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3 years ago

Prove that the two circles shown below are similar.

Mathematics

1 answer:

tiny-mole [99]3 years ago

3 0

Answer:

We can prove the similarity of two circles by mapping one circle onto the other (i.e. making a circle look exactly like the other one) by a translation and a scale factor.

Let's map circle Y onto circle X for example. We need to make sure we have the same radii for both circles, so let's expand circle Y by a scale factor of 2. Then shift circle Y 6 units up and 6 units to the left to move the center point of circle Y over to that of circle X.

Now, since we could map circle Y onto circle X using transformations (scaling and translation), we know that the two circles are similar.

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How can you use transformations to graph this function? y=3x7^-x+2

Norma-Jean [14]

Answer:

hmm is that 3 times 7⁻ˣ + 2?

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

392,196 divided by 87 (Using long division)

ruslelena [56]

Answer:

Step 1:

Start by setting it up with the divisor 87 on the left side and the dividend 392 on the right side like this:

8 7 ⟌ 3 9 2

Step 2:

The divisor (87) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:

8 7 ⟌ 3 9 2

Step 3:

Multiply the divisor by the result in the previous step (87 x 0 = 0) and write that answer below the dividend.

8 7 ⟌ 3 9 2

Step 4:

Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.

8 7 ⟌ 3 9 2

- 0

Step 5:

Move down the 2nd digit of the dividend (9) like this:

8 7 ⟌ 3 9 2

- 0

3 9

Step 6:

The divisor (87) goes into the bottom number (39), 0 time(s). Therefore, put 0 on top:

0 0

8 7 ⟌ 3 9 2

- 0

3 9

Step 7:

Multiply the divisor by the result in the previous step (87 x 0 = 0) and write that answer at the bottom:

0 0

8 7 ⟌ 3 9 2

- 0

3 9

Step 8:

Subtract the result in the previous step from the number written above it. (39 - 0 = 39) and write the answer at the bottom.

0 0

8 7 ⟌ 3 9 2

- 0

3 9

- 0

3 9

Step 9:

Move down the last digit of the dividend (2) like this:

0 0

8 7 ⟌ 3 9 2

- 0

3 9

- 0

3 9 2

Step 10:

The divisor (87) goes into the bottom number (392), 4 time(s). Therefore put 4 on top:

0 0 4

8 7 ⟌ 3 9 2

- 0

3 9

- 0

3 9 2

Step 11:

Multiply the divisor by the result in the previous step (87 x 4 = 348) and write the answer at the bottom:

0 0 4

8 7 ⟌ 3 9 2

- 0

3 9

- 0

3 9 2

3 4 8

Step 12:

Subtract the result in the previous step from the number written above it. (392 - 348 = 44) and write the answer at the bottom.

0 0 4

8 7 ⟌ 3 9 2

- 0

3 9

- 0

3 9 2

- 3 4 8

4 4

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 392 divided by 87 calculated using Long Division is:

44 Remainder

Step-by-step explanation:

6 0

3 years ago

I NEED THIS FAST!

spin [16.1K]

9514 1404 393

Answer:

Step-by-step explanation:

The least common denominator is the least common multiple of the denominators.

Here, the given denominators, 3 and 10, have no common factors, so their least common multiple is simply their product:

LCD = 3×10 = 30

The least common denominator is 30.

If the denominator numbers have a common factor, then their least common multiple is their product divided by their greatest common factor.

7 0

3 years ago

Find the area of the right triangle. If necessary, round to the nearest tenth.

Ne4ueva [31]

Answer:

B - 150 yd

Step-by-step explanation:

Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; a² + b² = c².

In this case, let's label the the missing side A, the height B, and the hypotenuse C.

X² + 15² = 25²

Then you must figure out what 15² and 25².

15² = 225

25² = 625

The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².

625 - 225 = 400. 

Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.

√400 = 20.

The missing length of the triangle is 20 yards.

Now it's just a matter of finding the area by using the formula;

A = $\frac{bh}{2}$

Or,

(20 × 15) ÷ 2 = 150.

And there's your answer. Don't forget to add the units.

<h2>Hope this helped.</h2>

8 0

3 years ago

In the whole number 1,908,672, which digit is the ten thousands place? 8 9 0 6

Lena [83]

The 0 is in the ten thousands place

8 0

4 years ago

Read 2 more answers