Dan's dramatic deals claims to have the best deals in town. dan purchases a disco dancing doll from the distributor for a certain price. dan than raises the price he paid 60% and put a price tag on the doll. he then advertised a sale for three dozen percent off. if debbie dollover pays $30.72 for the disco dancing doll, what was the price dan paid to the distributor? give a step by step explanation and formula

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Ответ:

petergriffin6772

05.04.2021

Mathematics

$\frac{\sqrt{17} }{7}$

Step-by-step explanation:

Given

cosΘ = $\frac{4\sqrt{2} }{7}$ = $\frac{adjacent}{hypotenuse}$

Then the hypotenuse of the right triangle is 7 and the adjacent side is 4 $\sqrt{2}$

To find the opposite side use Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

opp² + (4 $\sqrt{2}$ )² = 7²

opp² + 32 = 49 ( subtract 32 from both sides )

opp² = 17 ( take the square root of both sides )

opp = $\sqrt{17}$

Hence

sinΘ = $\frac{opposite}{hypotenuse}$ = $\frac{\sqrt{17} }{7}$

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