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leva [86]
3 years ago
15

If 8 = x and x = y, then 8 = y is an example of which algebraic property?

Mathematics
1 answer:
Lina20 [59]3 years ago
3 0
Transitive property i think
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How to find the average squared distance between the points of the unit disk and the point (1,1)
ddd [48]
The unit disk can be parameterized by the function

\mathbf p(r,\theta)=(r\cos\theta,r\sin\theta)

where 0\le r\le 1 and 0\le\theta\le2\pi. The squared distance between any point in this region (x,y)=(r\cos\theta,r\sin\theta) and the point (1, 1) is

(x-1)^2+(y-1)^2=(r\cos\theta-1)^2+(r\sin\theta-1)^2
=(r^2\cos^2\theta-2r\cos\theta+1)+(r^2\sin^2\theta-2r\sin\theta+1)
=r^2(\cos^2\theta+\sin^2\theta)-2r(\cos\theta-\sin\theta)+2
=r^2-2r(\cos\theta-\sin\theta)+2

The average squared distance is then going to be the ratio of [the sum of all squared distances between every point in the disk and the point (1, 1)] to [the area of the disk], i.e.

\dfrac{\displaystyle\iint_{x^2+y^2
=\dfrac{\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}[r^2-2r(\cos\theta-\sin\theta)+2]r\,\mathrm dr\,\mathrm d\theta}{\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}r\,\mathrm dr\,\mathrm d\theta}
=\dfrac{\frac{5\pi}2}\pi=\dfrac52
5 0
3 years ago
Select the correct answer from each drop-down menu.
pychu [463]

The figure shows that the polygon:

  • Has 6 sides.
  • Divided into 4 triangles.
  • Total interior angle measure of 180°.
  • Total measure of the interior angles of this polygon is 720°.

<h3>What is the polygon about?</h3>

The polygon has sides of: AB, BC, CD, DE, EF, FA.

So, this means that they have 6 sides and when you look at the diagram, this 6 sides can be divided into 4 triangle of which whose total interior will sum up to 180°.

Since there are 4 triangles and the interior is 180°, then to get  the total measure of the interior angles of this polygon will be:

= 180 X 4 = 720

Therefore, one can say that the The figure shows that the polygon, has 6 sides, may be divided into 4 triangles, each of which will have a total interior angle measure of  180. Therefore, the total measure of the interior angles of this polygon is 720.

Learn more about Polygon from

brainly.com/question/1592456

#SPJ1

5 0
2 years ago
Im confused and i need help please help
denis23 [38]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
What does OD=<br> Pls answer
Elodia [21]

Answer:

OD = 9.375"

Step-by-step explanation:

We can draw a line from O to B to create a triangle.

Then, Triangle ODB and Triangle ACB are similar, so their corresponding side's ratio are similar as well.

Triangle ACB, we can use pythagorean theorem to figure out CB:

AC^2 + CB^2 = AB^2

15^2 + CB^2 = 17^2

225 + CB^2 = 289

CB^2 = 64

CB = 8

Now relating the corresponding sides, we can figure out OD:

\frac{OD}{DB}=\frac{AC}{CB}\\\frac{OD}{8-3}=\frac{15}{8}\\\frac{OD}{5}=\frac{15}{8}\\8OD=5*15\\OD=\frac{5*15}{8}\\OD=9.375

8 0
4 years ago
How much did the first national road cost to construct? A) $2 million B) $30 million C) $50 million D) $7 million
Strike441 [17]

The answer to the question is $2 million

5 0
3 years ago
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