Question

F G H va rog frumos​

Answer 1

Răspuns:

f) $1\frac{1}{7} =\frac{8}{7}$

$mh=\frac{2\frac{8}{7}*\frac{3}{125} }{\frac{5)8}{7}+\frac{7)3}{125} } =\frac{2\frac{24}{875}}{\frac{1000+21}{875}}=\frac{48}{1021}$

$mg=\sqrt{\frac{8}{7}*\frac{3}{125}} =\sqrt{\frac{24}{875}}=\frac{\sqrt{35}) 4\sqrt{3}}{5\sqrt{35}}  =\frac{4\sqrt{105}}{175}$

$ma=\frac{\frac{125)8}{7}+\frac{7)3}{125}}{2} =\frac{1021}{875}*\frac{1}{2}=\frac{1021}{1750}$

[1021, 175, 1750}=1021*1750=1786750

$mh=\frac{1750)48}{1021}=\frac{84000}{1786750}$

$mg=\frac{10210)4\sqrt{35}}{175}=\frac{40840\sqrt{35}}{1786750} =\frac{40840*5.91}{1786750} =\frac{241364,4}{1786750}$

$ma=\frac{1021)1021}{1750} \frac{1042441}{1786750}$

mh≤mg≤ma

g) $mh=\frac{2\frac{8}{125} *\frac{5}{2} }{\frac{8}{125}+\frac{5}{2}} =\frac{2\frac{40}{250}}{\frac{641}{250}} =\frac{80}{641}$

$mg=\sqrt{\frac{8}{125}*\frac{5}{2}} =\sqrt{\frac{4}{25}} =\frac{2}{5}$

$ma=\frac{\frac{8}{125}+\frac{5}{2}}{2}=\frac{641}{125}*\frac{1}{2}=\frac{641}{500}$

[641, 5, 500]=641*500=320500

$mh=\frac{500)80}{641} \frac{40000}{320500}$

$mg=\frac{64100)2}{5} =\frac{128200}{320500}$

$ma=\frac{641)641}{500} =\frac{410881}{320500}$

mh≤mg≤ma

h) $0.36=\frac{9}{25}$

$0.64=\frac{16}{25}$

$mh=\frac{2\frac{9}{25}*\frac{16}{25}}{\frac{9}{25}+\frac{16}{25}} =\frac{288}{625} *\frac{25}{25}  =\frac{288}{625}$

$mg=\sqrt{\frac{9}{25} *\frac{16}{25}} =\frac{3}{5} *\frac{4}{5}= \frac{12}{25}$

$ma=\frac{\frac{9}{25}+\frac{16}{25}}{2} =\frac{1}{2}$

{625, 25, 2}=625*2=1250

$mh=\frac{2)288}{625} =\frac{576}{1250}$

$mg=\frac{50)12}{25} =\frac{600}{1250}$

$ma=\frac{625)1}{2} =\frac{625}{1250}$

mh≤mg≤ma

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