2}} +{c}^{\mathrm{2}} \right)−\left(\frac{{h}−{k}}{{h}+{k}}\right)\left({b}^{\mathrm{2}} −{c}^{\mathrm{2}} \right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:−\frac{\mathrm{2}{hk}}{\left({h}+{k}\right)^{\mathrm{2}} }\left({a}^{\mathrm{2}}…

Question-203794

Question Number 203794 by mr W last updated on 28/Jan/24 Commented by mr W last updated on 28/Jan/24 $${a}\:{triangual}\:{uniform}\:{thin}\:{rod}\:{frame}\: \\ $$$${with}\:{side}\:{lengthes}\:\boldsymbol{{a}},\:\boldsymbol{{b}},\:\boldsymbol{{c}}\:{and}\:{mass}\: \\ $$$$\boldsymbol{{M}}\:{is}\:{suspended}\:{through}\:{three}\:{thin} \\ $$$${strings}\:{with}\:{lengthes}\:\boldsymbol{{p}},\:\boldsymbol{{q}},\:\boldsymbol{{r}}\:{at}\:{its}…