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The center of the cube is (3,4,5).  Neat!

(Oh yeah and I'm pretty sure 48 oz is the answer)

Wow good job!

That does me no good at all.  How did you get it? 

Thanks

(2,3)  and (-3,-3)  Im pretty sure

PQ cannot be 8 !!!

..........................................

PQ = 6

Radius = √22 

you just have to add 3 to each number 12  times then you get 83.

hmm...

2/5*2/5 = 4/ 25 = 0.16? Im not sure

All you need to do is keep counting upwards by 3 each time.

\(MQ=QR=RP\)

\(\angle QMR=\angle QRM=x\)

\(\angle MQR=180-2x\)

\(\angle RQP=\angle RPQ=180-(180-2x)=2x\)

\(\angle QRP=180-2x- 2x=180-4x\)

\(\angle MRN=180-(180-4x)-x=3x\)

because \(\angle NMR=\angle NRM \) we know that \(MN=NR\)

\(MN=NQ=NR\)

\(\angle NMQ=\angle NQM=\angle NRQ=\angle NQR=4x\)

\(\angle MQN+\angle NQR+\angle RQP=180\)

\(4x+4x+2x=180\)

\(x=18\) (C)

The probability is 3/25.

The total volume of the sculpture is 17/9.

It's a triangle

The answer is 22 squares in the plane.

Area = 12pi - 3.6pi = 8.4pi

Let x be the number of peaches Babken originally bought.

We can now represent the situation with an equation:

\({\frac {1} {3}}(x-{\frac {1} {3}}x-1)=3\)

The -1/3x and -1 comes from giving 1/3 and one extra to his sister.

The 1/3 at the front of the first bracket comes from the 1/3 he was left with after giving 2/3 to his brother.

Solving:

\({\frac {1} {3}}(x-{\frac {1} {3}}x-1)=3\)

\(x-{\frac {1} {3}}x-1=9\)

\(x-{\frac {1} {3}}x=10\)

\({\frac {2} {3}}x=10\)

\(x=15\)

Therefore Babken originally bought 15 peaches.

(2x)(3y) = 6xy

6xy = 46656

xy = 7776

So, essentially we are looking for two numbers(x and y) whose product is 7776.

Factor set of 7776: {1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 288, 324, 432, 486, 648, 864, 972, 1296, 1944, 2592, 3888, 7776} 

For any of the factors of 7776, there is another number in that same factor set that when multiplied by the first factor, gives 7776.

Eg. 2*3888 = 7776

Thus the sum of the factor set of 7776 is your answer.

Sum of the factor set = 22932

Solved! :)

[ABCD] = (8 * 12) + 1/2(8²)

3x + 0.5x + x = 180

x = 40

0.5x = 0.5y = 20

y = 40º

Oh yeah the key is Simplify :')

Your right the vertex is -4 -4 Why did I not see that? 

Hello, Sorry about that.

Here is a photo: