3 years ago

Quotient of 4 and a number increased by 10

Mathematics

1 answer:

AVprozaik [17]3 years ago

7 0

Answer:

x+10/

Step-by-step explanation:

Quotient of 4 =divide by 4

a number increased by 10= x+10

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$\cos( \alpha ) = \frac{ad}{hip} \\ \\ \sin( \alpha ) = \frac{op}{hip}$

Pythagorean theorem

hip² = op² + ad²

17² = x² + 8²

x² = 17² - 8²

$x \: = \sqrt{{17}^{2} - {8}^{2} } \\ x = \sqrt{289 - 64} \\ x = \sqrt{225} \\ x = 15$

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$\sin( - \alpha ) = \frac{15}{17}$

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