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stepladder [879]
3 years ago
13

The first three terms of a sequence are given. Round to the nearest thousandth (if

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
4 0

Answer:

The 49th term is 39.

Step-by-step explanation:

This is a decreasing arithmetic sequence.  We recognize this because the difference from one term to the next is 5.

The general formula needed here is a(n) = a(1) - 5(n - 1)

a(45) = 261 - 5(46 - 1), or

a(45) =  261 - 225 = 39

The 49th term is 39.

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Ella and Jake love to skateboard. They created a frame for the ramp and then covered it with wood.
Orlov [11]

Answer:

Step-by-step explanation:

  • Two triangular ends
  • Area of one = 1/2 b * h
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Area bottom

  • L = 3.5 m
  • w = 1.2
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Area Back

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Area Slanted piece

  • L = 3.5
  • w = 1.5
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Mrac [35]

Please find attached to this answer a well labelled diagram of the triangle

Answer:

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Step-by-step explanation:

From the question, we are to find the height at which the baseball fan was sitting.

From the attached diagram the height at which the fan was sitting is equivalent to the opposite side of the triangle.

Hence , the appropriate trigonometric function to use to solve this question is the sine function.

Sine = Opposite / Hypotenuse

Opposite is unknown so we refer to it as Y

Hypotenuse = 200feet

While the Angle of depression = 62°

Therefore,

Sine 62° = Y/ 200 feet

Cross multiply

Sine 62° × 200 feet = Y

Y = 176.58951857 feet

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Therefore , the height at which the fan is sitting is 176.6 feet

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