Answer:
Step-by-step explanation:
<u>The volume is the product of three dimensions, so the ratio of volumes is the cube of the scale factor:</u>
- k = 8/11
- k³ = (8/11)³ = 512 / 1331
Answer: 40%
Step-by-step explanation: First determine whether the number increases or decreases. Since the number changes from 100 to 140 it's getting bigger, so it increases.
To find the percent increase, we use the following formula.
The amount of change is the difference between the two numbers which is 40 and we get this by subtracting 100 from 140. The original number will be the number that we started with which is 100.
140/100 simplifies to 0<em>.</em>4.
Finally, we want the percent increase so we write 0<em>.</em>4 as a percent by moving the decimal point 2 places to the right to get 40%.
Therefore, the percent increase is 40%.
7^2 = 6^2 + 9^2 - 2(6)(9)cos(m)
-68 = 2(6)(9)cos(m)
cos(m) = -0.6296
m = arcos ( -0.6296)
m = 129.0 degrees
The probability that the letters CO remain next to each other (in order) as a unit is
.
<h3>
What is probability?</h3>
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. It is more likely that an event will occur if its probability is higher.
When the letters are arranged randomly in a row, the total number of arrangements is 40,320 , and the number of arrangements with the letters CO next to each other (in order) as a unit is 5,040.
Therefore, possible outcomes = 5040 and
Total outcomes = 40320
Probability = 
p = 
Therefore, the probability that the letters CO remain next to each other (in order) as a unit is
.
To learn more about probability with the given link
brainly.com/question/11234923
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