ElectricPavlov

Well, my original answer showed you didn't have to find out many segment lengths to get an answer...here is how to do it by figuring all of the segment lengths.....sorry ...it is handwritten...

I hope the image makes it. (Look at the bottom ...left and right)    Angle B = 180-90-30 =60 degrees  

Angle D2 = 180-90-30 = 60

Since DC = BC in a right triangle (GIVEN in the problem) then  angles D1 and B1 are EQUAL too  180- 90 -2x  yields the fact that these two angles are 45 degrees

If ANGLE B is 60 degrees and ANGLE B1 is 45 degrees angle DBK = 60 - 45 = 15 degrees.

All this because DC = BC !

If you want to know if it can EVENLY be divided by 7...you'll just have to divide it by 7 ...either in your head, on paper or with a calculator......if thee is NO REMAINDER , it is EVENLY divisible by 7 ......I do not know of any shortcuts like there is for 3

(If you add all of the numbers up and THEY are divisible by 3 then the number is too

Example: Is 513 divisible by 3?   Add 5 + 1 + 3 = 9     9 is divisible by 3, so 513 is too)

If you want to know if it can EVENLY be divided by 7...you'll just have to divide it by 7 ...either in your head, on paper or with a calculator......if thee is NO REMAINDER , it is EVENLY divisible by 7 ......I do not know of any shortcuts like there is for 3

(If you add all of the numbers up and THEY are divisible by 3 then the number is too

Example: Is 513 divisible by 3?   Add 5 + 1 + 3 = 9     9 is divisible by 3, so 513 is too)

Ahhhhhhh!   I got to that point and it seemed like it was gonna be big a drawn out ordeal squaring both of those factors...THAT is when I 'trial and error'ed'  it !       Thanx again !

Though I got the same answer via trial and error, I wanted to do it mathematically like you did...but you lost me between the step 4 lines from the bottom and the step 3 lines form the bottom.....how did you 'simplify' that?

Thanx !

Thanx Melody !  

A sequence is 6^(n-1)     B sequence is 50(3^(n-1))

Set them equal and solve for n

6^(n-1) = 50(3 ^(n-1))

 Take log of both sides

(n-1)Log 6 = Log50 +(n-1)log3 

(n-1)(log6-log3) = log 50

n-1 = log50 /(log6-log3)

n = log50/(log6-log3) + 1

n= 6.64    This is where they would EQUAL,,,,the nex integer is where A>B           = 7

the integer after which A>B is 6

I'll hazard a guess...first of all I will guess that  0+45  is really 'theta' +45    and  I'll guess that 45 would be the phase shift.

The 1/3 in the equation lends me to believe the period will be 360 x 3  ..... these are all guesses....educate me...THANX !

9(1g-10)-4g=8g+27

9g - 90 - 4g = 8g + 27    Simplify a bit

5g-90 = 8g+27               Subtract 5g from both sides

-90 = 3g + 27                Subtract 27 from both sides

-117 = 3g                    divide both sides by 3

-39 = g