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Awww, thank you for responding. :)))

It really makes my day when I get a thank you. 

=^._.^=

Thank you!

18 x 21    - (6x10) =    318 ft²

First find CB via pythag theorem       CB = 2            (sqrt ( sqrt13² - 3²)

Then tan = opp/adj = CD / CB =  3/2

q = quarters

d = dimes = 1/2 q

n = nickels = q+11

25 q         +      10(1/2q)       + 5 (q+11)             =   545      solve for q

                                             then d = 1/2 q      and n = q+11

Ratio Test   =  a_{n+ 1}  /  a_n

a_n+1  =      6ⁿ⁺¹                                            6ⁿ⁺¹

               _________________   =    ______________

               5^{(n + 1) +1}   (n + 1)              5 ^{n + 2}  ( n + 1)

a_{n + 1}  / a _n   =

      6^{n+ 1}                                    6^{n + 1}                      5^{n + 1} n               6  n

  ___________                      ____________ *    __________  =   _________  = 

   5 ^{n + 2}  ( n + 1)                    5^{n+ 2} ( n +1)               6ⁿ                          5  (n + 1)

_____________    = 

         6ⁿ

     ______

      5ⁿ⁺¹ n

 6             n

___  *     _____

 5            n + 1

The limit as  n ⇒  infinity   on the second  fraction is  just 1

The  limit  as n ⇒  infinity  on the first term is  6/5  =  1.2  >  1

So.....the  series  diverges

The answer is A) Need me to explain why?

ohh, i see, i forgot about the \(\sqrt 3\) ones. 

nice job!

Actually I got it, the answer is 8.

Number the points clockwise, beginning with the upper left as 1. Number the center point 7.

We can create six equilateral triangles with side length one: 176, 172, 273, 657, 574, and 473.

We can also create two equilateral triangles with side length sqrt(3) : 135 and 246.

Thus, there are  8 such equilateral triangles.

I always  find  it easiest  to convert   things to sine and  cosine....so....

sin / cos              sin  /cos                             sin

_______  =      _____________    =           ________

1/cos + 1           (1 + cos) /cos                     1 +  cos

sec   - 1                 1/cos   -1             (1 -cos) /cos              1 -cos

_______   =         ________   =        __________     =      _____ 

    tan                    sin /cos                   sin /cos                     sin

So  we  have

sin                         1  -cos

_________  -      _________     =  

1 + cos                   sin

sin^2  -  ( 1 -cos) (1 + cos)

_______________________  =

   sin (1 + cos)

sin^2   - ( 1  -cos^2)

________________  =

   sin (1 + cos)

sin^2  +  cos^2      - 1

__________________   =

   sin  (1 + cos)

1   - 1

___________    =         0

sin ( 1 + cos)

Woah pre-calc thats new to me lol

wish i could help

We were talking to a guest answerer who said it was the answer was 900 or 30^2. Apparently, they removed it.

shouldn't it be (4, inf)? i am not sure, though...

Tha above parallelogram is completed with a triangle congruent to the given triangle. The ratio of red to blue in this parallogram is 5 to 4, as there are 5 red and 4 blue stripes of equal area; so the ratio of red to blue in the original triangle would also be 5 to 4, so the answer given by the other participant is correct: 145 to 116 is as 5 to 4.

Ohhhhhh. Thanks 😊 

you guys are so hecking fast its amazing! Okay so i think where i was struggling is the fact that 2a-1 was just being flipped for simplicity. i think i get it now so thanks yall!

FOR Y: write -4y in terms of x, and divide both sides by 30 to get y=5/3

FOR X: substitute 5/3 in terms of y, and simplify to get x=-20/3

We cannot take the log  of  0  or a negative

So....the domain is    (0,  inf )

Nice answer, I just did factoring way...

Yea. I don't get it. 🤔🤔🤔

1. We first, just multiply it out (5ab x 1) - (5ab x 2a)

2. 5ab - 10a²b

3. We have a common factor b, b(5a - 10a²)

4. We factor again b(a(5-10a)

5. We factor again b(a(5(1-2a))

We get 5ab(1-2a))

Please tell me if you have any questions.

🐺🐺🐺

5ab - 10a^2b

That is our equation

We can notice that 5ab is a factor of both numbers. So we take it as common

(5ab / 5ab) (10a^2b / 5ab) = 5ab (1-2a)

Hope that helps!!! :)

🙃🙃👌