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3 years ago

5

Symiah went to the bookstore and bought a hardcover book which was marked 10 percent off. If she saved $5 on the book, what was

the original price of the book??? PLZZ I will give yuo 100 pointd

1 answer:

Crank3 years ago

5 0

Is it obvious the 10% of the book's price is the $5 right?

So the book's price is $50.

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dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

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we know that

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$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

<u>Find the value of BC</u>

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

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Step 3

<u>Find the value of BD</u>

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

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substitute the values

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<u>the answer is</u>

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