362. The area of fencing a circular field at the rate of $24 per meter is $5280. The field is to be ploughed at the rate of $0.50 per square meter. Find the cost of ploughing the field.

Now if you put several zeros on the right of some non zero number, e.g. 9, then it becomes a bigger quantity, e.g. 9,000.

If everyone had a good memory, you could have a counting number system in which every number had it's own symbol. Counting might look something like this:

0,1,2,3,4,5,6,7,8,9,£,$,&,*,?,............. Of course it isn't very practical as you quickly run short of symbols. And if someone has made up every symbol up to a certain large value, what happens if someone wants to add 1 to it? Are they allowed to make up yet another symbol for the answer? And what happens if someone else has also done this but not used the same one?

Don't get me wrong. I'm not advocating such a way of counting. But it does help to demonstrate just how handy the decimal system is. You only need 10 symbols and you can make any number by using 'place value'. 9000 didn't come from 9 with a few zeros added. It's more than that. The 9 now indicates 9 thousand instead of 9 units. And how do I know that it's in the thousand column? Because the zeros are showing no hundreds, no tens and no units. Without them we don't know what place value the 9 has. But here there are a lot of zeros that you don't need. I've underlined the ones that are essential for place value purposes.: 000.0009000

I'm not sure how this affects your theory but I think you need to factor it in.

You might find this interesting:

https://en.wikipedia.org/wiki/Set-theor … al_numbers

Bob

]]>You can use 1 for the constraints. I am getting a maxima of 1 at (0,0,0).

]]>I am sorry, I thought you only wanted a hint.

If you use the Pythagorean theorem you will get:

Take the square root of both sides.

]]>Regular means all internal angles and all sides are equal.

Bob

]]>]]>

**A says) An equilateral triangle with sides 1.**

**B says) Obviously it is a triangle with the longest side being equal to 1.**

**C says) What is a unit?**

**D says) It is a triangle with an area that equals 1.**

**E says) I have never heard of it.**

**What do you say?**

9. A triangle ABC

The angles achieve the following relationship :[Sin(A)]^2+[Sin(B)]^2+[Sin(C)]^2=2

what kind of this triangle?]]>

the gray area is 3( r^2 - 1/4 π r^2)

the pink area is 1/4π r^2 -(π-3) r^2

= r^2(1/4π-π+3)

=r^2(-3/4π+3)

=3 r^2(1-1/4π)

=3(r^2-1/4π r^2)=the gray area

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