A rectangle has an area of x square units. The rectangle is dilated to create a new rectangle with an area of 9x square units. Describe the change in the dimensions of the rectangle.-What is the scale factor used in the dilation?

-If the demsions of the original rectangle are 5 inches by 8 inches, what will be the dimensions of the new rectangle? Show your work.

Answers

Answer 1

Answer: The reactangle has an area of x.

So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b.

So that means the side lengths are a and b. And ab = x (will be using this right next).

And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:

$(y* a)* (y* b)=9x$
$y^2ab=9x$
$y^2x=9x$
$y=3$

y can not equal to -3, because the length of a side of any polygon can never be negative.

So the dilation is 3.

And so if the dimension is 5 by 8.

Then the area is $5 * 8=40$

And so then $x=40$

And then after the dilation, it would be $9x=9(40) = 360$

We could check it another way too. Since we said the scale factor is 3, then:

$( 5 * 3) * (8 * 3) = 15 * 24 = 360$

So basically 15 by 24 is the new dimensions :)

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Plz anwser this anwser

Answers

best estimate : 30 * 60 = 1800

I would first estimate it and then figure out the answer by doing 34,and times that by 57and compare them together to see what you got

The distance of planet Jupiter from the Sun is approximately 7.8 ⋅ 108 kilometers, and the distance of planet Saturn from the Sun is 1.5 ⋅ 109 kilometers. About how many more kilometers is the distance of Saturn from the Sun than the distance of Jupiter from the Sun

Answers

Answer:

Option C is the correct answer,

Step-by-step explanation:

The distance of planet Jupiter from the Sun is approximately 7.8 x 10⁸ kilometers.

Distance from Jupiter to Sun = 7.8 x 10⁸ kilometers

The distance of planet Saturn from the Sun is 1.5 x 10⁹ kilometers.

Distance from Saturn to Sun = 1.5 x 10⁹ kilometers

Difference in distances = 1.5 x 10⁹ - 7.8 x 10⁸ = 15 x 10⁸ - 7.8 x 10⁸

Difference in distances = 7.2 x 10⁸ kilometers

Answer: Difference in distances = 7.2 x 10⁸ kilometers

Step-by-step explanation:

Divide.Then, check with multiplication. The first one is done for you.94 divided by 33??

Answers

The answer is 2.84848484848.

Round each decimals to the nearest whole number 6.7

Answers

7.0 thats your answer if its wrong pls dont hate me

When you're rounding it to the nearest whole number or to the ones, it will be 7 or 7.0

What is the expanded form of 876 million

Answers

First lets write 876 million out:-

876, 000, 000

Now lets write it in expanded form:-

876, 000, 000

800,000,000 + 70,000,000 + 6,000,000 + 0 + 0 + 0 + 0 + 0 + 0 = 876, 000, 000

So, 876 million in expanded form is:-

800,000,000 + 70,000,000 + 6,000,000 + 0 + 0 + 0 + 0 + 0 + 0 =

Hope I helped ya!! xD

A geometry student says; "I got lost in that lesson - I wrote down that AD/AB = AC/AB but I have no ideawhere it comes from."
Which of the following should have been the proportion that the student wrote?
answer choices:
a) AD/AB=AB/AC
b) AD/AC=AB/AB
c) AB/AD=AB/AC
d) AB/AC=AB/AD