CPhill

Well, T.R.  ......that certainly is an interesting method of analysis.....even with "barch's" and "gowipe's" assistance......LOL!!!

Let me make the process a little easier.......in any triangle, the greater angles are found opposite the greater sides......so......since the sides are (in order from largest to smallest)....24, 18, 12......  the  angles opposite those sides are (in order from largest to smallest)    P, Q, N

BTW.....I'll give T.R. 3 points just because CDD can happen to anyone......at any time....anywhere.......it's often undetectable by those who contract it.......

Don't worry, T.R.  ......most everyone on the forum has had a slight case of it.....innoculations are sometimes effective....but.....their potentcy and ability to fight off the dread disease usually wanes .......this equation is sometimes used to calculate the % of CDD remaining in one's system, x hours after a they have made a hideous mistake in answering a question......

%CDD =  log(log (ln e^pi)) + pi^e

The less "pi" involved -  the better........cake seems to have no effect on the formula.....so....."eat up" !!!!

I just answered this one here......

We already have the base area, DB........we just need to multiply this by the height....

So we have......

(3.5)in^2 x  (5) in =   17.5 in^3

I agree, Anonymous.......

Using the Law of Sines, we have

sin 123 / 43  = sin A / 19      .....therefore....

Sin A = (19sin(123)/ 43)  .......and using the sine inverse, we have.....

sin^-1 [19sin(123)/ 43]  = A =  about 21.75°

The polar form can be written as....  z = r (cos Θ + i*sinΘ )

r = √[(4)^2 + (-4)^2]  = √[16 + 16] = 4√2

And  Θ   =  tan^-1(-4/4) = tan^-1(-1)  = -pi/4    ...so we have

z = 4√2 ( cos (-pi/4) +  i*sin (-pi/4) )  

..... note that this is the principal value......any angle of the form -pi/4  +  2pi (n)  is also possible, where n is an integer

A. p->q    .... is correct.......  "p" is the hypothesis......"q" is the conclusion......

80,000,000 / 95,000,000 = 80/95  = 16/19

If m<A and 15 are complementary, then, by the definition pf "complemetary," their sum is 90.  So  m<A + 15 = 90.  Then, subtracting 15 from both sides, m<A  must be 75.

{That's as good as I can do......!!!  }

.......................................................