1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Luba_88 [7]
3 years ago
6

A piece of cardboard has been cut into a rectangle with side lengths represented by 9.5x+14.3y cm and 11.7x+22.8y cm. What is th

e perimeter of the cardboard in terms of and ?
Mathematics
1 answer:
kati45 [8]3 years ago
4 0

Given:

Sides of a rectangle are 9.5x+14.3y cm and 11.7x+22.8y cm.

To find:

The perimeter of the cardboard in terms of x and y.

Solution:

We know that, perimeter of a rectangle is

Perimeter=2(length +width)

Now,

Perimeter=2[(9.5x+14.3y) +(11.7x+22.8y)]

On combining like terms, we get

Perimeter=2[(9.5x+11.7x) +(14.3y+22.8y)]

Perimeter=2[21.2x +37.1y]

using distributive property, we get

Perimeter=2(21.2x) +2(37.1y)

Perimeter=42.4x+74.2y

Therefore, the perimeter of the cardboard in terms of x and y is 42.4x+74.2y cm.

You might be interested in
Please show full solutions! WIll Mark Brainliest for the best answer. <br><br> SERIOUS ANSWERS ONLY
Ierofanga [76]

Answer:

  • vertical scaling by a factor of 1/3 (compression)
  • reflection over the y-axis
  • horizontal scaling by a factor of 3 (expansion)
  • translation left 1 unit
  • translation up 3 units

Step-by-step explanation:

These are the transformations of interest:

  g(x) = k·f(x) . . . . . vertical scaling (expansion) by a factor of k

  g(x) = f(x) +k . . . . vertical translation by k units (upward)

  g(x) = f(x/k) . . . . . horizontal expansion by a factor of k. When k < 0, the function is also reflected over the y-axis

  g(x) = f(x-k) . . . . . horizontal translation to the right by k units

__

Here, we have ...

  g(x) = 1/3f(-1/3(x+1)) +3

The vertical and horizontal transformations can be applied in either order, since neither affects the other. If we work left-to-right through the expression for g(x), we can see these transformations have been applied:

  • vertical scaling by a factor of 1/3 (compression) . . . 1/3f(x)
  • reflection over the y-axis . . . 1/3f(-x)
  • horizontal scaling by a factor of 3 (expansion) . . . 1/3f(-1/3x)
  • translation left 1 unit . . . 1/3f(-1/3(x+1))
  • translation up 3 units . . . 1/3f(-1/3(x+1)) +3

_____

<em>Additional comment</em>

The "working" is a matter of matching the form of g(x) to the forms of the different transformations. It is a pattern-matching problem.

The horizontal transformations could also be described as ...

  • translation right 1/3 unit . . . f(x -1/3)
  • reflection over y and expansion by a factor of 3 . . . f(-1/3x -1/3)

The initial translation in this scenario would be reflected to a translation left 1/3 unit, then the horizontal expansion would turn that into a translation left 1 unit, as described above. Order matters.

8 0
2 years ago
Mr. Alvarez has 36 kids in his 7th period class The ratio of boys to girls is 5:7. How many boys are there? How many girls are t
Eddi Din [679]

Answer: 15 boys

Explanation: ratio 5:7

5 + 7 = 12

Number of boys = 5/12 × 36

4 0
3 years ago
if a 12 sides regular polygon rotates about it’s center at which angle of rotation will the image of the polygon coincide with t
kotegsom [21]

360 / 12 = 30

So, it's 30 degrees.


Incidentally, a 12 sided polygon is called a dodecagon.



6 0
3 years ago
Read 2 more answers
Please only answer if you know
marusya05 [52]

Answer:

A, C

Step-by-step explanation:

A.)

32 / 8 * 5.25 ----> 4 * 5.25 ----> 21

C.)

4 * 12.5 / 2----> 49 / 2 ----> 24.5

6 0
3 years ago
Read 2 more answers
Does a/9=25 i dont know
Mamont248 [21]

Answer:

225

Step-by-step explanation:

225 ÷ 9 =25

8 0
2 years ago
Read 2 more answers
Other questions:
  • Finding the sum. imaginary numbers! hellpp
    14·1 answer
  • Find the area ratio of a cube with volume 125 m to a cube with volume 64 m.
    9·2 answers
  • Write the equation of a circle with a center at (6, 7) and a diameter of 4.
    8·1 answer
  • 3x - 12y = -30 and x - 6y = -12
    15·2 answers
  • The red team scored 4 goals. The blue team scored 3 times as many goals.How many goals did the blue team score?
    9·2 answers
  • Sean's grandfather is three years older than four times Sean's age. If Sean's grandfather is 63, which equation can be used to f
    15·2 answers
  • What is 9^7 written in expanded form ​
    7·1 answer
  • This dot plot is not symmetric, and the data set has two
    7·1 answer
  • Help me fast please I cant figure out this question!!!!
    13·1 answer
  • Help me please!!!<br><br> M<br> What is m
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!