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Tju [1.3M]
3 years ago
11

What is the 5th term of this geometric sequence? 100, 20, 4, 0.8, …

Mathematics
1 answer:
Alex777 [14]3 years ago
6 0
First we have to find out the common number of them.
For that purpose, the first number should be divided by next number.
100/20 = 5
20/4 = 5
4/0.8 = 5

we have found that 5 is the common number.
0.8/5 = 0.16

therefore the answer is c
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6 0
3 years ago
9x-8(x-6)=52 what is the answer
Effectus [21]

Answer:

x = 4

Step-by-step explanation:

Step 1: Write equation

9x - 8(x - 6) = 52

Step 2: Solve for <em>x</em>

  1. Distribute -8: 9x - 8x + 48 = 52
  2. Combine like terms: x + 48 = 52
  3. Subtract 48 on both sides: x = 4

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

9(4) - 8(4 - 6) = 52

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36 + 16 = 52

52 = 52

7 0
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rosijanka [135]

Answer:

Options (1), (2), (3) and (4)

Step-by-step explanation:

By applying the sine and cosine rules in the given triangle,

sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(30°) = \frac{AC}{AB}

              = \frac{11\sqrt{3} }{22}

              = \frac{\sqrt{3}}{2}

sin(30°) = \frac{BC}{AB}

             = \frac{11}{22}

             = \frac{1}{2}

cos(60°) = \frac{BC}{AB}

              = \frac{11}{22}

              = \frac{1}{2}

sin(60°) = = \frac{AC}{AB}

              = \frac{11\sqrt{3} }{22}

              = \frac{\sqrt{3}}{2}

Options (1), (2), (3) and (4) are the correct options.

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