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It's happened once before CPhill......then you chose some other teams for "difference"!

This is a rarity.....I agree with every one of your picks.....(I'm hoping like heck that the Ravens beat the Pats......and that there is  no  "funny business" from the refs in that GBay / Dallas game....!!!!)

Don't say that till you try. Formula>Trigonometry has the answer that we don't.

it's 4........

Idiot

The tree makes a right triangle.

From the corner angle of 46°, the line to the tree is the adjacent side (2 m), and the tree is the opposite side (x).

Using tangent:  tan(46°)  =  x / 2   --->   x  =  2 · tan(46°)   --->   x  =  2.1 meters

Let the number be "N".....and let's write 4% as .04...so we have

.04 * 34993 = N

Can you take it from there??

I'm assuming that you mean the line of sight from the tip of the shadow to the top of the tree is 46 degrees..if so, we can use the tangent function to solve this....the height of the tree is given by

Height = 2 * tan (46)

If the price was decreased by 60%, you ended up paying only 40%.

40% of the original price is 18.60

Letting  x  represent the original price:

   0.40 · x  =  18.60

Dividing both sides by 0.40 --->   x  =  46.50

Take away 11. 33-11=22

22/2=11

x=11

I believe that it will end in three zeros for this reason:

11 = 10 + 1

So:  11^100  =  (10 + 1)^100

Using the Binomial Theorem:

The last term will be:  100C0·(10^0)·(1^100)  =  1

This term will be coancell by the -1 term. So it will end with a zero.

The second last term will be:  100C1·(10^1)·(1^99)  =  (100)(10)(1)  =  1000    (three zeroes)

The third last term will be:  100C2·(10^2)·(1^98)  =  (4950)(100)(1)  =  495.000    (three zeroes)

The fourth last term will be:  100C3·(10^3)·(1^97)  =  (161700)(1000)(1)  =  161700000    (won't change the three zeroes at the end)

The fifth last term will be:  100C4·(10^4)·(1^96)  =  (3921225)(10000)(1)  =  whatever, but won't change the three zeroes at the end.

Similarly for all the other terms; the power of ten won't change the three zeroes at the end.

Does anyone know I really need help!

5x - y  =  54    --->     5x  -   y  =   54

3y  =  5x - 72   --->   -5x + 3y  =  -72

Add down:                          2y  =  -18

Divide by 2:                          y  =  -9

Substitue this back into either equation to get the value for x.

There will be one, and only one, solution. 

You can find several by searching for "order of operation video".

The formula for combinations is a modification of the formula for permutations.

The permutation formula:  _nP_r  =  n! / (n - r)!

With permutations, order is important; with combinations, order is not important.

With permutations, these sets of three letters are different:  ABC, ACB, BAC, BCA, CAB, CBA.

With combinations, these sets are not different, because their order is not important.

So these 6 sets in a permutation create only 1 set in a combination.

Thus, you have to divide the answer in the permutation by the number of ways that the selected letters can be arranged.

The number of ways that r elements can be arranged is r!.

So divide the permutation answer by r! to get the combinations answer:  _nC_r  =  n! / [ (n - r)! · r! ]

Draw the circle, include the center, and draw the tangent.

Call the center C, the point of tangency of the circle and the tangent T, and call the point on the tangent P.

The points C, T, and P create a right triangle with a right angle at T.

TC = 4 and PT = 10. Use the Pythagorean Theorem to find the length PC:

     PC²  =  PT² + TC²   --->   PC²  =  10² + 4²   --->   PC²  =  116   --->   PC  =  √116

To find the size of ∠TPC:  If you use tangent:  tan(∠TPC)  =  4/10   --->   ∠TPC  =  21.8° (approx)

Let  D  stand for the cost of a hot dog and  H  stand for the cost of a hamburger.

7D + 2H  =  14.50     --->   multiply by 2   --->   14D + 4H  =     29.00

2D + 7H  =  17.00    --->   multipoly by -7  -->  -14D - 49H  =  -119.00

                                       add down:                        - 45H  =  -90

                                                                                   H  =  2.00

Substituting into the first equation:  7D + 2(2.00)  =  14.50

                                                        7D + 4.00  =  14.50

                                                                   7D  =  10.50

                                                                     D  =  1.50

A formula that works for problems like this is:

(Percent)·(Amount)  +  (Percent)·(Amount)  =  (Final Percent)·(Final Amount)

Since the final amount is 54L, the amounts that are combined to make this are:  x  and  54 - x.

Let the amount of pure acid to be x and the amount of the 10% acid solution to be 54 - x.

Pure acid is 100% acid.

(Pure acid) + (10% Solution)  =  (20% solution)

(1.00)(x) + (0.10)(54 - x)  =  (0.20)(54)

        x       +  5.4 - 0.1x  =  10.8

                   0.9x + 5.4  =  10.8

                             0.9x  =  5.4

--->  x = 6 L of pure acid to be added to 48 L of a 10% solution.

The answer is $29.11 average per cumstomer

4 bro 

geno, you can never square root a number and get a negative

2.4 every minute. multipy that by 60 to get 144

being forced to guess that you put an extra + in by accident your answer is 0.5

1 and 2 would both be friday. ill let someone else do the rest