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geniusboy [140]
3 years ago
9

DOG A dog is leashed to the corner of a house. How much running area does the dog have? Explain how you found your answer.

Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0

Answer:

The area will be \frac{3\pi r^{2} }{4}  where r is the length of the leash.

Step-by-step explanation:

The area of a circle is pi times the radius squared. One forth of that area is not available for the dog to run: its the corner of the house. so what's left is 3/4 of the area of the circle. (3/4)πr²

Since the length of the leash is not given in the question, no specific Area can be answered. Once that value is substituted for r, the actual area can be calculated.

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To find this

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  1. To divide the triangles into these regions, you should construct the <u>perpendicular bisector</u> of each segment.
  2. These perpendicular bisectors intersect and divide each triangle into three regions.
  3. The points in each region are those closest to the vertex in that <u>region</u>.

<h3>What is a triangle?</h3>

A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

<h3>What is a line segment?</h3>

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

<h3>What is a perpendicular bisector?</h3>

A perpendicular bisector can be defined as a type of line that bisects (divides) a line segment exactly into two (2) halves and forms an angle of 90 degrees at the point of intersection.

In this scenario, we can reasonably infer that to divide the triangles into these regions, you should construct the <u>perpendicular bisector</u> of each segment. These perpendicular bisectors intersect and divide each triangle into three regions. The points in each region are those closest to the vertex in that <u>region</u>.

Read more on perpendicular bisectors here: brainly.com/question/27948960

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Answer:

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Step-by-step explanation:

l=2w

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2(3w)=96

6w=96,w= 96/6 = 16m

l=2w=2x16=32m

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