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3 years ago

Why is circle 1 similar to circle 2?

Mathematics

2 answers:

DanielleElmas [232]3 years ago

6 0

Answer: The answer is given below.

Step-by-step explanation: The given circles are:

Circle 1: centre (2, 3) and radius 4

Circle 2: centre (2, 3) and radius 12.

The equations of circle 1 and circle 2 are respectively given as :

$(x-2)^2+(y-3)^2=4^2,\\\\(x-2)^2+(y-3)^2=12^2.$

These two circles are drawn on the graph as shown in the attached figure.

We can easily see that the Circle 2 is a dilation of Circle 1 with a scale factor

$S=\dfrac{12}{4}=3.$

Thus, the two circles are similar.

raketka [301]3 years ago

5 0

The correct answer is

Circle 2 is a dilation of circle 1 with a scale factor of 3.

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I'm trying to find out the number of how much it cost to wrap each present, day one 41 small gifts were wrapped and 45 large wer

Licemer1 [7]

Answer:

Small gift: $2

Large gift: $7

Step-by-step explanation:

Let x represent cost of wrapping each small gift and y represent cost of wrapping each large gift.

We have been given that day one 41 small gifts were wrapped and 45 large were wrapped equaling $397.

We can represent this information in an equation as:

$41x+45y=397...(1)$

We are also told that day two 30 small gifts were wrapped and 47 large were wrapped equaling $389. We can represent this information in an equation as:

$30x+47y=389...(2)$

From equation (1), we will get:

$x=\frac{397-45y}{41}$

Upon substituting this value in equation (2), we will get:

$30(\frac{397-45y}{41})+47y=389$

$\frac{11910-1350y}{41}+\frac{47*41y}{41}=389$

$\frac{11910-1350y+1927y}{41}=389$

$\frac{11910+577y}{41}=389$

$\frac{11910+577y}{41}\cdot 41=389\cdot 41$

$11910+577y=15949$

$11910-11910+577y=15949-11910$

$577y=4039$

$\frac{577y}{577}=\frac{4039}{577}$

$y=7$

Therefore, cost to wrap a large gift is $7.

Upon substituting $y=7$ in equation $x=\frac{397-45y}{41}$ , we will get:

$x=\frac{397-45(7)}{41}$

$x=\frac{397-315}{41}$

$x=\frac{82}{41}$

$x=2$

Therefore, cost to wrap a small gift is $2.

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3 years ago

5). Jonathan bought a new jacket. The jacket originally cost $79.95 but is on sale for 20% off. How much

Harlamova29_29 [7]

Answer:c
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2 years ago

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3 years ago

What is the length of AC?

lora16 [44]

Answer:

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3 years ago

If x = 7, what is the value of the expression above?

givi [52]

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8 x 3

= 24

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(2 x 7) -(7 x 3)

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(4 x 7) - 3

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3 years ago