What is the product of (1.2)×5
2 answers:
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Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.
<h3>What is an exponential function?</h3>An exponential function is modeled by:
In which:
- a is the initial value.
- b is the rate of change, as a decimal.
In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:
The population will be of 600 when A(t) = 600, hence:
Hence:
t/8 = 3.
t = 24.
It will take 24 years for the current population of 4800 deer to reduce to 600.
More can be learned about exponential functions at brainly.com/question/25537936
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Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:
Substituting the given expression for each segment in the first equation, we get:
Solving the above equation for x, we get:
Substituting x=10 in the equation for segment EI, we get:
Therefore:
Now, to determine the measure of angle IEH, we notice that:
therefore,
Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get: