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I am Lyosha [343]
2 years ago
5

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)

Mathematics
1 answer:
Helen [10]2 years ago
7 0

Answer:

A = 27π cm²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

the central angle of the shaded sector = 360° - 90° = 270° , then

A = πr² × \frac{270}{360}

  = π × 6² × \frac{3}{4}

  = 36π × \frac{3}{4}

  = 9π × 3

 = 27π cm²

 

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Step-by-step explanation:

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An arithmetic sequence "a" starts with 84, 77 define "a" recursively
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Answer:

First, let's define an arithmetic sequence:

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Then we can write it in a general way as:

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where:

aₙ is the n-th term of the sequence.

d is the constant difference between two consecutive terms.

a₁ is the initial term of our sequence.

Now in this case we know that the first terms of our sequence are:

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Then we know the initial term of our sequence:

a₁ = 84.

And the value of d can be calculated as:

d = a₂ - a₁ = 77 - 84 = -7

Then the general way of writing this sequence is:

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aₙ = aₙ₋₁ - 7

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Step-by-step explanation:

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Answer:

7 wrong answers.

Step-by-step explanation:

We know that when you answer a question well, you earn 8 points and a bad one loses 5 points, this means that when you answer 1 good and 1 bad, there is a total of 3 points (8-5).

This means that when answering 5 good and 5 bad, in total it would be 3 * 5 points, that is to say 15 points, that is, it goes through 2 points. To subtract 2 points, you would have to answer 1 good and 2 bad, (8 - 2 * 5), which turns out to be -2 points.

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Which means you got 7 wrong answers.

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