Solution:
As always, try to find a way of looking at the problem that makes the solution simple. In this problem, regardless of the current state of the puzzle, a move consists of combining two clusters into a single cluster. Therefore every move reduces the number of clusters by 1. Since we begin with 2000 clusters (the single pieces) and end with 1 cluster, we need
\[2000-1=\boxed{1999}\]
moves to complete the puzzle.
Answer:
Option A
Step-by-step explanation:
Given the following question:
Mrs. Hernandez earns $35.60 an hour
One week she earned $854.40
To find the answer we divide 8,544 by 356
Mrs. Hernandez worked "24 hours last week" by using the first options equation, we can find that answer.
Hope this helps.
Answer:
- a rotation, followed by a translation
- a translation, followed by two reflections
Step-by-step explanation:
The rigid motions are the transformations that produce congruent images.
There are three main kinds of rigid motions :
- Reflections : Flips a figure across a line of reflection.
- Rotations : Rotates a figure about some degrees around a center point.
- Translations : Moves figure on a plane about some distance in a certain direction.
But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.
So, the options having dilation and term "stretch" cannot produce congruent figures.
Hence, the correct options are :
- a rotation, followed by a translation
- a translation, followed by two reflections
Without rounding, I make it six. You could do it this way
54527/5^6 comes to a little over 3. That should be close enough. I'm going to check this by doing the divisions. I could let the computer do it, but I'd like to see if there's a pattern. There isn't and the correct answer is
6 <<<< divisions.
Answer:
a=-3/7 b=-2/8 c=-0.2
Step-by-step explanation:
