Explain why the apothem of a regular polygon must be less than the radius

1 answer:

5 0

By definition, the apothem of a polygon goes from the center of this figure to the midpoint of the segment and it forms an angle of 90 degrees with it.
The radius of a polygon goes from the center to one vertex. Therefore, they form a right triangle where the hypotenuse is the radius. As you know, the hypotenuse is the longer side of a right triangle, so you can conclude that the apothem of a regular polygon must be less than the radius.

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marta [7]

Answer:

$24.875

Step-by-step explanation:

If we use an equation to solve the total amount, like y=9.95x where x is the gallons purchased. We then multiply 9.95 by 2.5 to get 24.875

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3 years ago

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A parabola with vertex (h, k) and a vertical axis of symmetry is modeled by the equation y - k = a(x - h)2. Determine the vertex

Inessa05 [86]

y - k = a(x - h)²

y = (x − 5)² + 8 -------> y-8 = (x-5)²

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4 years ago

The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5 : 2 but, after Jacky gave 15 dolls to Peter, t

tester [92]

Answer:

35 [$]

Step-by-step explanation:

1) if Peter's sum is p and Jacky's is j, then the ratio 5:2 in the condition can be written j/p=5/2;

2) the phrase 'after Jacky gave 15 dolls to Peter, they have an equal number of dolls' can be written as j-15=p;

3) using the two above it is possible to make up the system of two equations:

$\left \{ {{\frac{j}{p} =5/2} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=2.5p} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=25} \atop {p=10}} \right.$