Question

ex 2 . dau coroana.
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Answer 1

Răspuns:

a) Mp = 5√6

b) Mp = 59/120

Explicație pas cu pas:

a)

$Mp = \frac{4*2\sqrt{6} + 6*7\sqrt{6} }{4+6} = \frac{8\sqrt{6}+42\sqrt{6} }{10} = \frac{50\sqrt{6} }{10} = 5\sqrt{6}$

b)

Prelucrăm puțin pe b:

$b=1\frac{1}{4} = \frac{4+1}{4} = \frac{5}{4}$

$Mp = \frac{3*\frac{5}{4} + 7*\frac{1}{6} }{3+7} = \frac{\frac{15}{4} + \frac{7}{6} }{10} = \frac{\frac{3*15 + 2*7}{12} }{10} = \frac{45+14}{12} * \frac{1}{10} = \frac{59}{120}$

Answer 2

$\it a)\ m_{a.p.}=\dfrac{4\cdot2\sqrt6+6\cdot7\sqrt6}{4+6}=\dfrac{50\sqrt6}{10}=5\sqrt6\\ \\ \\ b)\ m_{a.p.}=\dfrac{3\cdot\dfrac{5}{4}+7\cdot\dfrac{1}{6}}{3+7}=\dfrac{\dfrac{^{3)}15}{\ 4}+\dfrac{^{2)}7}{\ 6}}{10}=\dfrac{45+14}{10\cdot12}=\dfrac{59}{120}$