CPhill

See EP's answer here :   https://web2.0calc.com/questions/please-help-and-if-possible-could-you-explain-step-by-step

Let the center =   O

Draw OB

Then OA =  OB    so in triangle OAB  angles   BAO   and ABO   are equal    =  60°

So angle OAB  also =  60°

And  arc   AB   =   60° =   1/6 of the circle's circumference

The radius of the circle =  18

So   arc   AB =   (1/6)* 2 * pi ( 18)  =    6 pi 

Answered under your original post

Suppose we have 12 members of a set

We have 8 orchids in  the set by default

Of the other 4  flowers in  the set (making a  dozen in total)  we have 4 ways to choose a flower in  each of the remaining 4 positions

So.....total number of possible boquets (sets)  = 4 * 4 * 4 * 4  =    256

f (2x)  means  that  the original function is  horizontally compressed by a factor of  2

So....the original  domain  has a width of 10......the new domain has a width of 5

As written we have

8 / 2 * ( 2 +2)  =

4  *  4  =  

16

This  = 1  is if we have

8/ [ 2 ( 2 + 2) ] = 

8 / [ 2 * 4 ] =

8 / 8   =  1

{Thus emphsizing the importance  of brackets and parentheses  !!!   }

7^2 = 49

7^3  = 343

7^4 = 2401

7^5 = 16807

7^6 = 117649

7^7 = 823543 

7^8  = 5764801

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7^(2n).....when n is odd, the tens  digit  =  4

7^(2n).....when n is even, the tens digit  = 0

7^(2008)  = 7^(2 * 1004)  →   the tens  digit   =   0

See my answer to the first one under your original post

tan α = BD / AD  =  6/2  =  3

tan β = ED / AD  =   2/2 =  1

tan ( β + γ)  = CD / AD  =  4/2 =  2

f(g(x))  =  3 ( 2x + 3) + 4 =  6x + 13  = h(x)

Write

y = 6x + 13      get x by itself

(y - 13)   /  6  = x        "swap" x and  y

y  = (x -13)  /  6   =   h^-1(x)