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Thanks it isnt a tangent

It is tangent  IF the angle at B is a right angle......know how to tell ?

Pythagorean therom....if it IS a right triangle then

21^2   + 20^2   = 29^2         does it?                          Find out !  

f   = five point q's

t = two point qs      = 38 - f         

five point total will be     5f

two point total will be     2 (38-f)        summed together = 100 points

5f   +   2 (38-f)    = 100       solve for f , the number of 5 point q's     then the remaining questions,  the 2 pointers = 38-f

Well there are a few possibles

19   28   37   46   55   64    73     82    and 91     reverse is the next line

91   82   73    64  55   46    37     28           19

Anything jump out at ya?

you are getting good at this   

Amplitudes have to be positive.  The answer is just 1

Did you graph it?  You should try to do a rough graph on paper every time and then you should check your graph using Desmos.

Now:

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What you have discovered its this

y=sinx   

Goes through (0,0),  And then goes up first.

it has a wavelength of 2pi.

It has a midline of y=0

 If you tack a number on, I mean add or subtract a number, then the graph stays the same shape it just moves vertially up or down by the tacked on number.

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Now graph y=sinx

and

y=3 sinx

and

y=4 sinx

All on the same desmos graph.   (note there is an invisable times sign between the number and sin)

What happens to the graph?

---------------------------------

So for y=10sinx

what will be

a) midline

b) y intercept

c) wavelength

d) amplitude

Thanks Geno

That is what I thought too.

You cannot say one infinity is equal to another infinity.

I still do not claim to understand properly  though.

Although EP is correct, if the question were:  How many different hands can be constructed that contains 2 kings and 3 aces?

then you would need to select 2 kings from 4 kings and 3 aces from 4 aces:  ₄C₂ x ₄C₃  =  6 x 4  =  24

Not sure I am convinced on all that.  But yes I think cilia are for moving.  So I would have put the same answer as you.

Not sure what you are asking....but only ONE hand can have 2 kings and THREE aces      because there is only one ace left....

    if soemeone else gets 2 kings and three aces you can expect the guns are gonna come out 'cause some dawg is cheatin' !

As geno points out to me   PERHAPS you mean    how many WAYS are there to deal a 5 card hand with 2 kings and 3 aces????

I think it would be     4 c 2     *     4 c 3   = 6  x  4 = 24 ways

Your question is a bit unclear

( Thanx   Gino ! )

I believe that the flaw occurs because you handle "S" as if it were a real number.

There is no real number (or whole) number that represents the sum of 1 + 2 + 3 + ...

Yes it is very interesting.  I'd love for someone to explain the error to us both. 

I wrote a little program on my TI-84 that (I hope) has gives the number of possibilities..

Using the digits "1", "2", and "3" instead of colors, the results are:

12123     21213     31212

12132     21231     31231

12312     21313     31232

12313     21321     31312

12323     21323     31321

13123     23121     32121

13132     23123     32131

13212     23131     32132

13213     23213     32312

13232     23231     32321

I haven't come up with a neat explanation, though.

'acellular'    means   'no cells'

" as a decimal "         there...I wrote it.  

Cilia are for moving cells around.....or for stationary cells , moving gunk over the surface....think about all of the phlegm you cough up during a cold.....cilia on the cells in your trachea move that gunk up and out.....until you cough and taste salt in your mouth !   

If you are a smoker you damage those cilia and stuff collects in your lungs.....you have to hack and sputter and cough to get things up...yum.

'similar'   doesn't mean 'exactly the same' ....just kind of alike....in a ratio

the triangles are similar....so sides in triangle  edc   are similar to sides in triangle abc ....in a ratio......not exactly the same...they are 'alike'

      DC  is similar to  BC 

ED  is similar to AB                (and EC is similar to AC....but we do not need this for this question)

DC  is similar to  BC       as         ED  is similar to AB 

35   is similar to 75          as        21    is similar to AB

35/75  =  21/AB   

AB   =  21/ (35/75)

AB = 21 * 75/35                                  Look at things and think about it for a while....it becomes easier....and intuitive after a while 

I was experimenting with numbers myself, to come apon this! It's quite interesting. 

I like EPs logic.

I just watched a video on them

Did you find this by yourself, or did you see it somewhere.  It is quite clever :)

Oh, I see. Thanks for the response, Melody.

I do not claim to well understand this either but I think it does not work because

the sum of  9+18+27.....  is a bigger infinity than the sum of 1+2+3 ....

Scratch that, I do not know.  I have never accepted Ramanujan's summation, though as with yours, I could not see the logic fault.

I have not seen the fault in your logic yet either.

The process repeats, I'm pretty sure all of them will be divisible by 9.

no, well... I don't know for sure ... I get what you're saying but I can't solve BA because if its similar wouldn't BA be considered 75? . . . I'm sorry, I'm not math smart.. .

never mind

I believe that answer is correct... I got the same thing