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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,234

Hi;

I am getting 6.20403 using the formula I gave you, so I would say they are the same.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**rogerwaters****Member**- Registered: 2013-11-02
- Posts: 85

Alright, sounds good. But could you write out the second equation with the formula you gave me so I could present it completely as my work?

After that, we'll move on to number 3

I think there are things in my story that have helped my creativity. Your father being killed, for instance, is one of the best things that could happen to a kid if he's going to write poetry or songs.

-Roger Waters

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,234

That is is up there.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**rogerwaters****Member**- Registered: 2013-11-02
- Posts: 85

Alright thanks! So let's move to number 3

I think there are things in my story that have helped my creativity. Your father being killed, for instance, is one of the best things that could happen to a kid if he's going to write poetry or songs.

-Roger Waters

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,234

I am getting 6 for that.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**rogerwaters****Member**- Registered: 2013-11-02
- Posts: 85

What formula did you use?

I think there are things in my story that have helped my creativity. Your father being killed, for instance, is one of the best things that could happen to a kid if he's going to write poetry or songs.

-Roger Waters

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**rogerwaters****Member**- Registered: 2013-11-02
- Posts: 85

oh! I know why it didn't lead to the same result in number 2! Because they ask for the length not area!!

You might wanna check that!

-Roger Waters

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,234

Was the answer wrong?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**rogerwaters****Member**- Registered: 2013-11-02
- Posts: 85

I did not submit it. I need to find all of the answers first.

-Roger Waters

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,234

I used this formula:

where n is the number of sides which is 6.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**rogerwaters****Member**- Registered: 2013-11-02
- Posts: 85

That's for number 3 right?

-Roger Waters

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**rogerwaters****Member**- Registered: 2013-11-02
- Posts: 85

But the given only tells me that the radius is 6, how did you get the side?

I'm really confused

-Roger Waters

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**rogerwaters****Member**- Registered: 2013-11-02
- Posts: 85

Oh oh!!! If the radius is 6, then the side is equal 6 right?

So that is my answer: If the radius is equal to 6, then the side is equal to 6 as well.

I also got number 4:

4. If a hexagon has a radius (center to point of angle) of 6, what is the area of the hexagon?

First we find the area of one triangle:

area(t) = r^2 sqrt3 /4

area(t) = 6^2 sqrt3 /4

area(t) = 36 x sqrt3 /4

area(t) = 36 x .433021

area(t) = 15.588756

area(h) = 6 x 15.588756

area(h) = 93.53

-Roger Waters

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,234

I plugged into the formula

You are correct for 4.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**rogerwaters****Member**- Registered: 2013-11-02
- Posts: 85

Alright! Could you check 4 for me?

And here are my answers for number 5 and 6?

5. If a hexagon is resting on a flat side, and has a total height of 18, what is the length of each side of the hexagon?

A = 9^2 x 6 * tan x (180/6)

A = 280.59

Now that I have the area, I have to find the side where s = side of the hexagon.

3 (√3 /2) x S^2 = 280.59

s^2 = 280.59 x 2 / 3 x √3

s^2 = 561.18 / 5.196152

s^2 = 107.99

s = 10.39

6. If a hexagon is resting on a flat side, and has a total height of 18, what is the area of the hexagon?

a = 9^2 x 6 * tan x (180/6)

a = 280.59

-Roger Waters

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,234

4)Correct.

There is an easier way to do 5.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**rogerwaters****Member**- Registered: 2013-11-02
- Posts: 85

What is the easier way?

-Roger Waters

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,234

A formula can be created by using the others, it is:

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**rogerwaters****Member**- Registered: 2013-11-02
- Posts: 85

Okay but is the formula I used still correct? Because that's the way the teacher gave it to me.

And what about 6?

-Roger Waters

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,234

I would say yes.

What is #6?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**rogerwaters****Member**- Registered: 2013-11-02
- Posts: 85

6. If a hexagon is resting on a flat side, and has a total height of 18, what is the area of the hexagon?

a = 9^2 x 6 * tan x (180/6)

a = 280.59

-Roger Waters

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,234

That is correct, you could also use,

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**rogerwaters****Member**- Registered: 2013-11-02
- Posts: 85

Alright now here's the really tough one, it's worth 4 points.

7. Problem solver (worth 4 points): Come up with a way to find the area and volume of a football. Include in your answer a way to acquire any necessary measurements without cutting or otherwise destroying the football. Also include all necessary formulas to implement your idea. (You don't need to find actual numbers, just outline the method in step by step detail--think of all the measurements you'll need to acquire and how you'll get them.)

-Roger Waters

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,234

You will have to fill in the details.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**rogerwaters****Member**- Registered: 2013-11-02
- Posts: 85

Alright, but what are 'a' and 'b' equal to?

-Roger Waters

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