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4 years ago

Which members are in the sample

Mathematics

1 answer:

Anna [14]4 years ago

5 0

Answer:

20, 26, 35, 18

Step-by-step explanation:

So starting at row 129, we look at the sequence two-digits at a time without overlapping. If that number is between 01 and 43, then they get selected.

The first two digits are 20. That fits between 01 and 43, so that member gets selected.

Next, we have 26. That also fits.

After that we have 64. Nope, too high.

98 and 44 are also too high.

35 fits though. So does 18.

So the members that get selected are 20, 26, 35, 18.

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3 years ago

Given cos ⁡ ( θ ) = 5/6 , then sin ⁡ ( θ ) = a/b .<br><br> Determine the values of a and b.

slega [8]

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a = √11 and b = 6

Step-by-step explanation:

Refer to attached picture for reference

for an right triangle with angle θ

we are given

cos θ = 5/6 = length of adjacent side / length of hypotenuse

hence

adjacent length = 5 units

hypotenuse length = 6 units

the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:

hypotenuse ² = adjacent ² + opposite² (rearrange)

opposite ² = hypotenuse ² - adjacent ²

opposite ² = 6² - 5²

opposite = √ (6²-5²) = √11

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sin θ = √11 / 6

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3 years ago