Consider the equation below. (If an answer does not exist, enter DNE.)
1 answer:
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Answer:
The arithmetic mean is 10.9
Step-by-step explanation:
In this question, we are tasked with calculating the arithmetic mean using the information given.
The arithmetic mean or otherwise called the average is the sum of all the values in a given set divided by the number of elements or count of the elements in that particular data set
Mathematically, the arithmetic mean can be found by dividing the sum of the data values by the number of data values.
In equation form, we have
Inserting the values, we have Arithmetic mean = 10998/1007 = 10.92 which is 10.9 to the nearest tenth
Answer:
Step-by-step explanation:
We are given that:
Where both A and B are positive acute angles.
And we want to find he value of sin(A-B).
Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.
Then by the Pythagorean Theorem, the hypotenuse is:
Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.
Then by the Pythagorean Theorem, the adjacent is:
Therefore, we can conclude that:
So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.
For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.
We can rewrite sin(A-B) as:
Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)
Evaluate: