Answer:
A. a cube
B. a square prism
C. a rectangular prism
Step-by-step explanation:
The net of a given shape is the description of its three dimensional surfaces in two dimensional plane. From the given question, the 6 rectangular net of the shape has a condition that: the 6 rectangles may or may not be squares. Thus, the figure could be;
i. a cube
ii. a square
iii. a rectangular prism
The three options above have surfaces that could either be squares or rectangles.
Start by setting up the standard equation for perimeter of a parallelogram, P=2w+2h (these variables of course being width and height).
Now, substitute in what you know...
The problem tells us that width is equal to height minus four. This means that, in order to keep only one variable in this problem, we will write width as h-4.
The problem also tells us that 72 is the perimeter, so we substitute that for P.
72=2(h-4)+2h
Now solve from here.
(Distribute first)
72=2h-8+2h
(Combine like terms)
72=4h-8
80=4h
(Isolate h)
80/4=h
20=h
Now we know that the height is 20 meters. This means that the width, being four less than the height, is 16 meters.
Hope this helps! Good luck.
Answer:
c > 8
where c = cats
Step-by-step explanation:
Note that
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
We have been given a table that shows a linear relationship between x and y. We are asked to find the rate of change change of y with respect to x.
To solve our given problem, we will find the slope of the line passing through the given points.
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Let us find slope of line using points
and
.
![m=\frac{15-96}{-2-(-20)}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B15-96%7D%7B-2-%28-20%29%7D)
![m=\frac{-81}{-2+20}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-81%7D%7B-2%2B20%7D)
![m=\frac{-81}{18}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-81%7D%7B18%7D)
![m=-4.5](https://tex.z-dn.net/?f=m%3D-4.5)
Therefore, the rate of change of y with respect to x is
.
Answer:
(C) x=3 is the correct answer.