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What is a fight angle?

Like this

\(\sqrt1+ ... \sqrt4+ ...\sqrt9+...\sqrt{16}+...\sqrt{25}+...\sqrt{36}+...\sqrt{49}+...\sqrt{64}+...\sqrt{81}+... \sqrt{100}\\ 3*1 + 5*2 + 7*3 + 9*4 + 11*5 + 13*6 + 15*7 + 17*8 + 19*9 + 10\\ 3+ 10 + 21 + 36 + 55 + 78 + 105 + etc \)

sumfor(n, 1, 100, floor(2#n))==625

ok .... thanks EP

I didn't put a link so it shouldn't make any difference.

c = 12/13, d = 183/225

Answer
2 1 3

1 8 7

1 3 4

The formula is \(\pi r^2h\). Subsituting, we have \(\pi \times 15^2 \times 9\). Solve and simplify for \(\pi\)

Let the 3 numbers be \(x, x+1, x+2\)

We have the equation: 

\(x(x+2)=17+3(x+1)\)

Simplifying into a quadratic:

\(x^2 - x - 20 = 0\)

Factor:

\((x+4)(x-5) = 0\)

We want x to be positive, so x must equal 5, meaning the 3 integers are \(\color{brown}\boxed{5,6,7}\)

You make a profit of 21 dollars for each dog you groom. 

You need to make 315 dollars to breakeven, and \(315 \div 21 = \color{brown}\boxed {15}\)

The numbers are: 5,  6,  7

5 x 7 ==3 x 6 + 17 ==35 == 35

A. It looks suspiciously like the homework your teacher assigned. 

B. No image, so I can't help you, even if I wanted to...

wait... I spelled it wrong... It's safeshare.tv, add a youtube video and it will "unblock" it. Note: it only works on "appropriate" videos. An inappropriate video will be blocked on safershare.

Since there is no statement on who normally lies or not --- I will treat this as an IRL situation.

So E and B are saying it was the other person because E is defending himself, and B is the accusor because he said it BEFORE E. A first said that D broke it, and D was also defending himself. C didn't break it because noone accused him, and he said so himself so the probability of him breaking it was the least. 

If D was telling the truth, then he would've not only defended himself, but also put the blame on someone else. I think B is less suspicious than D, and is just blind or saw it wrong. 

Child D broke it (i think) 

Ooops    complementary means they sum to 90

so   72 and 18

2x+7 = 72   solve for 'x'

Sorry guest, but you have it mixed up --- complementary is sum to 90 --- SUPPLEMENTARY is the term you are proposing to use.

Complementary means they sum to 90 degrees.

Thus F + G = 90.

Substituting the values in, we have:

2x + 7 + 18 = 90

2x + 25 = 90

2x = 65

x = 32.5

Angle F = 72 degrees

Angle G = 18 degrees

:)

I think they are trying to 'hack' around a youtube block that the school might have on their computers    ~ EP

How to put up dry wall is hardly relevant to a maths forum but I thought it was interesting and the clip works fine.

I suppose you are after hits??

For what base is the representation of $285_{10}$ a four digit number whose final digit is odd?

The base is obviously going to be between 2 and 9  (smaller than 10 because we need more digits)

Possibilities  2,3,4,5,6,7,8,9

now when you divide 285 by the new base you have to get an odd remainder.

So what possible bases could it be so far?  

After that, for the base you need I will call it b

\(b^3<285

So you can eliminate the ones that don't work till to hone in on the ones that do.

Remember the defintion of sec = 1/cos

so this becomes     cos / ( 1/cos)  - 1/cos * cos

                                    cos^2   - 1        

                                 (1-sin^2)  - 1   =   - sin^2  

the rate of change from x=5 to x=9 is 2