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attashe74 [19]
3 years ago
14

sarah, natasha and richard share some sweets in the ratio 5:2:4. sarah gets 60 sweets. how many did richard get?​

Mathematics
1 answer:
Sindrei [870]3 years ago
6 0

Answer:

48 sweets

Step-by-step explanation:

5:2:4

Sarah: 5

Natasha:2

Richard:4

To find out how many sweets Richard got, we need to use 60 as the lcm. Since, we have a definite constant of 60 we need to divide it by the presiding ratio.

60/5 = 12

That means for a ratio of 1, everyone in the group recieves 12.

Now, we plug it in for each of the members.

5x = Sarah

2x = Natasha

4x = Richard

Sarah = 60 sweets

Natasha = 24 sweets

Richard = 48 sweets

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Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi
Leona [35]

Answer:

The general solution of   cos x = cos(\frac{\pi }{6})   is  

                                                x = 2nπ±\frac{\pi }{6}

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Step-by-step explanation:

Explanation:-

Given equation is  

                              2cosx-\sqrt{3} =0  for 0

                              2cosx =\sqrt{3}

Dividing '2' on both sides, we get

                             cos x =\frac{\sqrt{3} }{2}

                             cos x = cos(\frac{\pi }{6})

<em>General solution of cos θ = cos ∝ is θ = 2nπ±∝</em>

<em>Now The general solution of   </em>cos x = cos(\frac{\pi }{6})<em>   is  </em>

<em>                                                 x = 2nπ±</em>\frac{\pi }{6}<em></em>

put n=0

x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Put n=1  

x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}

x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}

put n=2

x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}

x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}

And so on

But given 0 < x< 2π

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

                               

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