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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
Concentric circles have radil of 4 cm and 8 cm. What is the probability that a
monitta

The probability that a  grain of rice dropped onto the circles at random lands outside the circle with the  4-cm radius and inside the circle with a radius of 8 cm is \frac{3}{4} or 75%.

Step-by-step explanation:

Step 1:

First, we need to calculate the areas of both circles.

The area of a circle = \pi r^{2} where r is the radius of the circle.

The inner-circle has a radius of 4 cm.

The area of the inner circle= \pi (4^{2})= 3.1415(16) = 50.264.

The outer circle has an inner radius of 4 cm and an outer radius of 8 cm.

So its area is \pi (R^{2} -r^{2} ) where R is the outer radius and r is the inner radius.

The area of the outer circle= \pi (8^{2} -4^{2})= 3.1415(64-16).

3.1415(48) = 150.792.

So the inner circle has an area of 50.264 square cm and the outer circle has an area of 150.792 square cm.

Step 2:

To find the probability of an event we divide the number of favorable outcomes by the total number of outcomes.

The total number of outcomes is the area of the entire circle

= 50.264+150.792 = 201.056 square cm.

The number of favorable outcomes is the area of the outer circle i.e. 150.792 square cm.

The probability of the rice falling in the outer circle =\frac{150.792}{201.056} = \frac{3}{4} = 75 \%.

7 0
3 years ago
For the following report about a statistical study, identify the items below.
Fittoniya [83]

Answer:

Check Explanation

Step-by-step explanation:

In finding the public's view on pollution, the researchers waited outside a car dealership they had randomly selected from a list of such establishments. They stopped every 10th person who came out of the dealership and asked whether he or she thought pollution was a serious problem.

A) The population

The population is the sum total of every member of the public whose opinions on pollution, the researchers are interested in.

B) The population parameter of interest

Since the researchers stopped every member of the sample to ask them whether they thought pollution was a serious problem or not, it follows that the population parameter of interest is the proportion of the population who think that pollution is a serious problem.

C) The sampling frame

The sampling frame is defined as the source material where the sample is drawn from. And for this question, the sampling frame is the population of people leaving car dealership establishments.

D) The sample

The sample is the set of people that were asked the question of whether population was a serious problem or not. The sample includes every 10th person that came out of the chosen car dealership establishments.

E) The sampling method

Note that

- In random sampling, each population member would have an equal chance of being surveyed.

- Stratified sampling divides the population into groups called strata. A sample is taken from some or all of these strata using either random, systematic, or convenience sampling.

- In systematic sampling, a particular number, n, is counted repeatedly and each of the nth member is picked to be sampled.

Hence, this stratified sampling method uses random sampling technique to pick the strata where the samples will be obtained from and systematic sampling is now used for the picking of the members of the sample.

F) Any potential sources of bias you can detect and any problems you see in generalizing to the population of interest.

This survey only limits the members of the sample to those who visit a car dealership, and this cuts out a large percentage of the total population of humans.

Mostly men visit car dealership establishments, Hence, women, children, old people are at a disadvantage as they do not all have an equal chance of being surveyed.

Infact, only a financial class of the population visits car dealership establishments, so, it would be very wrong with all of this bias to use the results of this surveyor generalize for the whole population of people.

Hope this Helps!!!

8 0
3 years ago
In the polynomial function below, what is the leading coefficient?
7nadin3 [17]

THE ANSWER IS 8 ON APEX!

7 0
3 years ago
Read 2 more answers
PLEASE HELP WORTH 15 PTS
beks73 [17]

Answer: $65,000

Step-by-step explanation: Each box worth $5,000


4 0
4 years ago
Which answer choice correctly solves for a and b?
Zepler [3.9K]

Answer:

C

Step-by-step explanation:

Using the sine ratio and the exact value sin45° = \frac{1}{\sqrt{2} } , then

sin45° = \frac{opposite}{hypotenuse}  = \frac{6}{a} = \frac{1}{\sqrt{2} } ( cross- multiply )

a = 6\sqrt{2}

Using the tangent ratio and the exact value tan45° = 1 , then

tan45° = \frac{opposite}{adjacent} = \frac{6}{b} = 1 , so

b = 6

6 0
3 years ago
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