Answer: A. preserves length, angle measures and distance between points
Rigid motions or isometries are any of the three transformations below
- translation (aka shifting)
- rotation
- reflection
Any of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.
If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.
The equation is:
[e^x] [e^(2x)] = 4
1) Applying property of multiplication of powers wiith same base =>
e ^ (x + 2x) = 4
=> e ^ (3x) = 4
2) Applying logarigth properties
3x = ln(4)
=> x = ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621
Answer: x = ln(4) / 3 ≈ 0.4621
The percentage change in the staff strength of the grocery store is 10.53%.
<h3>How to find the percentage change?</h3>
We are given;
Number of employees in store = 38 employees
Number of additional people hired = 4 employees
Thus, percentage change in their staff is;
4/38 * 100% = 10.53%
Thus, the percentage change in the staff strength of the grocery store is 10.53%.
Read more about Percentage change at; brainly.com/question/2085058
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A. He eats 1/8 a pound of candy each day.
B. It would take him a total of 8 days to eat a pound of candy.
A. Since he ate 10 ounces in 5 days, you divide 10 by 5 to find he ate 2 ounces per day. Since there are 16 ounces in a pound that would be your denominator (bottom of fraction) and 2 would be the numerator (top of your fraction). You will get 2/16 which if you simplify (divide by 2) you get 1/8.
B. Knowing that there are 16 ounces per pound and he ate 1/8 pound ( 2/16 pound or 2 ounces) a day, you can either look at the simplified denominator to get the answer, or, divide 16 by 2 to get your answer.
I hope this helps!
Answer:
The answer should be around 1,149663 (Rounded off to the nearest whole number. Also if a population has a remainer you usually add it as 1. This is because these are people)
Step-by-step explanation:
First step involves listing the formulas being used:
600,000= population, 0.03= growth rate 22years= period
Therefore, we take the 600,000 and multiply by 1+0.03 ^22(to the power of 22 or period)
So, 600,000(1+0.03)^22
=1,149662.045 /1,149663
Hope this helps!
