2.<br> Given points A(3, -5) and B(19,-1), find the coordinates of point C such that he =

Circle A has been enlarged to create circle A'. The table below shows the circumference of both circles.

stich3 [128]

Answer:

Option (2) 1.5

Step-by-step explanation:

Rule for the dilation of an image by a scale factor is,

Scale factor = $\frac{\text{Radius of image circle A'}}{\text{Radius of pre-image A}}=\frac{r'}{r}$

= $\frac{(2\pi) r'}{(2\pi) r}$

= $\frac{\text{Circumference of image}}{\text{Circumference of pre-image}}$

= $\frac{10.5}{7}$

= 1.5

Therefore, scale factor was used to create a circle A' = 1.5

Option (2) will be the correct option.

8 0

3 years ago

Write an algebraic expression for the phrase "thirty less than the product of a number y and four".

zzz [600]

Answer:

30-(y*4)

Step-by-step explanation:

replace thirty with 30. less than is - (minus). the product of a number y and four. replace four with 4. the product is the answer of the multiplication problem. so the multiplication problem here would be y*4. so the full answer is

30-(y*4)

8 0

3 years ago

Read 2 more answers

10.4 sweets cost 28p altogether,<br> how much much do 7 sweets cost

Serjik [45]

28/10.4=2.69
2.69*7=18.83

7 0

3 years ago

Read 2 more answers

Help please ! order the side lengths GH , HI , IG from least to greatest

jok3333 [9.3K]

Answer:

IH < IG < HG

Step-by-step explanation:

To solve this equation remember that angle measurements correspond with sides. So, the largest angle will be opposite of the longest side and the smallest angle will be opposite of the shortest side.

First, you need to find m<I; do this by subtracting 52 and 45 from 180. This means that m<I=83, making it the largest angle. Therefore, the angles, in order of least to greatest, are <G, <H, <I. So, to find the final answer, find the sides opposite of each of the angles. This means the answer is IH < IG < HG.

7 0

3 years ago

Big Mack buys meat for the family reunion cookout. He needs to buy 11 packagesof meat. A package of hotdogs costs $2.59, and a p

IgorC [24]

Hello!

Let's write some important information contained in the exercise:

• hotdogs: $2.59 (,x,)

,

• hamburgers: $5.29 (,y,)

He needs 11 packages. Let's write it:

• x + y = 11

He spent a total of $39.29. We can write it as:

• 2.59x + 5.29y = 39.29

Now, let's solve these two equations as a linear system:

$\begin{cases}x+y=11\text{ equation A} \\ 2.59x+5.29y=39.29\text{ equation B}\end{cases}$

First, let's isolate x in equation A:

$\begin{gathered} x+y=11 \\ x=11-y \end{gathered}$

Now, we will replace where's x by 11-y in equation B:

$\begin{gathered} 2.59x+5.29y=39.29 \\ 2.59(11-y)+5.29y=39.29 \\ 28.49-2.59y+5.29y=39.29 \\ -2.59y+5.29y=39.29-28.49 \\ 2.7y=10.8 \\ y=\frac{10.8}{2.7} \\ \\ y=4 \end{gathered}$

As I called the hamburgers as 'y', we know that he bought 4 packages of hamburgers.

5 0

1 year ago

2. Given points A(3, -5) and B(19,-1), find the coordinates of point C such that he =