Answer: Rotation, Translation and Reflection
Explanation
Rotation, translation and reflection moves the shape, resulting in a congruent shape but in a different position. Dilation changes the length/width of the shape. The shape can be similar, but not congruent.
Answer:
The width of the garden bed must be less than or equal to 4 feet.
![w\leq4](https://tex.z-dn.net/?f=w%5Cleq4)
Explanation:
Given that;
She has 20 feet of boards to make the sides.
The perimeter of the garden bed must not be more than 20 feet
![\begin{gathered} P=2l+2w\leq20 \\ 2l+2w\leq20 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%3D2l%2B2w%5Cleq20%20%5C%5C%202l%2B2w%5Cleq20%20%5Cend%7Bgathered%7D)
Given;
The length is 6 feet;
![l=6](https://tex.z-dn.net/?f=l%3D6)
To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;
![\begin{gathered} 2l+2w\leq20 \\ 2(6)+2w\leq20 \\ 12+2w\leq20 \\ 2w\leq20-12 \\ 2w\leq8 \\ \frac{2w}{2}\leq\frac{8}{2} \\ w\leq4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%202l%2B2w%5Cleq20%20%5C%5C%202%286%29%2B2w%5Cleq20%20%5C%5C%2012%2B2w%5Cleq20%20%5C%5C%202w%5Cleq20-12%20%5C%5C%202w%5Cleq8%20%5C%5C%20%5Cfrac%7B2w%7D%7B2%7D%5Cleq%5Cfrac%7B8%7D%7B2%7D%20%5C%5C%20w%5Cleq4%20%5Cend%7Bgathered%7D)
Therefore, the width of the garden bed must be less than or equal to 4 feet.
Answer:
I’m afraid I can’t help you. The question makes no sense because the question doesn’t explain how many students there are. It just gives the weight of the books which I assume is useless
Step-by-step explanation:
Answer:
A is correct
Step-by-step explanation:
In this question, we are concerned with. calculating the diameter of a bubble given the volume of the bubble.
Since we have assumed the bubble to be a perfect sphere, it’s volume V = 4/3 * pi * r^3
Plugging the value of V = 1000cm^3 , we have
1000 = 4/3 * pi * r^3
3000/4pi = r^3
r^3 = 238.732
r = cube foot of 238.732
r = 6.20cm
This is same as 6.2cm
In order for two linear lines to be perpendicular, the product of their gradient must be -1.
Let's take y = x + b and y = -x + b
This is already in the form: y = mx + b, where m is 1 and -1 respectively.
Since the product of their gradient is -1, they are said to be perpendicular.