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3 years ago

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A metal alloy weighing 10 kg and containing 13% copper is melted and mixed with 4 kg of a different alloy which contains 83% cop

per. What percent of the resulting alloy is copper?

1 answer:

Vinil7 [7]3 years ago

4 0

Answer:

33%

Step-by-step explanation:

(13*10)+(83*4)=(14*x)

130+332=14x

462=14x

x=33

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Dmitry [639]

Note that
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Note that
$x= \frac{ \pi }{4}:\,\, sin(x) =cos(x)= \frac{1}{ \sqrt{2} },\,tan(x)=1\\x= \frac{7 \pi }{6} :\,\,sin(x)=- \frac{1}{2} ,\,\,cos(x)=- \frac{ \sqrt{3} }{2} ,\,\,tan(x)= \frac{1}{ \sqrt{3} }$

Use the identity
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$tan( \frac{17 \pi }{12} )= \frac{1+ \frac{1}{ \sqrt{3} } }{1- \frac{1}{ \sqrt{3} } } = \frac{ \sqrt{3}+1 }{ \sqrt{3}-1} = \frac{( \sqrt{3}+1 )^{2}}{( \sqrt{3}-1 )( \sqrt{3}+1 )} = \frac{3+1+2 \sqrt{3}}{3-1} =2+ \sqrt{3}$

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Bella wants to tile a wall measuring 1.2 m by 2.16 m. She finds square tiles she likes with side lengths of 10 cm, 12 cm or 18 c

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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