3 years ago

Please Hurry

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

6 0

Show us the graph please then I’ll be able to help

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Diana got back her math quiz but Ms. Signer forgot to calculate her final grade. If the quiz had a total of 20 questions on it,

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Of the 420 students enrolled in basic math only 41% are first-year students. How many

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Step-by-step explanation:

There are 420 students.

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4 years ago

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VladimirAG [237]

Here's the solution,

<u>figure</u> 1.

by using trigonometry,

=》

$\sin(60) = \dfrac{5 \sqrt{3} }{y}$

=》

$\dfrac{ \sqrt{3} }{2} = \dfrac{5 \sqrt{3} }{y}$

=》

$\dfrac{1}{y} = \dfrac{ \sqrt{3} }{2 \times 5 \sqrt{3} }$

=》

$\dfrac{1}{y} = \dfrac{1}{10}$

=》

$y = 10$

And,

=》

$\cos(60) = \dfrac{w}{y}$

=》

$\dfrac{1}{2} = \dfrac{w}{10}$

=》

$w = 5$

So, values are :

y = 10
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<u>figure</u> 2.

Since, it's an isosceles triangle, w = y,

So, by pythagoras theorem :

=》

${w}^{2} + {y}^{2} = (7 \sqrt{2} ) {}^{2}$

=》

${w}^{2} + {w}^{2} = 98$

=》

$2 {w}^{2} = 98$

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${w}^{2} = 49$

=》

$w = \sqrt{49}$

=》

$w = 7$

and we know, w = y, so their values will be equal to 7 units.

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3 years ago