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Artemon [7]
3 years ago
12

How is the number of vertices related to the number of sides of the polygon and to the type of polygon? Give two examples.

Mathematics
1 answer:
Anestetic [448]3 years ago
8 0
Well,

Take a triangle.  It has three vertices and three sides.  The three vertices dictate that there will be three sides.  The same rule applies for a quadrilateral (four vertices and sides), a pentagon (five vertices and sides), etc.  So the number of vertices in a polygon is equal to the number of sides in the same polygon.

Taking this a step further, since the number of vertices are equal to the number of sides, we can conclude that a polygon with three vertices is a triangle, a polygon with four vertices is a quadrilateral, a polygon with five vertices is a pentagon, etc.
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Multiply. Express your answer in simplest form.
DENIUS [597]

Answer:

Bet

Step-by-step explanation:

It’s a simple one to write. There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? The answer is no, and that’s Fermat’s Last Theorem.

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

8 0
3 years ago
Calculate the perimeter of this figure.Round your answer to the nearest tenth.p=(?)ft 8,10,8.9,4
o-na [289]

Answer:

30.9

Step-by-step explanation:

8 + 10 + 8.9 + 4 = 30.9

5 0
2 years ago
1. Thales, an ancient Greek mathematician, and philosopher used certain triangles to find the height of unknown objects. He wait
charle [14.2K]
An equilateral triangle.

all sides are the same so the higth of the object will be the same as length of the shadow.
7 0
3 years ago
1. The sum of three times k and eight is eleven
ludmilkaskok [199]

Answer:

k=1

Step-by-step explanation:

3k + 8 = 11\\

Subtract 8 from both sides

3k = 3

Divide

\frac{3k}{3} = \frac{3}{3}

Simplify

k =1

4 0
3 years ago
Read 2 more answers
Caroline resting heart is 52 beats per minute (bpm). When she starts running her heart rate increases 1.25% each second until it
horsena [70]

Answer:74.55 beat per minute

Step-by-step explanation:

Given

Heart beat is 52 beat per minute

i.e. B=\frac{52}{60} beat per sec

If heart rate is increases 1.25 % each sec

suppose B is the heart beat at first second therefore heat beat at 2 nd second

B_2=B+1.25 \% B

B_2=B(1+1.25 \% )

For 3 rd sec

B_3=B(1+1.25\%)+1.25\%B(1+1.25\%)

B_3=B(1+1.25\%)^2

similarly for 3 sec

B_{30}=B(1+1.25\%)^{29}

B_{30}=1.433B

B_{30}=1.242\ \text{beat per second }

B_{30}=74.55\ \text{beat per minute}

4 0
3 years ago
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