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andreyandreev [35.5K]
3 years ago
10

40. Kaitlin bought $34.40 worth of compact discs. The sales tax is 6.5%. What was the total cost rounded to the nearest cent?

Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

Answer:

$34.64

Step-by-step explanation:

Change 6.5% into a decimal. (6.5)/100

Multiply $34.40 by .065. (.065)*(34.40)

Add $34.40 and 2.236. (34.40)+(2.236)

Round 36.636 to the nearest hundredth place.

You have your answer. ($36.64)


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Let us draw a picture to make the things more clear.

Attached is the image.

We have been given that

\angle acd = 60 ^{\circ}

Therefore, we have

\angle dcb =90- 60= 30 ^{\circ}

Now, in triangle bcd, we have

\tan30 = \frac{5}{cd}\\
\\
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\\
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Now, in triangle acb, we have

tan 60 = \frac{ad}{5\sqrt3} \\
\\
\sqrt 3=  \frac{ad}{5\sqrt3}\\
\\
ad= 5\sqrt3 \times \sqrt 3\\
\\
ad= 5\times 3\\
\\
ad=15

Thus, ad is 15 cm.


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