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So confusing. You have good questions, or puzzles. Really good question. May you please give me a hint?

Very nicely done, GL...I was gonna' use trig, but your way is definitely more elegant.....

3 pts. and a thumb from me!!!

Are you going to eat the cookie on your avatar?

Ah, lovely, an easy one. Equilateral triangle. After this one I'm eating dinner x3

60 - 60 - 60 means all sides are equal. Altitude splits this one perfectly in half as well, and makes a 30 - 60 - 90 triangle. 30 - 60 - 90 means x - x(squareroot(3)) - 2x.

2x is equal to one of the original legs, which is 18. x is equal to the split leg, or 9. x(squareroot(3)) equals the altitude, and since x = 9, x(squareroot(3)) = 9(squareroot(3))

9(squareroot(3)) is your answer.

HaHa!!....you got me on that one......!!!

It's the altitude, right?

If I recall correctly (haven't had school for a month, Geometry in longer, so forgive me) the altitude is the line at a direct right angle from a side?

The altitude in this case would be against the hypotenuse.

SO, for this, the legs for this side are 6 and 6. This makes it a 45 - 45 - 90 triangle, which brings up something cool: we already know the length of the hypotenuse. 45 - 45 - 90 = x - x - x*squareroot(2) Therefore, the length of the hypotenuse is 6squareroot(2)

This brings another funny fact: the altitude, because it is an isoceles right triangle, perfectly splits the hypotenuse in half. In this case, the "squareroot(2)" acts as a variable (6/2=3) and does not affect the 6 or 3.

This brings up yet another sweet thing: It just made another isoceles right triangle, except instead of the legs being 6 and 6, the legs are 3squareroot(2). The altitude is one of the legs now, and thus the altitude's length is 3squareroot(2).

Oh, and Zegroes, you're probably older than me, so you have NO RIGHT.

I dont know.Who answered..............

We can use the sine to find this....

sin(45) = opp/6     where 'opp" = altitude

6sin(45) = opp = 6/√2  or 6√2/2 or 3√2

Hey, zegroes....who you calling "olds??"

272500/381500

Well, you can take 100 from each side right off the bat.

2725/3815

Take it by 5

(2725/5)/(3815/5) = 545/763

From here, notice the 45 and 63? They are both divisible by 9, and the numbers in fromt of 45 and 63 (5 and 7, respectively) are the numbers multiplied by 9 to get the 45 and 63

EX:

5 45

5 * 9 = 45

7 63

7 * 9 = 63

You can divide each side by 109

(545/109)/(763/109) = 5/7

Final ration = 5/7

Ok ill leave these to the olds i mean pros then........

Nope  :P

You mean adjacent?

I'll echo zegroes' thoughts....good to see you back on here.......I was about to check the obituaries....you know....just in case......(just kidding)

3 points and a thumb for that answer....

Gold hey man havent seen you on in awile youve been bouncing on and off the top answers list lol good to see you

Thanks guys!

Lol thanks i wish they were touch down points instead......But ill take it !

2.5 = 2 1/2

1/2 = 4/8

2 = 16/8

(16+4)/8 = 20/8

20/8 = 24 miles per 1/8 th of a mile

20 eighths

20*24 = 480

The two cities are 480 miles apart

As zegores said,writing number that is too small or too big to write, for example you want to write 5,000,000,000,000,000,000,000,000,000 but since that would take a long time and unnessecary writing you could put 5 * 10^27

Another example:

0.000 000 000 000 000 54 could be written as 5.4 * 10^-16

Usually used in problems dealing with space like the distance between two galaxies, or in very small distances or quantities.

zegroes is correct.....4132 miles..........since there are numbers involved, we'll consider it a math question and give zegroes a Field Goal (3 points)

Thanks zegroes.

Thanks.

647-47 =599.44 then you just add 26 599.44+26=625.44

No you are?

647 - 47.56 + 26 = 625.44 $

Did you give yourself a point?