The coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.
<h3>What is a transformation?</h3>
A transformation can be defined as the movement of a point on a cartesian coordinate from its original (initial) position to a new location.
<h3>The types of transformation.</h3>
In Geometry, there are different types of transformation and these include the following:
Based on the information provided, triangle UVW would be rotated counterclockwise through an angle of 270 degree at origin to produce triangle U'V'W', we have:
![\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C-1%260%5Cend%7Barray%7D%5Cright%5D)
Therefore, the image of triangle UVW would be given by this matrix:
![\left[\begin{array}{ccc}-3&8&6\\8&4&-8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%268%266%5C%5C8%264%26-8%5Cend%7Barray%7D%5Cright%5D)
Image = ![\left[\begin{array}{ccc}8&4&-8\\3&-8&-6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%264%26-8%5C%5C3%26-8%26-6%5Cend%7Barray%7D%5Cright%5D)
Based on the image above, we can logically deduce that the coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.
Read more on transformations here: brainly.com/question/12518192
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Answer:
Table B
Step-by-step explanation:
If you see any number in the input being used more than once, it is not a function. If all numbers of the input are different, it is a function.
Only Table B is a function since all input numbers are different.
Answer:
d.a cluster sampling
Step-by-step explanation:
This plan exemplifies Cluster sampling. It is a sampling method where populations are placed into different separate groups like here into freshman, sophomore, junior, and senior classes. A random sample of these groups is then selected as here thirty students selected from each group to represent a specific population.<u> It is usually used in that type of research when there is no possible way to find information about a population as a whole.</u>
*The width in your question - I assumed it is refers to the height of the triangle base.
Volume of a triangle prism = base area x height
The base is a triangle:
Volume of a triangle prism = (1/2 x base x height₁) x height₂
Plug in the values and solve for height₂:
50.4 = (1/2 x 9 x 3.5) x height
50.4 = 15.75 x height
height = 50.4 ÷ 15.75
height = 3.2 units
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Answer: Height = 3.2 units
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Answer:
I'm not sure, but it might be 120.
