catmg

So 3/4 of the time, you win 2, and 1/4 of the time, you win -1. 

3/4*2 = 6/4

1/4 * -1 = -1/4

6/4 - 1/4 = 5/4

Hopefully that's the answer. :))

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Nice :))

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a)

1 and 4 are the square numbers. 

So the chance that neither dice show them is 2/3*2/3 = 4/9, meaning the chance that at least one was shown is 5/9. 

b)

9 * 5

9 savory options, and 5 sweet ones. 

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Note that everything cancels out so that the final equation is 2/(n+1). 

2/(n+1) = 1/500

Can you take it from here?

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Oopsies, my bad. 

AC = AE + EC, not AD + EC. 

I'm sorry if I got you confused. 

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a = a

b = a + 2

c = a + 4

b^2 - a^2 = 348

(b+a)(b-a) = 348

(a+2+a)(a+2-a) = 348

Solve for a and you'll have b and c. :))

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(a-4)(b-4)

ab - 4(a + b) + 16

Remember vietas can help you find sum and product of roots. 

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I'm going to assume that A is the center of the circle. 

AC = AB since they're both the radius. 

AD + EC = AB

Can you figure it out from here?

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Nice :))

I got sniped. 

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Try to measure everything in terms of the circle. 

The area of the parallelogram is equal to the area of the circle. 

The height of the paralleogram is equal to the raduis of the circle. 

The base of the parallelogram is half the circumfrence of the circle. :))

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