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mario62 [17]
3 years ago
12

A triangle is placed in a semicircle with a radius of 5 yd, as shown below. Find the area of the shaded region.

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
7 0

Answer:

  14.25 yd^2

Step-by-step explanation:

The triangle area is given by the formula ...

  A = 1/2bh

Here, the base is 10 yd, and the height is 5 yd, so ...

  triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2

__

The semicircle is half the area of a circle with radius 5 yd, so its area is ...

  semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2

__

The shaded region is the difference between these areas:

  shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2

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The correct set of data for the stemplot is the option;

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<h3>Method by which the above option is selected</h3>

The data in the stemplot are;

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Given that there are no values in the 300,000s, and that 181,000 appear twice, the option that corresponds to the above data is therefore;

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2 years ago
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The equation of the new line is y = -5x - 6.


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