Answer:
5√3
Step-by-step explanation:
The <em>geometric mean</em> (GM) of two numbers x and y is the square root of their product.
Thus, the GM of x and y is √(xy).
The GM of 3√5 and 5√5
= √(3√5 × 5√5)
= √[3 × 5 × (√5)²]
= √(3 × 5 × 5)
= √(3 × 5²)
= 5√3
Based on the right angle triangle and the given parameters, cos K = 5/13
<h3>Trigonometric ratios</h3>
- sin = opposite / hypotenuse
- cos = adjacent / hypotenuse
- Tan = opposite / adjacent
Given parameters:
- Hypotenuse = 13
- Adjacent = 5
- Opposite = 12
Therefore,
cos K = adjacent / hypotenuse
cos K = 5/13
Learn more about right triangle:
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If we just have

that's an amplitude of 1 and a period of 
Let's modify this step by step.
Amplitude of 4. Four times the amplitude means a factor of 4 on the outside.

Period of π. Double the period means a factor of 2 on the inside.

Horizontal shift of π/2 to the left. To the left means adding a positive number to x. The question appear ambiguous. It's not clear to me if we add to x or 2x; let's make it

Vertical shift of 3:


Depending on the interpretation of the phase shift, that pi may be a pi/2.
Answer: 