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Setler [38]
3 years ago
14

1. Suppose an arithmetic sequence has common difference 5,and the current

Mathematics
1 answer:
Anna [14]3 years ago
5 0

Answer:

55

Step-by-step explanation:

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What is the error due to using linear interpolation to estimate the value of sinxsin⁡x at x = \pi/3? your answer should have at
Serhud [2]
<h3>Answer:</h3>
  • using y = x, the error is about 0.1812
  • using y = (x -π/4 +1)/√2, the error is about 0.02620
<h3>Step-by-step explanation:</h3>

The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.

If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...

... x -sin(x) @ x=π/3

... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812

You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.

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If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...

... (x+1-π/4)/√2 -sin(x) @ x=π/3

... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620

6 0
4 years ago
The perimeter of the figure below is 140 ft. <br> Find the length of the missing side.
djyliett [7]

Answer:

9.2 ft

Step-by-step explanation:

140 - 9.6 - 10.2*8 - 19.8*2 = 9.2

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7 0
3 years ago
Justin earns 5% commission on his real estate sales. One year, his total commission was 35,750. What were his sales for that yea
Ymorist [56]

The sales for the particular year was: 715000

Step-by-step explanation:

We will use the percentage formula for finding the total sales.

Given

Commission Rate = 5%

Commission = 35750

Let x be the sales

So,

Commission=Sales * 5\%\\35750=x * \frac{5}{100}\\35750=x * 0.05\\x = \frac{35750}{0.05}\\x= 715000

The sales for the particular year was: 715000

Keywords: Commission, Percentage

Learn more about percentage at:

  • brainly.com/question/10883914
  • brainly.com/question/10901103

#LearnwithBrainly

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