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iris [78.8K]
3 years ago
8

The Cobb family decided to go roller skating for their reunion. There were a total of 44 people there and all went roller skatin

g. If an adult admission was $5.00 and a child s admission was $3.00 and they paid a total of $168.00, how many children were at the reunion? thank you
Mathematics
1 answer:
Zigmanuir [339]3 years ago
4 0
x-children\\\\y-adults\\\\ \left \{ {{x+y=44\ \ -->x=44-y} \atop {3*x+5*y=168}\ \ \ \ \ \ \ \ \ \ } \right.  \\\\
Substitution\ method\ \\\\3(44-y)+5y=168\\\\132-3y+5y=168\\\\2y=168-132\\\\2y=36 \ \ |:2\\\y=18\\\x=44-y=44-18=26\\\\There \ were\ 26\ children.
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Find the value of sin(a/2) if cosa= 12/13<br>​
daser333 [38]

Answer: sin\frac{a}{2} = ± \frac{1}{\sqrt{26} }

Step-by-step explanation:

We very well know that,

cos2A=1−2sin²A

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Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.

hope it helped!

   

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