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iren [92.7K]
3 years ago
11

Which transformation shows that the two given circles are similar? Circle A -- center(2, 0), radius 8 Circle A' -- center(-1, 5)

, radius 3
Mathematics
2 answers:
Goryan [66]3 years ago
5 0
Translate Circle A (x-3, y+5) and then dilate by a scale factor of 3/8 or 0.375
yawa3891 [41]3 years ago
5 0

Answer:

Step-by-step explanation:

One circle A with the center (2, 0) is transformed to a new point A' (-1, 5) means a circle is shifted to A' with new coordinates.

Therefore transformation done will be A [(2-x), (0-y)]

Here 2 - x = -1

-x = -2 - 1 = -3

x = 3

and 0-y = 5

y = -5

Therefore the transformation done is [(x - 3), (y +5)].

Now we see that the radius of the new circle is changed. Therefore new circle is enlarged with a scale factor of 3/8 = ( new radius/old radius)

So we conclude that a circle A is transformed to A' with [(x -3), (y + 5)]

and then enlarged by a scale factor of 3/8.

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Last year, Kaitlin opened an investment account with $8600. At the end of the year, the amount in the account had decreased by 2
musickatia [10]

Answer:

Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.

Step-by-step explanation:

Given that last year Kaitlin opened an investment account with $ 8,600, and at the end of the year, the amount in the account had decreased by 28%, to determine the year-end amount in terms of the original amount both in whole numbers and in decimals, the following calculation must be performed:

100 - 28 = 72

8,600 x 0.72 = X

6.192 = X

Thus, Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.

5 0
3 years ago
A local orange grower processes 2,330 oranges from his grove this year. The oranges are packaged in crates that each holds 96 or
maw [93]

Answer:

13

Step-by-step explanation:

Given parameters:

Number of oranges processed by grower  = 2330 oranges

Number of oranges per crate  = 96

Unknown:

Number unpacked oranges

Solution:

To solve this problem, divide the total number of oranges by the number of oranges per crate;

  Number of unpacked oranges  = \frac{2330}{96}  

  Number of unpacked oranges  = 24 \frac{13}{48}  

The remaining unpacked is 13.

7 0
3 years ago
What is greater 2 3/4 or 2 2/3
Ronch [10]

2 3/4 is greater then 2 2/3

5 0
3 years ago
Read 2 more answers
What is the volume of a sphere with a radius of 6in? Round to the nearest hundredth. Remember V = 4/3πr3 * 20 points 457.86 inch
kakasveta [241]

Given:

The radius of the sphere is 6 in.

To find:

The volume of the sphere.

Solution:

We know that, the volume of a sphere is

V=\dfrac{4}{3}\pi r^3

Where, r is the radius of the sphere.

Putting r=6, we get

V=\dfrac{4}{3}\pi (6)^3

V=\dfrac{4}{3}\pi (216)

V=288\pi

V\approx 904.78

The volume of the sphere is 904.78 inches cubed.

Therefore, the correct option is C.

7 0
3 years ago
For a 100 ponits : 13+(-19)=<br><br> ANSWER:
KATRIN_1 [288]

Answer: -6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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