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3 years ago

Helppppppppp mathhhhhhhh

Mathematics

1 answer:

irina1246 [14]3 years ago

6 0

This right triangle with 30°, 60° and 90° is called semi equilateral. Its particularity is that the side opposite to 30° is equal half of the hypotenuse.

Here the longest leg is nothing but the hypotenuse =18.(given):
Let x be the side opposite to 60° and let's calculate it by Pytaghoras:

18² =(18/2)² + x²,

324 = 81 + x² . Subtract 81 from both sides

324 - 81 = 81 + x² - 81

243 = x² and x = √243 =9√3

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Amir pits £3035 into a bank account. The account pays 4% compound interest each year. Work out how much money amir will have in

myrzilka [38]

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$\£3840.2$

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3 years ago

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3 years ago

What are all of the real roots of the following polynomial? f(x) = x4 - 13x2 + 36

GREYUIT [131]

ANSWER

A. -3, -2, 2, and 3

EXPLANATION

The given polynomial function is,

$f(x) = {x}^{4} - 13 {x}^{2} + 36$

To find the real roots, we equate the function to zero to obtain;

${x}^{4} - 13 {x}^{2} + 36 = 0$

We can solve this equation as a quadratic equation in
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Thus we rewrite the equation as,

$({x}^{2})^{2} - 13 {x}^{2} + 36 = 0$

We split the middle term to get,

$({x}^{2})^{2} - 9 {x}^{2} - 4 {x}^{2} + 36 = 0.$

We factor to get,

${x}^{2} ( {x}^{2} - 9) - 4( {x}^{2} - 9) = 0$

We factor to get,

$( {x}^{2} - 9)( {x}^{2} - 4) = 0$

Either

${x}^{2} - 9 = 0$
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${x}^{2} - 4 = 0$

$x = \pm \sqrt{9} \: or \: x = \pm \sqrt{4}$
$x = \pm3 \: or \: x = \pm2$

$x=-3,-2,2,3$

The correct answer is A

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