ElectricPavlov

45/.74 = 60.81

OK, Mr Frustrated....

 6 carp x 6 days/6 houses =  6 carp day / house

Two houses will take     2 houses x  6 carp day/ house =   12 carp day

with 2 carpenters this will take

12 card day / 2 carp  = 6 days   

Since COT = +5    and COT = cos / sin     we know that theta must be in  1st and 3rd quadrants

so    cos/sin = 5  (this was given)

        cos = 5 sin      Now square both sides

        cos^2 = 25 sin^2   (1st equation)

sin^2 + cos^2 = 1       so sin^2 = 1-cos^2      Sub this into 1st equation

               cos^2 = 25(1-cos^2)

               cos^2 = 25 - 25 cos^2      subtract cos^2 from both sides

                 0   =  25 - 26 cos^2          Subtract   25 from both sides

    -25 = - 26 cos^2

      25 = 26 cos^2

      25/26 = cos^2

    +-  5/ (sqrt 26 ) = cos theta        

   Sec theta = 1/cos   =   1/ (+- 5/sqrt26) =  sqrt 26 / 5  or   - sqrt26 / 5

Guest
0 mins ago

2^(3+m/3)  =  2^3 * 2^m/3       

so

4/27 ( 2^m/3 ( 2*3 +1) )^3 =

4/27 2^(m/3 *3)(9)^3

4/27 * 2^m 9^3

4/27 * 2^m (3^2)^3

4/3^3  * 2^m * (3^3)^2

4  *   2^m  * 3^3

2^2 * 2^m * 27

2^(2+m) * 27    

42 is to 2.6%      as  x is to 100%

Set this up as a ratio:

42 / 2.6%   = x / 100%   Now multiply both sides by 100%

42 / 2.6%   x 100% = x = 1615.38

D'Oh !   Sorry CoolBoy 21 ....I made an error in my last line!!!

36/12     - 17/12            - 9/12

10/12                                              = 5/6 pizza left

RE-posting ...so bottom is not cut off

From DESMOS online graphing calculator:

If you can clarify this question we can help you .....     you ran 50 miles   in EACH of how many months?  (THAT is not much training!)  ....more like you should be running   500  miles a month !

Push the   'LOG'  button then push the number then comma then the base

example     log(27,3) = 3