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nikdorinn [45]
3 years ago
14

When a rectangle is dilated, how do the perimeter and area of the rectangle change?

Mathematics
1 answer:
natta225 [31]3 years ago
4 0

A transformation of a figure in which all of the dimensions of the figure are multiplied by the same scale factor is called a dilation.

Effect of Dilation on Perimeter

Whenever a figure is dilated by a scale factor, the perimeter of the figure changes according to the same scale factor.

Effect of Dilation on Area

When a figure is dilated by a scale factor of \frac{a}{b}, the area of the figure is  dilated by a scale factor of \frac{a^{2}}{b^{2}}

Example-

Lets imagine a rectangle with length 10 cm and width 8 cm

So area becomes = 10*8 = 80 square cm

Lets suppose the rectangle is reduced by a scale factor of \frac{1}{2} to produce a new rectangle.

So we will find the square of scale factor = (\frac{1}{2})^{2}=\frac{1}{4}

Now to find the area of the new rectangle(dilated one) we will multiply the area of the original rectangle by 1/4

= 80*\frac{1}{4}=20

Hence, area becomes 20 square cm.

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OLEGan [10]

Answer:

100 beats per minute

Step-by-step explanation:

If it takes 28.8 secs for the piano to play 48 beats, then it would take 60 secs (1 minute) to play x number of beats.

To find the value of x, which is the number of beats the piano makes per minute, let's set the proportion as shown below:

28.8 secs = 48 beats

60 secs = x beats

Cross multiply

28.8*x = 60*48

28.8x = 2,880

Divide both sides by 28.8

x = 2,880/28.8

x = 100

✅Thus, if the Piano plays 48 beats in 28.8 secs, therefore, the tempo of the piano in beats per minute would be 100 BPM

7 0
3 years ago
Kim's softball team was playing in the championship game. When there were 444 innings left, the team was losing by a score of 17
olga nikolaevna [1]

The inequality to determine the number of runs per inning, p Kim's team could have scored is; 4r + 6 > 17

<h3>How to write an Inequality?</h3>

Let r represent the number of runs per inning. Thus for 4 innings, we have 4r.

The team already has 6 runs. Now add the additional runs to this to get;

4r + 6

The team wants to score more than the other team, this means they need more than 17 and so the inequality required is;

4r + 6 > 17

Subtract 6 from each side to get;

4r + 6 - 6 > 17 - 6

4r > 11

Divide both sides by 4 to get:

r > 2.75

Approximating to a whole number gives;

r > 3

Read more about writing inequalities at; brainly.com/question/25275758

#SPJ1

8 0
2 years ago
A recycling station brought in 1/2 T of newspapers on Monday. On Tuesday, the station collected only half of what it did on Mond
Oxana [17]
Its b took the test Rita b duemwowms
8 0
3 years ago
The scatter plot below shows the number of pizzas sold during weeks when different numbers of coupons were issued. The equation
levacccp [35]

Answer:

94 pizzas will be sold

Step-by-step explanation:

We have to use the equation and replace 15 with x.

x=15

y=3.4x + 43

y=3.4(15) + 43

y=51 + 43

y=94

(15,94)

There will be 94 pizzas sold nightly if 15 coupons were issued.

6 0
3 years ago
Read 2 more answers
Helpp please!!!
zavuch27 [327]

Answer:

  h, j2, f, g, j1, i, k, l (ell)

Step-by-step explanation:

The horizontal asymptote is the constant term of the quotient of the numerator and denominator functions. Generally, it it is the coefficient of the ratio of the highest-degree terms (when they have the same degree). It is zero if the denominator has a higher degree (as for function f(x)).

We note there are two functions named j(x). The one appearing second from the top of the list we'll call j1(x); the one third from the bottom we'll call j2(x).

The horizontal asymptotes are ...

  • h(x): 16x/(-4x) = -4
  • j1(x): 2x^2/x^2 = 2
  • i(x): 3x/x = 3
  • l(x): 15x/(2x) = 7.5
  • g(x): x^2/x^2 = 1
  • j2(x): 3x^2/-x^2 = -3
  • f(x): 0x^2/(12x^2) = 0
  • k(x): 5x^2/x^2 = 5

So, the ordering least-to-greatest is ...

  h (-4), j2 (-3), f (0), g (1), j1 (2), i (3), k (5), l (7.5)

6 0
3 years ago
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