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katrin2010 [14]
3 years ago
10

10. The population of India is 1.353 billion, and expected to grow at the rate of one percent

Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0

Answer:

39 years

Step-by-step explanation:

Adapt the formula A = P(1 + r)^n, letting P represent the original population, r the growth rate as a decimal fraction, and n the number of years.

Solve this for n:

2 billion = (1.353 billion)(1 + 0.01)^n

After simplification, we have:

   2

--------- = 1.01^n

1.353

Taking the log of both sides, we get:

log 2 - log 1.353 = n log 1.01, or

log 2 - log 1.353      0.1697

------------------------ = -------------- = 39 years (rounded off from 39.28)

      log 1.01              0.0043

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Answer: A. Use Pythagorean Theorem to prove that KL is equal to c.

=========================================================

Explanation:

If we could show that KL = c, then we can tie together the following pairs of segments

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Then we'd use the SSS congruence theorem to prove the triangles are congruent. The last step is to use CPCTC to conclude that angle EGF is a 90 degree angle.

Keep in mind that we need to know the actual numeric values of 'a' and 'b' to be able to determine the value for c. So without the numbers, the Pythagorean theorem isn't really useful; however, I can see where your teacher is going with this line of logic. Your teacher is effectively just laying out a basic outline more or less.

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Notes:

  • SSS = side side side
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