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
marusya05 [52]
1 year ago
14

Two figures are shown. EFJL is dialation of ABIK AB has a length of 12 and EF has a length of 3

Mathematics
1 answer:
Dimas [21]1 year ago
4 0

The scale factor of dilation from AB to EF is 0.25

<h3>How to determine the scale factor of dilation?</h3>

The given parameters are:

  • EFJL is dilation of ABIK
  • AB has a length of 12
  • EF has a length of 3

From the above parameters, side lengths AB and EF are corresponding sides

This means that:

The scale factor of dilation (k) is

k = AB/EF

So, we have

k = 3/12

Evaluate

k = 0.25

Hence, the scale factor of dilation from AB to EF is 0.25

Read more about scale factors at:

brainly.com/question/15891755

#SPJ1

You might be interested in
In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equat
NeTakaya

Answer:

The solution x = 229.89 ≅ 230 (since we cannot have a decimal number of sweatshirts)implies that, the money collected from selling sweatshirts equals the money used in producing sweatshirts when 230 sweatshirts have been sold or produced.

Step-by-step explanation:

Here is the complete question

In the first equation in the system of equations, y represents the money collected from selling sweatshirts. in the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league.

y=35x; y=-0.05(x-400)²+9,492

what does the solution of the system represent in this context?

Solution

The solution of the system is obtained when both equations are equal. That is y=35x = y=-0.05(x-400)²+9,492 .

So, 35x = -0.05(x-400)² + 9,492.

Expanding the right side, we have

    35x = -0.05(x² - 800x + 160000) + 9492

    35x = -0.05x² -800x × -0.05 + (-0.05) × 160000 + 9492

    35x = -0.05x² +40x - 8000 + 9492

    35x = -0.05x² +40x + 1492

Collecting all the terms to the left side, we have

0.05x² - 40x - 1492 + 35x = 0

0.05x² - 5x -1492 = 0

Using the quadratic formula,

x = \frac{-(-5) +/- \sqrt{(-5)^{2} - 4 X 0.05 X - 1492}  }{2X0.05}   = \frac{5 +/- \sqrt{25 + 298.4}  }{0.1} =  \frac{5 +/- \sqrt{323.4}  }{0.1}\\=  \frac{5 +/- 17.983 }{0.1}\\=  \frac{5 - 17.983 }{0.1}  or  \frac{5 + 17.983 }{0.1}\\= \frac{-12.983 }{0.1} or  \frac{22.983 }{0.1}\\= -129.83 or 229.83

We choose the positive answer x = 229.83. Since we cannot have a decimal number of sweatshirts, we approximate to the nearest whole number. So, x = 229.83 ≅ 230 sweatshirts.

The solution implies that the money collected from selling sweatshirts equals the money used in producing sweatshirts when 230 sweatshirts have been sold or produced.

We confirm that by plugging in x = 229.83 in both equations.

y = 35x = 35(229.83) = 8044.05 ≅ 8044.1

y=-0.05(x-400)²+9,492 = y=-0.05(229.83-400)²+9,492 = y=-0.05(-170.17)²+9,492 = y=-0.05(28,957.8289)+9,492 = -1447.8914 + 9492 = 8044.11 ≅ 8044.1

3 0
3 years ago
Read 2 more answers
What would be the expression after distributing, -3(x+5)?
polet [3.4K]

Answer:

-3x-15

Step-by-step explanation:

-3*x

-3*5

7 0
3 years ago
Read 2 more answers
This is taking forever to find out
frosja888 [35]

Answer:

What is

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Imagine each letter of the word ""mathematical"" is written on individual pieces of paper and placed in a bag. Should you pick a
Aleksandr-060686 [28]

Answer:

The question has a missing part and here it the complete question:

Imagine each letter of the word “Mathematical” is written on individual pieces of paper and placed in a bag. Should you pick a random letter from that bag, what is the probability that you pick a vowel?

Answer: 5/12

Step-by-step explanation:

The question asks for the probability of picking a vowel.

From the word 'Mathematical', we have a total of 12 letters and a total of 5 vowels (a,e,a,i,a).

Probability of picking a vowel = Total number of times the event(vowel) occurs/total number of possible outcomes(total letters)

Probability = \frac{5}{12}

6 0
3 years ago
What is the probability of getting a green, replace it back, and then pull another green?
Delvig [45]

Answer:

5/9 is the likelihood of 2 greens in a row or 55%

8 0
2 years ago
Read 2 more answers
Other questions:
  • A dog chases a squirrel. The dog is originally 200 feet away from the squirrel. The dog’s speed is 150 feet per minute. The squi
    9·1 answer
  • Determine whether the function has a maximum or minimum value. <br> f(×)= x^2+9
    11·2 answers
  • Which fraction is equal to 0.137
    14·1 answer
  • (Picture Included) could someone give me the answers to #6?
    12·2 answers
  • Solve the equation 8.5 -1.2 x =6.7
    9·2 answers
  • What is the value of this expression when x = -1 and y = -2?
    13·2 answers
  • I think I picked the right one not sure but really need help
    13·2 answers
  • A rectangle has a length of 9 meters and a height of 6 meters what is the area?
    5·1 answer
  • Multiply: –3.2 × (–13) × 6.
    15·2 answers
  • PLEASE HELP WILL GIVE BRAINLIEST!!! Type the correct answer in each box. If necessary, use / for the fraction bar(s).
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!