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 3 

 --

√6

Multiply  top / bottom  by √6

 3 √6                 3 √6               √6    

 ____    =         ____    =        ___

√6√6                 6                     2

Anythime CPhill!!

And for you guys take the (Today is your day to feel beautiful) part, and change beautiful to handsome, Lol!!!

Thanks, Rosy......!!!!

Because  DC  and AB are parallel lines cut by a transversal, angle CDB  =  angle DBA = 66°

And......by the experior angle theorem....    x  = sum ( angle CAB +  angle DBA )

So....  x   =  26 + 66  =   92°

Thanks! 

I always try to be encouraging 

aww this is lovely x

Let the rate that Boris can run  = R

Let the rate that the escalator moves = r

When he runs up the up escalator his rate  = (R + r)

When he runs up the down  escalator his rate is (R - r)

And the Distance that he  covers (the escalator's length)  =  L

So..... using Rate * Time  = Distance

L    =  L

(R + r) * 6  =  (R - r) *30

6R + 6r  = 30R - 30r

36r  = 24R

R = (36/24)r

R =  (3/2)r    →   r  = (2/3)R

So.......using  Distance / Combined Rates   = Time  

And substituting for r, we have that

L / (R + r)   =   6    →    L / [ R + (2/3)R]  =  6  →  L / [ (5/3)R]  = 6   →

 (3/5)L / R  = 6 →

L/ R   = (5/3) (6)  =    10 seconds to run up (or down) the out of service escalator  

Also, to Leli, if you can see this

When you make your account let me know but message RosyWintercat not MysticalJaycat, please!!

I wouldnt really call that defending.

You should've read her questions. you seem like a rational guy, you just had to read it. she called someone's question stupid, then asked a stupid question about why people call other people stupid.

Unfortunately, her questions and the questions she commented to "mysteriously" disappeared.

As a punishment for something naughty that we did, my little brother and I have to whitewash both sides of a fence. We start at the same time, and we each work at a constant rate. If we each whitewash one side, I'll finish in 2 hours and my brother will finish in 3 hours. But I'm a nice kid, so after I finish my side, I go around to the other side and help my brother finish his side. From the time I start helping him, how many minutes does it take us to finish the job?

Well....you can paint 1/2 of the fence on your side in one hour and your brother can paint 1/3 of the fence on his side in one hour.....so...together......you both can paint (1/2) + (1/3)  =  5/6 of the fence on either side in one hour

So....after 2 hours......your brother has painted  2 (1/3)  = 2/3 of the fence on his side and there is 1/3 left to paint

So

Work left / Rate Per Hour  = Time to finish

(1/3) / (5/6)  =

(1/3) (6/5)  =

6/15  hrs  =

2/5 hrs   =

24 minutes  

P.S. -   have you and your brother ever read "Tom Sawyer??"

Thanks

Antti entered a 10-kilometer race. His goal is to finish in one hour. He starts off sprinting, and completes the first 2 kilometers of the race at an average speed of 12 kilometers per hour. To achieve his goal of a one-hour finish time, what average speed must Antti maintain for the last 8 kilometers of the race? Enter your answer as a number in decimal form, without units. Please 

Let's first find out how many minutes it took him to run the first 2 K....

Since   Distance / Rate  = Time....we have

2K / ( 12 k/hr )   =   1/6 hr

So....this means that he must run the last 8K in 5/6 hr....so we have

Distance /Time   = Rate

8k / (5/6) hr  =    

8 / (5/6)  =

8 * (6/5)  =

48/5  =  

9.6  k / hr

Its high noon somewhere in the world

ITS HIGH NOON.

YOU CANT ESCAPE THE HIGH NOON ARYA.

YOU JUST CANT.

DELETE THIS, AND THE HIGH NOONS WILL DOUBLE, THE TRIPLE, THEN WHAAAAAAAAAAAAAAA!

Do you know the gamma function? 
The informal definition of gamma function is \(\Gamma (n)=(n-1)!\)

The gamma function can be defined with the integral: \(\Gamma(z) =\displaystyle \int^{\infty}_{0}x^{z-1}e^{-x}\mathtt{dx}\) and this is the formal definition.

Gamma function have a property: \(\Gamma(x+1)=x\Gamma (x)\)

So "pi factorial" can be calculated using:

\(\pi!\\ =\Gamma(\pi + 1)\\ =\pi \Gamma(\pi)\\ =\pi\left(\displaystyle\int^{\infty}_0x^{\pi-1}e^{-x}\mathtt{dx}\right)\)

Well, I was just going to like ask a question to get the reader thinking about it while reading and then I'm going to provide information that leans more towards the Bermuda Triangle being real.

That's a good start! 

Maybe you could make the subtitle be "Just a Myth?"

So it makes it sound like there is more to it.

In the paper, are you going to try to persuade the reader that it is real or that it is a myth?

sin θ cannot be bigger than 1, so sin θ cannot be 45.

I think you might have meant:

θ = 45º

cos (90º - θ)

= cos (90º - 45º)

= cos (45º)

= \(\frac{\sqrt2}2\)

42

The answer to universe is 42.

Area CDHG = 12*36 cm^2

triangle ABC is a right triangle base = 8,    height  = 15         sqrt(17^2-8^8)

Area = 0.5*8*15 = 60ft^2

x!<=10^10 -1

10^10 = 10 000 000 000

10^10-1=9 999 999 999

10! = 3628800

12! = 479 001 600

13! = 6 227 020 800

14! = 87 178 291 200

so 

\(x\le 13\)

I think what may wants to know is the value of 10000 multiplied by 20000 (I guess the dollars are there because the original question was about dollars).

10000*20000=200000000

Yes, it is. You can multiply any 2 numbers by eachother. Doesnt matter if they're rational, or irrational, or complex, or real. doesnt matter. You can multiply them.