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3 years ago

Suppose x is any positive number why is circle 1 similar to circle

Mathematics

1 answer:

Nostrana [21]3 years ago

3 0

Answer:

A circle 2 is a dilation of circle 1 with a scale factor of 5

Step-by-step explanation:

We have been given information about two circles as given below:

circle 1: center (0,0) and radius 2x

circle 2: center (0,0) and radius 10x .

Now we need to find about why is circle 1 similar to circle where x is any positive number.

We know that all circles are similar. So after dilation it doesn't affect their similarities.

10x can be obtained from 2x, by multiplying 2x with 5.

So the first choice "A circle 2 is a dilation of circle 1 with a scale factor of 5" is correct.

You might be interested in

Estimate this product by rounding each number to one nonzero digit before multiplying: (2876)(513)(18) ASAP PLEASE

DerKrebs [107]

2876 Rounds To 3000
513 Rounds To 500
18 Rounds To 20
Then multiply:
3000x500x20= 30,000,000

Hope i helped :)

5 0

3 years ago

A bookmark has an area of 14 square centimeters and a perimeter of 18 centimeters. What are the dimensions of the bookmark?

Naily [24]

Answer:

2 x 7

Step-by-step explanation:

a * b = 14

2a + 2b = 18

(a * b)/b = 14/b Dividing both sides by b

a = 14/b

Substitute a in the perimeter equation

2(14/b) + 2b = 18

28/b + 2b = 18

2b - 18 + 28/b = 0

Multiply both sides by b

2b^2 - 18b + 28 = 0

Divide both sides by two

b^2 - 9b + 14 = 0

The Factors of 14 include -2 and -7 which add up to -9

(b - 2) * (b - 7) = 0

This has two answers because b can be either the side that is 2 long or 7 long, so there's no need to go back and solve for a.

2 x 7

4 0

3 years ago

The Kellys are saving up to go on a family vacation in 2 years. They invest $3200 into an account with an annual interest rate o

ryzh [129]

Answer:

$3,273.14

Step-by-step explanation:

-We first calculate the effective interest rate of 1.13% compounded daily:

$i_m=(1+i/m)^m-1\\\\=(1+0.0113/365)^{365}-1\\\\=0.011363909$

#Now, we calculate the compounded amount after 2 years using this rate:

$A=P(1+i)^n\\\\=3200(1.011363909)^2\\\\\\=3273.14$

Hence, the compounded amount after 2 years is $3,273.14

6 0

3 years ago

Use addition properties and strategies to find the sum..1.)34+62+51+46=? 2.)27+68+43=? 3.)42+36+18=? 4.)74+35+16+45=?

erica [24]

1.
$34 + 62 = 96 + 51 = 147$
$147 + 46 = 193$

2.
$27 + 68 = 95 + 43 = 138$
3.
$42 + 36 = 78 + 18 = 96$
4.
$74 + 35 = 109 + 16 = 125 + 45 =$
$= 70$

5 0

3 years ago

For a dilation with a scale factor less than 1, how do the angles and side lengths of the preimage relate to the angles and side

kakasveta [241]

Answer: option A

Step-by-step explanation:

3 0

3 years ago

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