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4 years ago

9

A regular hexagon rotates counterclockwise around its center. It turns through angles greater than 0° and less or equal to 360°.

At how many different angles of a hexagon map onto itself?

1 answer:

Sonja [21]4 years ago

6 0

there are 6 sides to a hexagon

360/6 = 60 degrees

so it will map onto itself at 60, 120, 180, 240, 300 & 360

there are 6 different angles

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Andre45 [30]

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3 years ago

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In which question is r = -17 a solution?

devlian [24]

Answer:

None

Step-by-step explanation:

Simply solve each linear equation and get value of R.

Or another way can be to put value of R in all four options and find whether left hand side is equal to right hand side or not.

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3 years ago

In the right triangle shown, \angle B = 60^\circ∠B=60

Liono4ka [1.6K]

Answer:

Part 1) $AC=6\sqrt{3}\ units$

Part 2) $AC=12\sqrt{3}\ units$

Step-by-step explanation:

I will analyze two problems

see the attached figure to better understand the problem

Problem 1

The hypotenuse is the segment AB and the right angle is C

we know that

In the right triangle ABC

$sin(B)=\frac{AC}{AB}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

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Remember that

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substitute

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The hypotenuse is the segment BC and the right angle is A

we know that

In the right triangle ABC

$tan(B)=\frac{AC}{AB}$ ---> by TOA (opposite side divided by the adjacent side)

substitute the given values

$tan(60^o)=\frac{AC}{12}$

Remember that

$tan(60^o)=\sqrt{3}$

substitute

$\sqrt{3}=\frac{AC}{12}$

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Answer:

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