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mash [69]
4 years ago
15

Xavier wants to distribute his baseball card collection evenly among his 8 younger brothers. What equation can be used to find c

, the number of baseball cards each of his brothers will get it if he has 96 cards to give away?

Mathematics
1 answer:
defon4 years ago
4 0
This would be D:).... C = the number of cards his brothers each get. 

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Anettt [7]

Answer:

\tan \dfrac{\theta}2 = \dfrac{1}2

Step by step Explanation:

\sin \theta = \dfrac{\text{Perpendicular} }{\text{Hypotenuse}} = \dfrac{12}{15}\\\\\\\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}= \dfrac{9}{15}\\\\\text{Now,}\\\\\tan \dfrac{\theta}2 = \dfrac{\sin \tfrac{\theta}2}{\cos \tfrac{\theta}2}\\\\\\~~~~~~~~=\dfrac{2\cos \tfrac{\theta}2 \sin \tfrac{\theta}2 }{2\cos^2 \tfrac{\theta}2}~~~~~~;\left[\text{Multiply by}~ 2\cos\tfrac{\theta}2 \right]

         =\dfrac{\sin \theta}{1+ \cos \theta}~~~~~~~~~~~~;[2 \sin x \cos x = \sin 2x ~ \text{and}~ 2\cos^2 x =1+\cos 2x]\\\\\\=\dfrac{\tfrac{12}{15}}{1+ \tfrac{9}{15}}\\\\\\=\dfrac{\tfrac{12}{15}}{\tfrac{24}{15}}\\\\\\=\dfrac{12}{15}\times \dfrac{15}{24}\\\\\\=\dfrac{12}{24}\\\\\\=\dfrac{1}2

4 0
2 years ago
There are 10,000 people at a concert.
frozen [14]

Answer:

62.5%

Step-by-step explanation:

Total number of people at the concert = 10000

Number of adults = 6250

Percentage of adults = number of adults/ total number of people at the concert x 100%

That’s

6250/10000 x 100%

0.625 x 100%

62.5%

62.5% of the people at the concert are adults

4 0
3 years ago
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