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Answer:
CS = 4
Step-by-step explanation:
From the figure below;
Triangle ABC is similar to triangle RSC
Therefore, the ratio of the corresponding sides in the two triangles is equal;
That is;
In this case, CR = 2 , RA = 3 and BC = 10 we are required to determine CS
But;
AC=CR + RA
= 5
Assuming CS is y, then
Therefore, CS is 4
The turtle population will be 486 after 5 years.
<u>Step-by-step explanation</u>:
The general form of a geometric progression or geometric sequence is a, ar, ar², ar³ and so on.
where,
- a = first term
- r = common ratio
<u>The formula to find the nth term in GP is :</u>
nth term =
The given sequence 6,18,54.
In this sequence,
- The first term, a = 6
- The common ratio, r = 18/6 = 3
5th term =
⇒
⇒ 681
⇒ 486
Therefore, after 5 years the population will be 486.