Răspuns :
Răspuns:
Explicație pas cu pas:
a)a=8/7 b=3/125
(a+b)/2=(8/7+3/125)/2=(8×125+3×7)/2×7×125=(1000+21)/1750=1021/1750
(a×b)²=8×3/7×5×25 mg=2/5√6/35=0,4√6/35
b) a=25√3 b=12√3
ma=(a+b)/2=(25√3+12√3)/2=37√3/2=18,5√3
mg²=(25√3×12√3)=5²×3×2²×3 mg=2×3×5=30
c)a=√2 b=2√2
ma=(√2+2√2)/2=3√2/2=1,5√2
mg²=√2×2√2=2×2 mg=2
Răspuns:
Explicație pas cu pas:
[tex]m_{a}= \frac{a +b}{2} \\ \\ m_{g} =\sqrt{ab} \\ \\ a) m_{a}= \frac{\frac{8}{7} +\frac{3}{125} }{2}=\frac{\frac{1021}{875} }{2} =\frac{1021}{1750\\ } \\\\ m_{g} =\sqrt\frac{8}{7}\frac{3}{125} =\frac{2}{5} \sqrt{\frac{6}{35} } =\frac{2\sqrt{210} }{175} \\ \\ b)m_{a}= \frac{25\sqrt{3} +12\sqrt{3} }{2} =\frac{37\sqrt{3} }{2} \\ \\ m_{g} =\sqrt{25\sqrt{3}12\sqrt{3} }=30\sqrt{3} \\ \\ c)m_{a}= \frac{\sqrt{2} +2\sqrt{2} }{2}=\frac{3\sqrt{2} }{2} \\ \\ m_{g} =\sqrt{\sqrt{2}2\sqrt{2} }=2[/tex]