Pls help look at both pictures i need 2 answers....
2 answers:
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Answer:
The population will be of 2400 in 36 years.
Step-by-step explanation:
The equation for the population of plants after t years follows the following format:
In which P(0) is the initial amount of plants and r is the yearly rate which it increases.
Assuming that the initial population is 300
This means that P(0) = 300.
The doubling time of a population of plants is 12 years.
This means that P(12) = 2*300 = 600.
We use this to find r.
So
How large will the population be in 36 years
This is P(36)
The population will be of 2400 in 36 years.
The two triangles are similar by the AA Similarity theorem.
The height of the tree can be calculated by figuring out the ratio between the distance between the mirror to her feet and the distance from the mirror to the tree
<h3>How to use the concept of similar Triangles?</h3>From Law of Reflection, we know that the angle of incidence and the angle of reflection are equal to each other.
Now, triangles can be proved similar by the AA, SAS, or SSS theorems. However, in this question, the triangles as seen in the attached image can be proved similar by the AA similarity theorem.
This is because both triangles have one congruent angle in common.
Sarah and the tree are standing straight and perpendicular to the ground and as such, the angles formed by Sarah and the tree are right angles.
The above tells us that the two triangles have two angles in common, making them similar triangles by the AA (Angle Angle) similarity theorem.
Since the triangles are similar, it means that the ratios of the sides of the triangles will be the same. Thus, if Sarah knows the distance from the mirror to her feet and the distance from the mirror to the tree, she can create the ratio between the two triangles.
Read more about Similar Triangles at; brainly.com/question/14285697
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