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
Alik [6]
3 years ago
15

Triangle ABC has the following coordinates: A(4 , 5), B(5 , 3), and C(2 , 3). Part A: If triangle ABC is dilated by a scale fact

or of 3, what are the coordinates for the new triangle? Compare and contrast the original coordinates to the new coordinates. Part B: If the scale factor was unknown, how could the coordinates of the two triangles be used to determine the scale factor?
Mathematics
1 answer:
Kobotan [32]3 years ago
8 0

The new coordinates of A'B'C' creates a triangle that is larger than ABC.

<h3>Transformation</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, reflection, rotation and dilation.</em>

If a point A(x, y) is dilated by a scale factor k, the new point is at A'(kx, ky).

Given that:

  • Triangle ABC has the following coordinates: A(4 , 5), B(5 , 3), and C(2 , 3)

If it is dilated by a scale factor of 3, the new point is at:

  • A'(12, 15), B'(15, 9) and C'(6, 9)

Therefore the new coordinates of A'B'C' creates a triangle that is larger than ABC.

Find out more on dilation at: brainly.com/question/10253650

You might be interested in
A local maximum of the function f(x) occurs for which x-value?
Ahat [919]

Answer:

number one is corrected basses hock\why hello are to you girt him

Step-by-step explanation:

helloed are THU the most of them are you

4 0
3 years ago
Read 2 more answers
Solve sin(2x)cos(6x)-cos(2x)sin(6x)=-0.7
RSB [31]

Answer:

x = π/4 - 1/4 sin^(-1)(7/10) + (π n_1)/2 for n_1 element Z

or x = (π n_2)/2 + 1/4 sin^(-1)(7/10) for n_2 element Z

Step-by-step explanation:

Solve for x:

cos(6 x) sin(2 x) - cos(2 x) sin(6 x) = -0.7

-0.7 = -7/10:

cos(6 x) sin(2 x) - cos(2 x) sin(6 x) = -7/10

Reduce trigonometric functions:

-sin(4 x) = -7/10

Multiply both sides by -1:

sin(4 x) = 7/10

Take the inverse sine of both sides:

4 x = π - sin^(-1)(7/10) + 2 π n_1 for n_1 element Z

or 4 x = 2 π n_2 + sin^(-1)(7/10) for n_2 element Z

Divide both sides by 4:

x = π/4 - 1/4 sin^(-1)(7/10) + (π n_1)/2 for n_1 element Z

or 4 x = 2 π n_2 + sin^(-1)(7/10) for n_2 element Z

Divide both sides by 4:

Answer: x = π/4 - 1/4 sin^(-1)(7/10) + (π n_1)/2 for n_1 element Z

or x = (π n_2)/2 + 1/4 sin^(-1)(7/10) for n_2 element Z

8 0
3 years ago
In a study of 259 comma 995 cell phone​ users, it was found that 121 developed cancer of the brain or nervous system. Assuming t
IRISSAK [1]

Answer:

The probability of having 121 cases or less is:

P(X

This suggests that the study does not show any significantly effect of the use of cell phone in the probability of having brain or nervous system cancer. The use of cell phone does not appear to be a significant factor in the risk of having this type of cancer.

Step-by-step explanation:

We start by calculating the expected standard deviation of the population cases:

\sigma=\sqrt{n\pi(1-\pi)}=\sqrt{259,995*0.000489*0.999514}\\\\\sigma=\sqrt{126.29}\\\\\sigma=11.24

Then, to calculate the probability, we first calculate the z-score for 121 cases.

z=\dfrac{X-\mu}{\sigma}=\dfrac{121-127}{11.24}=\dfrac{-6}{11.24}=-0.5338

The probability of having 121 cases or less is:

P(X

This suggests that the study does not show any significantly effect of the use of cell phone in the probability of having brain or nervous system cancer. The use of cell phone does not appear to be a significant factor in the risk of having this type of cancer.

3 0
4 years ago
An a adult ticket to the zoo costs $20 and a child’s ticket costs $10.How much will it cost for Mr. and Mrs.Brown and their 4 ch
liubo4ka [24]

Answer:

Step-by-step explanation:

you add 20 for mr brown 20 for mrs brown 10 for kid one 10 for kid 2 ten for kid 3 and 10 for kid for giving you a grand total of 80 dollars

5 0
3 years ago
Read 2 more answers
Name a fraction that is equivalent to three twelfths and also has a denominator that is less than 12. Explain how you found your
CaHeK987 [17]

Answer:

one fourth

Step-by-step explanation:

if you simplify 3 twelfths by doing 12 divided by 3 you get 4 so the denominator is 4 and your numerator is 1.

3 0
3 years ago
Read 2 more answers
Other questions:
  • The value of x is ?​
    9·2 answers
  • [WILL MARK BRAINLIEST]
    9·2 answers
  • The sum of the first five terms of 3,-9,27,-81
    10·1 answer
  • <img src="https://tex.z-dn.net/?f=%202%5Cfrac%7B3%7D%7B4%7D%20%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20" id="TexFormula1" title=" 2\fra
    5·1 answer
  • Explain why the initial value of any function of the form<br> f(x) = a(br) is equal to a.
    11·1 answer
  • Tim had 267 dollars to spend on 9 books. After buying them he had $15. How much did each book cost
    6·2 answers
  • Which expressions are equivalent to -6 +49 +(-6q)?<br> Choose all answers that apply:
    10·2 answers
  • <img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B27%7D%20%5Ctimes%20%20%20%5Csqrt%5B3%5D%7B16%7D%20%20%3D%20%20%20%20" id="
    15·1 answer
  • en una bolsa hay menos de 30 semillas. podemos hacer grupos de 4 semillas sin que sobre ninguna. si hacemos grupos de 5 semillas
    14·1 answer
  • PLEASE AWNSEERRRRRRRRRRR wILL GIVE BRANILIEST
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!