CPhill

-9+ 3 2/3  =

-9 + 3  + 2/3 =

-6 + 2/3 =

-18/3 + 2/3  =

-16/3

2 2/7 x 2 4/5 

2 + 2/7 =  16/7

2 + 4/5  = 14/5

So

(16/7) * ( 14/5)   =     {swap denominators}

(16/5) * (14/7)  =

(16/5) * 2 =

32/5

If y = 4 + 0.10x, then what is y if x=20?

y = 4 + 0.10 * 20   =    4 + 2    =  6

We can find this as follows :

[ (-3061) mod 360]°  = 179°

P.S. - you can find an app to do this here :

 http://calculator.tutorvista.com/coterminal-angle-calculator.html

  ​

√403  ≈  20.0748

No table is shown.......

P (two orange in a row without replacement ) =  2/13 * 1/12 =   2 / 156   =   1 / 78

We have the identity that :

cosh²(x) - sinh²(x) = 1    

cosh²(x)  - 4^2  = 1 

cosh²(x)   = 1 + 4^2

cosh²(x)  = 17

cosh(x)  = ± √(17)

And 

tanh(x) = sinh(x)/cosh(x)    ....so......

tanh(x)  =  ± 4/ √(17)

6 / √21      multiply top/bottom by √21

[ 6 √21 ] / [√21 √21 ]  =

[6 √21 ] / 21   =

(6/21) √21 =

(2/7) √ 21  =

 [ 2 √ 21 ] / 7