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Llana [10]
3 years ago
8

Samuel orders DVD’s from an online music store. Each DVD costs $9.99. He has a 20% discount code, and sales tax is 6.75%. What i

s the total cost of his order?
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
5 0
Hey You!

Let's solve this step-by-step:

9.99 * 20% = 1.998

9.99 - 1.998 = 7.992

7.992 * 6.75% = 0.53946

7.992 + 0.53946 = 8.53746

The total cost of his order is $8.53
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Answer:

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Step-by-step explanation:

* Lets change this story problem to a trigonometry problem

- Assume that there is a triangle joining between the

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- The name of the triangle is KFH, where K position of the kite,

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∵ Farimah and Helio are standing 15 feet apart from each other

∴ FH = 15 feet

∵ Farimah is flying the kite on a 57 feet string at an angle

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∴ FK = 57 feet

∴ m∠KFH = 68°

∵ We need to know that Helio is how far from the kite

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* Now lets find the best way to find the length of KH

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- We have the length of two sides and the measure of the included

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* Lets explain the cosine rule:

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∵ a is the length of the side opposite to ∠A ⇒ a is BC

∵ b is the length of the side opposite to ∠B ⇒ b is AC

∵ c is the length of the side opposite to ∠C ⇒ c = AB

∴ a² = b² + c² -2bc × cos(A)

∴ b² = a² + c² -2ac × cos(B)

∴ c² = a² + b² -2ab × cos(C)

* We will use the rule in our problem to find HK

∵ FH is k , HK is f , KF is h

∴ f² = h² + k² - 2hk × cos(F)

∵ h = 57 feet , k = 15 feet , m∠F = 68°

∴ f² = (57)² + (15)² - 2(57)(15) × cos(68) = 2833.4227

∴ f = √2833.4227 = 53.2 feet

* Helio is 53.2 feet from the kite

 

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