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Radda [10]
4 years ago
15

Suppose x is any positive number. Circle 1 has a center at (−2, 7) and a radius of 8x. Circle 2 has a center at (−3, 0) and a ra

dius of 5x. Why is Circle 1 similar to Circle 2?Circle 1 and Circle 2 have the same area, and Circle 1 has a radius 0.625 times longer than Circle 2.Circle 1 is a translation of 1 unit right and 7 units up from Circle 2, and a dilation of Circle 2 with a scale factor of 1.6.Circle 1 is a translation of 1 unit right and 7 units up from Circle 2, and a dilation of Circle 2 with a scale factor of 0.625.Circle 1 and Circle 2 have the same circumference, and Circle 1 has a radius 1.6 times the length of Circle 2's radius.
Mathematics
1 answer:
Virty [35]4 years ago
6 0

Answer:

The correct answer is "Circle 1 is a translation of 1 unit right and 7 units up from Circle 2, and a dilation of Circle 2 with a scale factor of 1.6"

Step-by-step explanation:

We can tell this because first they identify the movement properly. When going from (-3, 0) to (-2, 7), we move to the right one and up 7.

Also, we know there is a scale factor of 1.6, because when we look at the radius of each circle, we can divide and find that factor.

8x/5x = 1.6

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Determine the number of lines of symmetry and the number of rotation symmetries for each of the following sea organisms.
Alex777 [14]

There are 9 lines of symmetry and infinite rotational symmetries in first figure,4 lines of symmetry and no rotational symmetries in second figure,6 lines of symmetry and infinite rotational symmetries in third figure,1 line of symmetry and infinite rotational symmetries in fourth figure.

Given four figures.

We are required to find the number of lines of symmetry and rotational symmtries.

Symmetry lines are those lines which act as shape in such a way that both parts are like mirror image.

Rotational symmetry is the property that a shape has when it looks same after some turn.

  • There are 9 lines of symmetry and infinite rotational symmetries in first figure.
  • There are 4 lines of symmetry and no rotational symmetries in second figure.
  • There are 6 lines of symmetry and infinite rotational symmetries in third figure.
  • There is 1 line of symmetry and infinite rotational symmetries in fourth figure.

Hence there are 9 lines of symmetry and infinite rotational symmetries in first figure,4 lines of symmetry and no rotational symmetries in second figure,6 lines of symmetry and infinite rotational symmetries in third figure,1 line of symmetry and infinite rotational symmetries in fourth figure.

Learn more about symmetry lines at brainly.com/question/1553710

#SPJ1

6 0
2 years ago
The center of a circle is located at (1, 3) , the point lies on (0, 1) what is the equation for the circle?
lesya692 [45]

Answer: (x-1)^2 + (y-3)^2 = 5

Step-by-step explanation:

8 0
3 years ago
70 POINTS PLEASE HELP! A dump truck pours sand into a container in the shape of a rectangular prism with a square base of length
galina1969 [7]

Answer:

A

Step-by-step explanation:

The volume of a rectangular prism is:

V=\ell wh

Since the prism has a square base, each side length being 2, this means that both the length and width of our prism is 2. Therefore:

V=(2)(2)h=4h

So, we can write:

V=4h

The height h increases at a rate of about 8 inches or 8/12 = 2/3 feet per minute.

So, after t minutes, the height will be 2/3(t) feet. Thus, we can substitute:

\displaystyle V=4\Big(\frac{2}{3}\Big)t=\frac{8}{3}t

We want to find after how long it will be until the volume is 64 cubic feet. So, V = 64:

\displaystyle 64 = \frac{8}{3} t

Solve for t:

\displaystyle t=\frac{3}{8}(64)=3(8)=24\text{ minutes}

The correct answer is A.

3 0
3 years ago
Read 2 more answers
4. What is the slope of the graph of x – 2y = 8?
Liula [17]

Answer:

The slope is 1/2

Step-by-step explanation:

Use the slope-intercept form  y  =  m x + b  to find the slope  m

Hope this helps:)

6 0
3 years ago
A container is in the shape of a cuboid.
lisov135 [29]

Answer:12 cups

Step-by-step explanation:

Find the Volume of the cuboid 36X6x23=4968

Divide it by 3 then times by 2 =3312

3312 divided by 275= 12.04 which means 12 cups

3 0
3 years ago
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