catmg

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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150-23 = 127 people brought pies.

75 + 89 = 164 total pies.

If everyone brought 1 pie, 37 pies are left, so 37 people must've brought another pie. 

75 - 37 = 38 people only brought pumpkin pies. 

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Thank you. :))

I've used pygame before to create things like tetris or snake, but I didn't think it would be right since buttons were hard to make. 

Repl.it is great for collaboration projects since you can share it with other people, however it is a lot slower than other IDEs. 

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large number = x

small number = x-13

x^2 + (x-13)^2 = 103

Solve it from there. :))

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256 squared is 256^2.

The square root of 256 is sqrt(256).

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Congratulations on your last assignment :))

The period is 40 seconds, since it completes one revolution every 40 seconds. 

The amplitude is 50 feet, since the distance between the lowest and highest points of the Ferris wheel is 100 feet.

The midline is 55 feet, since the center of the Ferris wheel is 55 feet above the ground. 

Can you graph it from here?

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Sorry I'm a bit late, I was sleeping. :))

-cos(x)/(tan(x)-1) = cos(x)/(1-tan(x))  I simply multiplied both sides by -1, and since we now have the same denominator, as sine(x)*tan(x)/(tan(x)-1), we can just add the numerators together. 

As for your method, I think you messed up on the second to third line, you included the -1 outside of the denominator of the fraction. 

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Oops, my bad. 

My brain stopped working for a moment.

Thank you for correcting me. :))

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It seems a bit weird that nickel has equal heads as pennies. 

I think you forgot the scenerio where nickel has 3 heads. 

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Could you fix the latex please?

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sine(x)*tan(x)-cos(x)

_______________  = sine(x) + cos (x)      # I'm using that line as division cause it's easier to visualize I think 

tan(x) - 1

sine(x)*sine(x)/cos(x)-cos(x)

_______________                     

sine(x)/cos(x) - 1

sine^2(x)-cos^2(x)/cos(x)

_______________                     

(sine(x)-cos(x))/cos(x)

sine^2(x)-cos^2(x)

_______________

sine(x)-cos(x)

sine(x) = a

cos(x) = b

(a^2-b^2)/(a-b) = a + b

So our answer simplifies to sine(x) + cos(x)

Last time I tried your problem, Melody taught me this cool triangle trick that I would suggest you to go see, if you haven't yet. :))

Quite useful. 

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