What is the length of the line?
1 answer:
Hi there!
Use the Pythagorean theorem to find the length of the line.
If we draw an imaginary right triangle using the given line as the hypotenuse, we can derive a height of 6 units and a length of 10 units.
Use the Pythagorean theorem equation:
c² = a² + b²
Plug in the height and length:
c² = 6² + 10²
Simplify:
c² = 36 + 100
c² = 136
Take the square root of both sides:
c = √136. The correct answer is D.
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The population function of the Western Lowland Gorillas can either represent population growth or population decay
<h3>How to model the population</h3>The question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.
So, I will give a general explanation to solve the question
A population function can be represented as:
Where:
- The initial population of the Western Lowland Gorillas is represented by (a)
- The rate at which the population changes is represented by (r)
- The number of years since 2022 is represented by (x)
- The population in x years is represented by (y)
From the question, we understand that the population of the Western Lowland Gorillas decreases.
This means that the rate of the function would be an exponential decay i.e. 1 -r
Take for instance:
By comparison.
a = 2000 and 1 - r = 0.98
The above function can be used to model the population of the Western Lowland Gorillas
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