MathProblemSolver101

sin = opposite/hypotnuse

cos=adjacent/hypotnuse

tan=opposite/adjacent

a/h * o/h = ao/(h^2)

we want to find o/a

ao/h^2=-3/8

ao=-3/8 h^2

a/o=-3/8 h^2 o^2

o/a = -8/3 h^2 o^2

dunno if this helps.

Lol another alcumus question.

Note that \(\binom{n}{k}=\binom{n}{n-k}\) or you could just do it the general way. (Same easy)

\(\binom{223}{221}=\binom{223}{2}=\frac{223!}{221!2!} = \frac{223\cdot222}{2}=223\cdot111\)=59393

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Note: I may be tricking you! ;)

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This is to prove if you are just here for the answers or not. All these people put lots of time in this and most people just snatch the answers.

The formula is n(n-3)/2 where n is the number of the sides, so plug and chug!

20(17) / 2 = 10 * 17 = 170 diagonals

quite a lot huh?

Hint: Find the factors then find the LCM.

For digits 1-9, there is 1 digit.

For digits 10-99, there are 2 digits.

For digits 100-999, there are 3 digits.

Therefore, for digits 1-9, there is a total of 9 digits.

For digits 10-99, there is a total of 2((99-10)+1) = 2(90) = 180 digits

For digits 100-999, there is a total of 3((999-100)+1) - 3(900) = 2700 digits.

There is a total of 9 + 180 + 2700 = 2889 digits.

The 2889th digit is 0, so the 2890th digit must be 1.

The 110th digit after 2890th digit is 3.

Therefore the 1000th digit is also 3.

Tell me if I'm wrong.

Melody, CPhill, geno, anyone... could you verify this graph? Thanks.

So first we start off by making a diagram as shown above.

then, we split the quadrilateral into 2 pieces: triangle ABC and triangle ACD.

Triangle ABC is a right triangle, and use the Pythagorean Theorem to find the lengths. Then, you can find out the length of the base and height of the triangle ABC. You can find the area from there.

Next, find the length of AD and the length of C brought down. You can find the area from there.

After you're done with those, add them up.

You're done!

I know that you can do this from here. Good luck! Also, if you have any questions, don't be hesitant to ask!

-MPS101

Melody is just... great. She's a pro mathematician, and I cannot express the gratitude. You are so helpful! :)

I'll take a shot at this.

we now that cos x = -2/3

so cos x/2 = -2/3 x 1/2=-2/6=-1/3

Maybe -1/3?

List equations:

6x-2(x-2)=152

6x-2x+4=152

4x=148

x=37

x-2=35

35, 37 are the numbers

@EP hello!

Cphill beat melody again!