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earnstyle [38]
2 years ago
6

4. Which of the following is a geometric sequence?

Mathematics
1 answer:
Neporo4naja [7]2 years ago
4 0

Answer: Choice D

Explanation:

We can verify this by noticing the ratio between adjacent terms is the same

  • term2/term1 = -16/4 = -4
  • term3/term2 = 64/(-16) = -4
  • term4/term3 = -256/64 = -4

The common ratio is -4. Each time we need a new term, multiply the previous term by -4. Example: -16*(-4) = 64.

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2 years ago
Which is bigger 3/8 or 0.38
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Find the missing sides using special right triangles
ANTONII [103]

Answer:

The answers are;

m = 9, e = 9

Step-by-step explanation:

The question relates to right triangles with special properties;

The given parameters of the given right triangles are;

The measure of an interior angle of the triangle = 45°

The length of the given leg length of the triangle = (9·√2)/2

The length of the other leg length of the triangle = n

The length of the hypotenuse side = m

A right triangle with one of the measures of the interior angles equal to 45° is a special triangle that has both leg lengths of the triangle equal

Therefore;

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∴ n = (9·√2)/2

n = (e·√f)/g

Therefore, by comparison, we have;

e = 9, f = 2, and g = 2

By Pythagoras's theorem, we have;

m = √(n² + ((9×√2)/2)² = √((9×√2)/2)² + ((9×√2)/2)²) = √(81/2 + 81/2) = √81 = 9

m = 9.

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