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Oxana [17]
2 years ago
11

the ratio of girls to boys in the six grade class is seven to six. If there are 84 girls, how many boys are in the six grade

Mathematics
1 answer:
padilas [110]2 years ago
4 0
There are 72 boys. 7:6 = 84:?, divide 84 by 7, you get 12. Multiply 6 by 12 to get the answer.
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Prove that sinA-sin3A+sin5A-sin7A/cosA-cos3A-cos5A+cos7A= cot2A
MAVERICK [17]
Write the left side of the given expression as N/D, where
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We shall use these identities:
sin x - sin y = 2cos((x+y)/2)*sin((x-y)/2)
cos x - cos y = -2sin((x+y)/2)*sin((x-y)2)

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D = cos7A + cosA - (cos5A + cos3A)
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Therefore
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4 0
3 years ago
Write the following function in standard form. Show your work. y=(x-5)(x+5)(2x-1)
Gnesinka [82]

Answer:

\boxed{y=4x^3-x^2-50x+25}


Step-by-step explanation:

The given function is


y=(x-5)(x+5)(2x-1)


Observe that, the first two factors are from difference of two squares.


\Rightarrow y=(x^2-5^2)(2x-1)


\Rightarrow y=(x^2-25)(2x-1)

We expand the brackets using the distributive property to obtain;

\Rightarrow y=2x^2(2x-1)-25(2x-1)


\Rightarrow y=4x^3-x^2-50x+25


The above function is now in standard form, since the terms are arranged in descending powers of x.



4 0
3 years ago
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