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3 years ago

One side of a regular hexagon is 18 cm. which is the perimeter

2 answers:

8 0

"Hexagon" means it has six sides.
"Regular" means all of its sides are the same length.

So the perimeter of a regular hexagon is (6) times (the length of any side).

6 x 18 cm = 108 cm

mel-nik [20]3 years ago

6 0

6 sides to a hexagon
if one side is 18 cm, then you can solve this by creating the equation:
18*6=108
the perimeter is 108 cm

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The perimeter of an equilateral triangle is 12\/3 cm. Find the radius, apothem and area of the equilateral triangle.

Irina-Kira [14]

Answer:

Radius - 4

Apothem - 2

Area - $12\sqrt{3}$ or 20.8

Step-by-step explanation:

Try to draw out my explanation so you know what this looks like.

~~~~

This is an equilateral triangle, so all sides are the same length. The perimeter can be divided by 3 to get each side length...

$12\sqrt{3} \div3 = 4\sqrt{3}$

Now that we know the side lengths, we can get this started!

~~~~

Now, an equilateral triangle has angles that all equal 60 degrees. We can bisect this into TWO special case triangles of measures 90-60-30.

4 times the square root of 3 will be the hypotenuse, and the smallest leg is always half of that. The larger leg is represented as the small leg times the square root of 3.

$Small=2\sqrt{3} \\Hypotenuse = 4\sqrt{3} \\Long =6$

By the way, the formula for the area can be either of the two:

$A= \frac{1}{2} bh\\or\\A = \frac{1}{2} NAS$

we can easily find the area using the first formula.

$A= \frac{1}{2} (4\sqrt{3} )(6)\\A=12\sqrt{3}$

The radius is the distance from the center to the corners & the apothem is the distance from the center to a side...

So we can divide the big triangle into a mini triangle at the bottom left/right

The height (small leg) of that triangle would be the apothem

The hypotenuse of that triangle would be the radius.

I did the math really quick because this is getting long. Anyhow, the small leg is 2 so is the apothem, and the hypotenus is 4, so is the radius

Happy April Fool's btw, lol.

4 0

3 years ago

Ms. Jan brought in cookies of her class. She gave out half of them in the morning. At lunch, she gave out 12 more. She then had

Svetach [21]

Answer:

Jan brought 44 cookies

Step-by-step explanation:

To solve this problem, we need to work backwards. First, we have 10 cookies left at the end of the day. At lunch, she gave away 12 cookies. This means that Ms. Jan had 22 cookies at lunch since

10 + 12 = 22

In the morning, Ms. Jan gave out half of her cookies. This means that she started with twice as many cookies as she had at the beginning of lunch.

22 x 2 = 44

Ms. Jan brought 44 cookies.

7 0

3 years ago

Mila and Ava play a number game. Mila gives Ava a number and she does three computations:

Lady bird [3.3K]

Answer:

Step-by-step explanation:

(x-5)2+8 = 92

2x-10+8 = 92