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Delvig [45]
3 years ago
10

Circle A, centered at A(-4, 3) with radius of 3 cm is translated so that it is concentric with Circle B, centered at B(8. 5) wit

h a radius of 9cm. Which transformation would now establish that the two circles are similar?

Mathematics
1 answer:
iogann1982 [59]3 years ago
7 0
<h2>Hello!</h2>

The answer is: Dilation with center B and scale factor on A.

<h2>Why?</h2>

Two circles will be always similar because of the ratio proportionality.

Since all circles are similar, we need to prove it by using the following formula:

C_{A} =C_{B}\\C_{A}= 2*\pi *r_{A} =2*\pi *r_{B}\\\frac{r_{B} }{r_{A} } =\frac{9}{3} =3

The number that multiplies Circle A radius to make it similar to Circle B radius is 3.

r_{A}*3=r_{B}=9cm

Have a nice day!

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Solve the following equation for x.
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Answer:

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On a scale drawing of a museum, two water fountains are 10 inches apart. The actual distance between them is 400 feet. On the sa
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6 0
3 years ago
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Dr. Brown did 6 experiments at 7AM. Dr. Rachal did 8 experiments at 6PM. They both had 564 tools each. Dr. Brown used 386 and Dr
devlian [24]

Answer:

Step-by-step explanation:

Total number of tools for both = 564.

Dr Brown used 386 tools for 6 experiments.

average number of tools per experiment used by Dr Brown = \frac{386}{6}

                                               = 64\frac{1}{3}

Dr Rachal used 236 tools for 8 experiments.

average number of tools per experiment used by Dr Rachal = \frac{236}{8}

                                                = 29\frac{1}{2}

i. The number of more experiment that can be done by Dr Brown = (564 - 386) ÷ (64\frac{1}{3})

                                 = 2.7668

Dr Brown can do two more experiments.

The number of more experiments that can be done by Dr Rachal = (564 - 236) ÷ (29\frac{1}{2})

                                  = 11.1186

Dr Rachal can do 11 more experiments.

ii. Number of tools left after Dr Brown's experiments = 564 - 386

                                                            = 178

Number of tools left after Dr Rachal's experiments = 564 - 236

                                                            = 328

7 0
3 years ago
Which of the following represents "four times the square of a number is thirty-six"?
Lapatulllka [165]

Answer:

Option (b) is correct.

4x^2=36

Step-by-step explanation:

 Given  expression "four times the square of a number is thirty-six"

We have to write it mathematically and choose the correct options out of given options.

Consider the given expression  "four times the square of a number is thirty-six"

Then

let the number be x ,

Then four times the square of a number written mathematically as 4x^2

And given "four times the square of a number is thirty-six" written mathematically as 4x^2=36

Therefore, "four times the square of a number is thirty-six" written mathematically as 4x^2=36

Option (b) is correct.

6 0
3 years ago
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