Question Number 204970 by mr W last updated on 04/Mar/24 Commented by mr W last updated on 04/Mar/24 $${the}\:{vertices}\:{of}\:{triangle}\:{PQR}\:{lie}\:{on} \\ $$$${each}\:{of}\:{the}\:{three}\:{touching}\:{circles} \\ $$$${with}\:{radii}\:{a},\:{b},\:{c}\:{respectively}. \\ $$$${find}\:{the}\:{maximum}\:{area}\:{of}\:{the}…
Question Number 204944 by mr W last updated on 02/Mar/24 Commented by mr W last updated on 03/Mar/24 $${the}\:{distances}\:{from}\:{a}\:{point}\:{inside} \\ $$$${a}\:{triangle}\:{to}\:{its}\:{vertexes}\:{are}\:{p},\:{q},\:{r} \\ $$$${respectively}.\:{find}\:{the}\:{maximum} \\ $$$${area}\:{of}\:{the}\:{triangle}\:{and}\:{its}\:{sides}.…
Question Number 204890 by mr W last updated on 29/Feb/24 Commented by mr W last updated on 29/Feb/24 $${ABCD}\:{is}\:{a}\:{square}\:{with}\:{side}\:{length}\:\mathrm{2}. \\ $$$${E}\:{is}\:{midpoint}\:{of}\:{CD},\:{F}\:{is}\:{midpoint} \\ $$$${of}\:{AD}.\:{find}\:{AP}. \\ $$…
Question Number 204873 by necx122 last updated on 29/Feb/24 $${The}\:{figure}\:{below}\:{represents}\:{a}\:{design} \\ $$$${on}\:{the}\:{windows}\:{of}\:{a}\:{building}.\:{The} \\ $$$${curved}\:{part}\:{XY}\:{is}\:{an}\:{arc}\:{of}\:{a}\:{circle}. \\ $$$${The}\:{rise}\:{of}\:{the}\:{segmental}\:{arc}\:{is}\:\mathrm{10}{cm}, \\ $$$${its}\:{span}\:{is}\:\mathrm{100}{cm}\:{and}\:{XZ}={ZY}=\mathrm{120}{cm}. \\ $$$${calculate}: \\ $$$$\left({i}\right)\:{the}\:{radius}\:{of}\:{the}\:{circle} \\ $$$$\left({ii}\right)\:{the}\:{area}\:{of}\:{the}\:{segmental}\:{cap}, \\…
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Question Number 204541 by necx122 last updated on 21/Feb/24 $${In}\:{a}\:{regular}\:{pentagon}\:{PQRST}\:,\:{PR} \\ $$$${intersects}\:{QS}\:{at}\:{O}.\:{Calculate}\:{ROS}? \\ $$ Commented by som(math1967) last updated on 21/Feb/24 $$\measuredangle{ROS}=\mathrm{72}° \\ $$ Commented…
Question Number 204560 by mr W last updated on 21/Feb/24 Commented by mr W last updated on 21/Feb/24 $${AC}={BD} \\ $$$${find}\:\angle{B}=? \\ $$ Answered by…
Question Number 204521 by explorerapollo last updated on 20/Feb/24 Commented by TonyCWX08 last updated on 20/Feb/24 $${I}\:{don}'{t}\:{understand}\:{your}\:{request}\:{here}. \\ $$ Answered by mr W last updated…
Question Number 204505 by cherokeesay last updated on 19/Feb/24 Answered by mr W last updated on 19/Feb/24 $$\left[\sqrt{\left(\mathrm{2}−{r}\right)^{\mathrm{2}} −{r}^{\mathrm{2}} }−\mathrm{1}\right]^{\mathrm{2}} +\left(\mathrm{1}−{r}\right)^{\mathrm{2}} ={r}^{\mathrm{2}} \\ $$$$\left[\mathrm{2}\sqrt{\mathrm{1}−{r}}−\mathrm{1}\right]^{\mathrm{2}} =\mathrm{2}{r}−\mathrm{1}…
Question Number 204433 by emilagazade last updated on 17/Feb/24 Commented by emilagazade last updated on 17/Feb/24 $${find}\:{max}\:{value}\:{for}\:\mid{DB}\mid+\mid{BC}\mid \\ $$ Answered by deleteduser1 last updated on…