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To find the common ratio, you can divide the second term by the first:  (8/3) / (16/9)  =  (8/3) x (9/16)  =  3/2

To find the eighth term:  (16/9) x (3/2)⁷  =  your answer. 

Given that a diagonal is [4 times sqrt(3)] which equals about 6.928 how can the perimeter be 4.899

You lost me at the line p = 4a = [2 times sqrt(2)] times sqrt(3)  (I think that's the length of a single side.)     

_.

How do you input inverse tangent 9/5 in the calculator?

Hello Guest!

Enter:
\({\color{BrickRed} 9 / 5 = tan =}\ \color{blue} 0.031426266043\)

  !

I'm by no means sure but I think it should be 26 options for letters, 5 for even (0,2,4,6,8) and 5 for odd numbers (1,3,5,7,9) and that gives 1 097 500 combinations if I'm not mistaken

(6*24)+(8*36)+x=800

144+288+x=800

432+x=800

x=368

me and danne9000 should have the same answer :))

what is the perimeter of a square whose diagonal is 4√3? (Answer should be in simplified radical form)

\(d=4\sqrt{3}\)

\(d=a\sqrt{2}\)

\(a\sqrt{2}=4\sqrt{3}\\ a=\frac{4\sqrt{3}}{\sqrt{2}}\\ p=4a=2\sqrt{2}\cdot \sqrt{3}\)

\(p=\sqrt{24}=4.899\)

\(The\ Perimeter\ is\ \sqrt{24}=4.899\)

  !

So in asile 12 we have 6*24 cupcakes (144) and in aisle 14 we have 8*36 cupcakes (288). Assuming there are no cupcakes in aisle 1-10 or aisle 13 then aisle 11 would have 800-144-288 cupcakes. 

So for this one you'll want to write the equation as follows.

16x+10*(28-x)=400

In other words $16 times the number of scented candles, plus $28 times the total number of sold candles, minus the scented ones sold. We write both as a function of x (x and 28-x) to easily solve it.

After this you factor out the "10(28-x)" part which is 10*28+10*x and solve for X.  Below I'll post the full equation

16x+10(28-x)=400

16x+280-10x=400

16x-10x=400-280

6x=120

x=20

y=8

Check it's correct by 20*16+(28-20)*10=400

Hope it helps

Let P be the midpoint of diagonal BD.  Then by the trangle inequality, MP + PN > MN.  Also, BP + PN > BN and DP + PM > DM.  Then 2DP + 2PN > BC and 2MP + DP > AD.  Subtracting these inequalities, we get 2PN - 2MP > BC - AD.  Putting this together with the inequality MP + PN > MN gives you MN < (AB + CD)/2.

If MN = (AB + CD)/2, then everything must be parallel, so ABCD is a rectangle.

There are 13 possible pairs: (6,0), (6,2), (6,4), (5,3), (5,2), (5,5), (3,3), (4,6), (3,5), (2,5), (4,4), (2,6), (0,6).

The number of ways is 18*17*16 - C(20,2) = 4706.  

The answer is 286. It comes from the following sum:

1+3+6+10+15+21+28+35+45+55+66 = 286.

It is the number of ordered partitions of 10 as the sum of four numbers taken from the set 0, 1, 2, 3, ..., 10 . If we write these partitions as 4-tuples such as (3, 2, 0, 5), and take the coordinates to mean, say,

(3 units to the right, 2 units up, no movement to the left, 5 units down), then each partition would be uniquely associated with a lattice point in the plain (or is that plane?!). I have carefully counted the number of such ordered partitions and have a list of them, but am too tired at the moment to list them. 

So the answer is 286.

It was pretty bouncy, nevertheless, the distance that the ball has travelled was  40.00 ft  

I had the same problem when I was logged out.

You have to make an account

Thanks for understanding. :D

If you google odd funtions and even functions then you will know what the terms mean and it will be easy.

No I already took it and I couldnt do it anymore I just guessed but it was wrong 

What happened to the original question?

Are you in the middle of a test?

480/52

- There are 4 questions with 5 choices each which means that he's got a 1 in 5 chance or 20% chance of getting the answer correct pr.question.

There's a 1 in 20 choice or 5% choice in the pool in total...
But in total there's a total of 4 correct answers out of 20 possible choices.
That is a 4 in 20 or a 1 in 5 chance or 20% chance in total.

Alternatively, on a test with 40 questions there is a 1 in 4 or 25% chance that he gets either question Nr.37., Nr.38., Nr.39. or Nr.40. correct.

Hope that helped?


Kind regards...
BizzyX