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ollegr [7]
3 years ago
7

Noah drew a scaled copy of Polygon P and labeled it Polygon Q. If the area of Polygon P is 5 square units, what scale factor did

Noah apply to Polygon P to create Polygon Q?

Mathematics
2 answers:
vredina [299]3 years ago
8 0

Answer:

The scale factor is 3

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z -----> the scale factor

x -----> area of polygon Q

y ----> area of polygon P

so

z^{2}=\frac{x}{y}

we have

y=5\ units^2

<em>Find the area of polygon Q</em>

Divide the polygon Q into five squares

see the attached figure N 2

The area of polygon Q (area of the  five squares)  is

x=5(3^2)=45\ units^2

<em>Find the scale factor</em>

z^{2}=\frac{x}{y}

we have

x=45\ units^2

y=5\ units^2

substitute

z^{2}=\frac{45}{5}

z^{2}=9

square root both sides

z=3

therefore

The scale factor is 3

Svetach [21]3 years ago
5 0

Answer:

3 is the answer

Step-by-step explanation:

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Jonathan buys two baseball bats for $43 each they are on sale for 45% off he also bought a glove that was originally priced at 2
vladimir2022 [97]

Hi There!

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Baseball Bats:

43 x 0.45 = $19.35 as the amount off.

43 - 19.35 = $23.65 with the discount.

23.65 x 2 = $47.3 for two bats.

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Glove:

28 x 0.25 = $7 as the amount off.

28 - 7 = $21 with the discount.

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Together:

21 + 47.3 = $68.3 as the total before taxes.

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With Taxes:

68.3 x 0.055 = $3.7565 as the tax amount.

68.3 - 3.7565 = $64.5435

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Answer:

Not Rounded: $64.5435

Rounded: $64.54

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Hope This Helps :)

3 0
3 years ago
The perimeter of a rectangular field is 278 m. If the width of the field is 61 m, what is its length?
nataly862011 [7]

Answer:

length is 78

Step-by-step explanation:

Perimeter of rectangle is P = 2 (l +w)

278 = 2(l + 61)

l = 78

3 0
3 years ago
Which of the following statements are true?
astraxan [27]
C I think the answer is
8 0
3 years ago
Read 2 more answers
What happens when an image is reflected over y = -x
notka56 [123]

Answer:

Well, it's pretty simple. If your reflecting something over the y axis the X will change if it's negative or positive. So if it's -x and you flip it over it becomes a positive x. If you flip it over the x-axis the Y is the one that change to a negative or positive.

So if the shape flips over the y-axis, the X points will turn negative. for example, one of the points is (1,4) it will turn to (-1,4)

Step-by-step explanation:


7 0
3 years ago
Find an equation, or a set of equations, to describe the set of points that are equidistant from the points p(−9, 0, 0) and q(3,
wariber [46]
X = -3.  
The distance from p(-9, 0, 0) is
 d = sqrt((x+9)^2 + y^2 + z^2) 
 The distance from q(3,0,0) is
 d = sqrt((x-3)^2 + y^2 + z^2) 
 Let's set them equal to each other.
 sqrt((x+9)^2 + y^2 + z^2) = sqrt((x-3)^2 + y^2 + z^2)
  Square both sides, then simplify
 (x+9)^2 + y^2 + z^2 = (x-3)^2 + y^2 + z^2
 x^2 + 18x + 81 + y^2 + z^2 = x^2 - 6x + 9 + y^2 + z^2
 18x + 81 = - 6x + 9
 24x + 81 = 9
 24x = -72
 x = -3 
 So the desired equation is x = -3 which defines a plane.
7 0
3 years ago
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