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1 1/6 = 7/6

4/5 * 7/6 = (4*7) / (5*6) = 28/30 = 0.93333 [Recurring]

The method used depends on the situation:

▪ The "Z" method is simply if you have two parralel lines, and are joined by a straight line (Either in a Z shape or a _/‾ shape) the 'inside' angle at either side will be identical, and the 'outside' angle at either side will also be identical. This will rarely apply to triangles however.

▪ If you know 2 angles already, then you can use the fact all 3 angles of a triangle add together to equal 180. So, 180 subtracted by the other two angles will give you the third angle.

This is the simplest and most often needed.

The rest I am going to mention needs some work with forumlae. Depending what level of mathmatics you are working with, these may or may not be relevant at all.

Re-arranged this can be used as:

▪ If you know 2 side lengths but the known angle is not opposite either, you can use the "Cosine" rule to work out the third side. From there you can use the Sine rule to work out the other angles.

This rule can also be used to find any angle if you know all 3 sides, by re-arranging the forumla to:

The molecular mass of the compound (such as 18 for a water molecule) in grams is 1 mole of that substance (thus 18 grams of water is 1 mole of water).

Number of moles = Mass in grams / Molecular mass of chemical

So if I had 72 grams of water, I would divide by the molecular mass (18) to get the number of moles I had: 72/18 = 4

i didnt forget his name, but only becuz i play clash of clans and theres a defense named the Hidden Tesla

i then looked hidden tesla up and came across Nikola Tesla

then i read it on wikipedia

he seems surely a genius, since he was involve in lots of engineering, future stuff, physicist, electricity

i especially like his idea of wireless lighting, wireless communication, and electrical supply (just like him, i hate wires, maybe one day there will be wireless charging stations for iphones and i wont need my charger anymore, and thats a reason why i like xbox over playstation, i can just change the batteries, i dont have to connect it to the wire charger)

To get the slope......subtract the y components of each point in any order....then......subtract the x components in the same order.....put the first result over the second.....so we have.....

-7 - (-5)   = -2

Subtract the x components in the same order......

1 - (-2)   = 3

Put the first result over the second........-2/3     .....    and that's the slope....!!!!

11 :30 + 2:30 = 13:30

$${\frac{{\mathtt{11}}}{{\mathtt{30}}}}{\mathtt{\,\small\textbf+\,}}\left({\frac{{\mathtt{2}}}{{\mathtt{30}}}}\right) = {\frac{{\mathtt{13}}}{{\mathtt{30}}}} = {\mathtt{0.433\: \!333\: \!333\: \!333\: \!333\: \!3}}$$  

k² + 8k + 15 → (k + 3)(k + 5)

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Suppose the rational number is m/n, where m and n are integers.

Let the irrational number be t

Assume the product t*m/n is rational; then it could be represented by a/b, where a and b are integers.

So we would have a/b = t*m/n

Multiply both sides by n/m to get:  t = a*n/(b*m)

a and n are integers so a*n = p, another integer.

Similarly, b*m = q, an integer.

But this means that t = p/q, the ratio of two integers.  In other words, t, our irrational number turns out to be rational!  

This is a contradiction of course, which means that our initial assumption, that an irrational number multiplied by a rational number is rational, is false.

In other words, the product of an irrational number and a rational number is irrational.

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$${\mathtt{G}} = {\frac{{\mathtt{64.32}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{\left({\mathtt{14}}\right)}{\mathtt{\,\times\,}}{\left({\mathtt{2}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{\left({\mathtt{11}}\right)}\right)}^{{\mathtt{2}}}}{\left({\mathtt{6}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{\left({\mathtt{24}}\right)}{\mathtt{\,\times\,}}{\mathtt{6.4}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{\left({\mathtt{23}}\right)}\right)}} \Rightarrow {\mathtt{G}} = {\mathtt{0.000\: \!000\: \!000\: \!067}}$$

G ≈6.7*10^-11 m³/(kg.sec²)

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$$G=F\frac{d^2}{m1m2}$$

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$$F=G\frac{m1m2}{d^2}$$

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ok, Im not totally sure about this.

but...

a rational number is a integer number or a fraction of two integers.

an irrational number is a number that can not be written as a fraction. (pi, sqrt(2), e for example)

therefore, when you multiply an irrational number with a rational number it has to be irrational (if the rational number isn´t zero)

for example multiplie pi with 1/4 the result is pi/4 but since you can´t write pi as a fraction you can´t write pi/4 as a fraction.

Irrational........

Think about this   .......if we took  √17  (an irrational) and added it four times, we would just have 4√17.....but the "√17"  part would remain, and thus, the "irrational" part would remain......the only way to make this "rational"  would be to multiply it by an irrational!!!

$${\mathtt{\,-\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\mathtt{50}}{\mathtt{\,-\,}}{\mathtt{2}} \Rightarrow {\mathtt{x}} = -{\mathtt{4}}$$

Pick an interior point of the polygon. Connect the point to each of the vertices. This gives you n triangles, whose angle sum is 180° * n. You don't have to count the 360° at hte center.

So the sum of the polygon's angles is 180° * n - 360° = 180° * (n - 2).

As long as this inequality is satisfied, he can make it back home.....

($400)( 600) / x  ≤   $100,000    where x is the mpg of gas that his car gets ......so.....rearranging

240,000/100,000  ≤   x

2.4   ≤    x    

In other words, as long as his car gets at least 2.4 mpg of gas, he can make it back

n times 5 is n5

Here's another method:  Babylonian method of guess and divide

My only problem with this method is=>  division. How long would it take to a 6th grader to divide  20 by 4.4048 without a calculator? 

Finding the square root of 20 using Babylonian method of guess and divide:>

For me, algorithm works best.

Squre root of 645 (the result is above the square root symbol)

43 minutes is 43/60 degrees......so.....

tan (126 + 43/60)°   =  -1.340788783609   = -1.3408 to the nearest ten-thousandth

it is 28 to83 - [59 - (22 - 18)]

Thanks Alan :)

Thanks Chris :)

That's very nice, Melody.......!!!