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Using the geometric mean concept, it is found that the value of a is 18.
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The geometric mean, of a data-set of n elements, , is given by:
That is, the nth root of the multiplication of all elements.
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In this question:
- Two elements(n = 2), a and 34.
Thus:
We find the square of each side, so:
Simplifying both sides by 17:
The value of a is 18.
A similar example is given at brainly.com/question/15010240
Answer: option a.
Step-by-step explanation:
By definition, we know that:
Substitute into the first equation, solve for the cosine and simplify. Then, you obtain:
As then
:
Now we can find :