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algol [13]
3 years ago
13

Bob has 200 coins in her piggy bank. Of those 40%are pennies. Out of the coins that are not pennies 25% are quarters. How many o

f the coins are quarters
Mathematics
2 answers:
nadezda [96]3 years ago
7 0

Answer: 200 x .40 = 80 (there are 80 pennies)

200 - 80 = 120

120 x .25 = 30 (there are 30 quarters)


Step-by-step explanation:


Otrada [13]3 years ago
4 0
200×40%= 80 pennies so 200-80=120 and 25% of 120 is 30 so 30 quarters. you can use the % sign when using a calculator or move the decimal over twice like this 200×.40=80 if a % sign is unavailable
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Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the le
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Answer: \overline{AC}= 12.5

Step-by-step explanation: The triangle ABC and its altitude \overline{BD} is represented in the figure below.

<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.

So, because of \overline{BD}, now we have two similar triangles, which means that ratios of corresponding sides are equal:

\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}

\overline{BD}^{2}=\overline{BC}.\overline{AD} (1)

This is always true for a right triangle and a altitude drawn to the hypotenuse.

Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}

\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2} (2)

Substituting (2) into (1):

\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}

We want to find f, so:

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The length of the hypotenuse of triangle ABC is 12.5 units.

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3 years ago
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For questions 1-3
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1) A 2) C 3) D


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