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Liono4ka [1.6K]
2 years ago
7

Find the Area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed. Round to the nea

rest tenths place.

Mathematics
1 answer:
iren [92.7K]2 years ago
5 0

Answer:

  72 square units

Step-by-step explanation:

The figure shown has a uniform horizontal cross section, so is equivalent to a rectangle with length 12 and height 6. Its area is given by the rectangle formula:

  A = LW

  A = (12)(6) = 72 . . . . square units

__

<em>Additional comment</em>

Essentially, the semicircle removed from the left side is tacked onto the right side. The rectangle area is unchanged by that.

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goblinko [34]
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3 years ago
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Reuben learned in art class that a mosaic is made by arranging small pieces of colored material such as glass or tile to create
anastassius [24]

Pattern is the rule that guides the formation of a set.

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  • <em>The sequence is arithmetic</em>
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From the given design, the number of tiles used is:

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T_2 = 8

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<u />

<u>(a) The first five</u>

Notice that the difference in the number of tiles of successive mosaic is 3.

This means that:

T_4 = T_3 + 3 = 11 +3 = 14

T_5 = T_4 + 3 = 14 +3 = 17

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<u>(b) The type of sequence</u>

The sequence is arithmetic

This is so, because the difference in the number of tiles of successive mosaic is 3.

This difference is called the common difference

<u>(c) The number of tiles in the tenth mosaic</u>

The nth term of an arithmetic sequence is:

T_n = T_1 + (n - 1) \times d

In this case:

T_1 = 5

d =3

n = 10

So, we have:

T_{10} = 5 + (10 - 1) \times 3

T_{10} = 5 + 9 \times 3

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3 years ago
Which statute generates statistical data that is generally cited to support findings.
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The statute generates statistical data that is generally cited to support findings is the Truth in Lending Act.

<h3>What is statistical data?</h3>

It should be noted that a statistical data simply means factual information that are recorded for analysis purpose.

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The answer is C, 6 x 4 = 24!
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