Răspuns:
f) [tex]1\frac{1}{7} =\frac{8}{7}[/tex]
[tex]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}[/tex]
[tex]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}[/tex]
[tex]ma=\frac{\frac{125)8}{7}+\frac{7)3}{125}}{2} =\frac{1021}{875}*\frac{1}{2}=\frac{1021}{1750}[/tex]
[1021, 175, 1750}=1021*1750=1786750
[tex]mh=\frac{1750)48}{1021}=\frac{84000}{1786750}[/tex]
[tex]mg=\frac{10210)4\sqrt{35}}{175}=\frac{40840\sqrt{35}}{1786750} =\frac{40840*5.91}{1786750} =\frac{241364,4}{1786750}[/tex]
[tex]ma=\frac{1021)1021}{1750} \frac{1042441}{1786750}[/tex]
mh≤mg≤ma
g) [tex]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}[/tex]
[tex]mg=\sqrt{\frac{8}{125}*\frac{5}{2}} =\sqrt{\frac{4}{25}} =\frac{2}{5}[/tex]
[tex]ma=\frac{\frac{8}{125}+\frac{5}{2}}{2}=\frac{641}{125}*\frac{1}{2}=\frac{641}{500}[/tex]
[641, 5, 500]=641*500=320500
[tex]mh=\frac{500)80}{641} \frac{40000}{320500}[/tex]
[tex]mg=\frac{64100)2}{5} =\frac{128200}{320500}[/tex]
[tex]ma=\frac{641)641}{500} =\frac{410881}{320500}[/tex]
mh≤mg≤ma
h) [tex]0.36=\frac{9}{25}[/tex]
[tex]0.64=\frac{16}{25}[/tex]
[tex]mh=\frac{2\frac{9}{25}*\frac{16}{25}}{\frac{9}{25}+\frac{16}{25}} =\frac{288}{625} *\frac{25}{25} =\frac{288}{625}[/tex]
[tex]mg=\sqrt{\frac{9}{25} *\frac{16}{25}} =\frac{3}{5} *\frac{4}{5}= \frac{12}{25}[/tex]
[tex]ma=\frac{\frac{9}{25}+\frac{16}{25}}{2} =\frac{1}{2}[/tex]
{625, 25, 2}=625*2=1250
[tex]mh=\frac{2)288}{625} =\frac{576}{1250}[/tex]
[tex]mg=\frac{50)12}{25} =\frac{600}{1250}[/tex]
[tex]ma=\frac{625)1}{2} =\frac{625}{1250}[/tex]
mh≤mg≤ma
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