Answer:
An Acute triangle
Step-by-step explanation:
Using proportions, it is found that when the Axolotl was swimming, 8 breaks were taken.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, in each break there are 6 yards. How many breaks are there in 48 yards? Hence the <em>rule of three</em> is given by:
1 break - 6 yards.
n breaks - 48 yards.
Applying cross multiplication:
6n = 48.
n = 48/6.
n = 8.
8 breaks were taken.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
These horses can finish first, second and third in 1320 different ways.
Step-by-step explanation:
The order in which the horses finish is important. That is, horse A finishing 1st, horse B 2nd and horse C 3rd is a different outcome than horse B 1st, horse A 2nd and horse C 3rd.
So the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
![P_{(n,x)} = \frac{n!}{(n-x)!}](https://tex.z-dn.net/?f=P_%7B%28n%2Cx%29%7D%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-x%29%21%7D)
Assuming there are no ties, how many different ways can these horses finish first, second, and third?
12 horses.
3 first positions.
So
![P_{(12,3)} = \frac{12!}{(12-3)!} = 1320](https://tex.z-dn.net/?f=P_%7B%2812%2C3%29%7D%20%3D%20%5Cfrac%7B12%21%7D%7B%2812-3%29%21%7D%20%3D%201320)
These horses can finish first, second and third in 1320 different ways.
The answer for your question is 4x^2-15x+6+ 2/3x+5
Answer: |55.75 – (-15.8)| = |55.75 + 15.8| = |71.55| = 71.55
Step-by-step explanation: The distance between two positions with longitudes A and B is given by ||A| - |B|| if the two positions are at the same side of the meridian (0 degrees longitude) and |A| + |B| if both positions are at different sides of the meridian.