Matematică, întrebare adresată de Utilizator anonim, 8 ani în urmă

va rog urgenta exercițiul 2 a,b,c,d,e.dau coroana

Anexe:

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Răspuns de AMelaniaa
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a)ma =  \frac{6 + 54}{2}  =  \frac{60}{2}  = 30 \\ mg =  \sqrt{6 \times 54 }  = radical  din 324=18 \\ mh =  \frac{2 \times 6 \times 54}{6 + 54}  =  \frac{648}{60} = 10.8

b)ma =  \frac{ \frac{1}{4} +  \frac{1}{9}  }{2}  =  \frac{ \frac{9}{36} +  \frac{4}{36}  }{2}  =  \frac{ \frac{13}{36} }{2}  =  \frac{13}{36}  \times  \frac{1}{2}  =  \frac{13}{72}  \\ mg =  \sqrt{ \frac{1}{4}  \times  \frac{1}{9} }  =  \sqrt{ \frac{1}{36} }  =  \sqrt{ \frac{1}{ {6}^{2} } }  =  \frac{1}{6} \\ mh =  \frac{2 \times  \frac{1}{4}  \times  \frac{1}{9} }{ \frac{1}{4} +  \frac{1}{9}  }  =  \frac{ \frac{2}{36} }{ \frac{13}{36} } =  \frac{2}{36}  \times  \frac{36}{13}  =  \frac{2}{13}

c)ma =  \frac{5 + 7.2}{2}  =  \frac{12.2}{2}  = 6.1 \\ mg =  \sqrt{5 \times 7.2}  =  \sqrt{36 }   = 6 \\ mh =  \frac{2 \times 5 \times 7.2}{5 + 7.2}  =  \frac{72}{12.2}  = 5.9

d)ma =  \frac{25 \sqrt{3}  + 12 \sqrt{3} }{2}  =  \frac{37 \sqrt{3} }{2}  = 18.5 \sqrt{3}  \\ mg =  \sqrt{25 \sqrt{ 3 } \times 12 \sqrt{3}  }  =  \sqrt{25 \times 12 \times 3}  =  \sqrt{900}  = 30 \\ mh =  \frac{2 \times 25 \sqrt{3} \times 12 \sqrt{3}  }{25 \sqrt{3} + 12 \sqrt{3}  }  =  \frac{1800}{37 \sqrt{3} }  =  \frac{1800 \sqrt{3} }{111}

e)ma =  \frac{ \sqrt{2}  +  \sqrt{8} }{2}  =   \frac{ \sqrt{2} +  \sqrt{ {2}^{3} }  }{2} =\frac{ \sqrt{2} + 2 \sqrt{2}  }{2}  =  \frac{3 \sqrt{2}  }{2} \\ mg =  \sqrt{ \sqrt{2} \times  \sqrt{8}  }  =  \sqrt{ \sqrt{2}  \times 2 \sqrt{2} }  =  \sqrt{2 \times 2 }  =  \sqrt{4}  = 2 \\ mh =  \frac{2 \times  \sqrt{2}  \times  \sqrt{8} }{ \sqrt{2} +  \sqrt{8}  }  =  \frac{2 \times  \sqrt{2} \times 2 \sqrt{2}  }{ \sqrt{2}  + 2 \sqrt{2} }  =  \frac{8}{3 \sqrt{2} }  =  \frac{8 \sqrt{2} }{6}  =  \frac{4 \sqrt{2} }{3}

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