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4 years ago

Explain clearly why a regular hexagon will tessellate but a regular decagon will not.

Mathematics

1 answer:

Nady [450]4 years ago

5 0

A regular hexagon have an interior angle of 120°, while a regular decagon have an interior angle of 144°.

The regular hexagon will tessellate because 3 hexagons can be tessellated at a point. (360° / 120° = 3)

The regular decagon will not tessellate because 360° is not divisible by 144°.

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ElenaW [278]

Answer:

acute angle

Step-by-step explanation:

<h2><em><u>Finding the angle </u></em></h2>

an obtuse angle is an angle which is more than 90° but less than 180°

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a straight angle is 180°

an acute angle is less than 90°

is you look at the picture and the definitions you can notice that the angle is less than 90 ° hence its an <u>acute angle </u>

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3 years ago

A fish is 8 feet below sea level. A bird is flying 6 feet above sea level. Write each amount as an integer.

saveliy_v [14]

Answer:

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3 years ago

There are 32 radios , 8 of them are out of order. what percent of radios are out of order ?

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3 years ago

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The circumference of the circle below is 20 cm. What is the length of AB (the minor arc)?

SOVA2 [1]

Answer: $AB=5.27\ cm$

Step-by-step explanation:

For this exercise it is important to remember that, by definition, the length of the minor arc can be calculated wih the following formula:

$arc\ length=(\frac{central\ angle}{360\°})(circumference)$

In this case , according to the data given in the exercise, you know that:

$arc\ length=AB\\\\central\ angle=95\°\\\\circumference=20\ cm$

Therefore, susbtituting those values into the formula, you get that length of AB is the following:

$AB=(\frac{95\°}{360\°})(20\ cm)\\\\AB=(\frac{191}{72})(20\ cm)\\\\AB=5.27\ cm$

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3 years ago