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KIM [24]
3 years ago
9

Write in expanded form. 7,891

Mathematics
1 answer:
sdas [7]3 years ago
3 0

Seven thousand, eight hundred and ninety one

7000+800+90+1

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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
Nana76 [90]

The length of BC is 4 \sqrt{5}.

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

\Rightarrow  16\times 5 = x\times x

\Rightarrow  80= x^2

\Rightarrow  16\times 5= x^2

Taking square root on both sides.

\Rightarrow  \sqrt{16\times 5} = \sqrt{x^2}

\Rightarrow  \sqrt{4^2\times 5} = \sqrt{x^2}

square and square roots get canceled, we get

\Rightarrow  4\sqrt{ 5} = x

The length of BC is 4 \sqrt{5}.

7 0
3 years ago
| 19) -6.5<br> What is the answer
Rashid [163]

Answer:

the answer will be 3.5 i think

Step-by-step explanation:

8 0
3 years ago
A train traveled 325 miles in 5hrs. What was the trains average rate of speed in miles per hr ?
Leya [2.2K]

Hi there!

To find the average speed of a moving object all you need to do is divide the distance traveled by the object by amount of time it took the object to reach its final destination. So for this problem it would go like this:

325 ÷ 5 = 65

So for this problem in particular the answer is 65 MPH was the average speed of the train.

Your friend, ASIAX

5 0
3 years ago
Isaac keeps track of the amount of money in his savings certificate each month. He has accumulated the following data:
Dafna1 [17]

Answer:

d. The common ratio is 1.1

Step-by-step explanation:

To see if the data has a common ratio or common difference, we have to see if the division between them is equal(common ratio), or if the difference between them is equal(common difference).

In this case, since 60.5 - 55 \neq 55 - 50, it has a common ratio.

To find it, we divide consecutive terms. For example:

\frac{55}{50} = 1.1

So the correct answer is:

d. The common ratio is 1.1

3 0
3 years ago
A triangular pyramid has the same base and height as a triangular prism. The volume of the prism is 66 cubic inches. What is the
notka56 [123]
The volume of the triangular prism is 66 cubic inches. 
In order for us to know the volume of the triangular pyramid, first we need to know the ratio of the volume of triangular prism and the volume of the triangular pyramid.

Volume of the pyramid = 1/3 * volume of the prism.
Volume of the pyramid = 1 / 3 * 66
<span>Volume of the pyramid = 22 cubic inches.
</span>
So the volume of the triangular pyramid is 22 cubic inches.
5 0
3 years ago
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