APS OVER

[sxk1693]

Here are my questions:
53. |1-sqrt(3)i|

Is the geometric mean of a certain amount of numbers n = nth root of the product of the numbers?

49. The smallest angle in a triangle with sides 5,5sqrt(3),and 10 measures _____ degrees.

54. Find the sum of the coefficients of the binomial expansion of (2x-5y)^5.

[murali0298]

First of all.
No one cares how each AP you took was and whether you get/will get FIVES or not (at least I don't).

Yes. The geometric mean of n terms is the nth root of the product of the n numbers.

The smallest angle of triangle with sides 5, 5(sqrt 3), and 10 can be calculated using the special right triangles.
This seems to be a 30-60-90 triangle because the sides of a 30-60-90 triangle if 'a' is the smallest side are: a, a(sqrt 3), 2a.
In this case, 'a' is 5.
The smallest angle is 30 degrees.

I think the sum of coefficients of binomial expansion (ax + by)^n:
(a+b)^n.
So, in the case of (2x-5y)^5, the sum of coefficients is (2-5)^5 = (-3)^5 = -243.

[PokémonMaster]

First off, Murali is right (as rudely as he phrased it). Nobody needs to know that you found your AP tests to be "jokes". It makes you seem horribly cocky, and it can offend people who don't think they did as well.

Seeing as most of your questions have been answered,I can't do much but ask you to rephrase #53.

[murali0298]

On #53, is that supposed to be an absolute value sign around the complex number expression?

[nsguy1350]

I think the absolute value of a complex number just requires you to use the Pythagorean theorem.
Should be 2.

And good for you on APs. However if you're going to talk about them, you should do so in Chit Chat.
I agree that AP tests can be easy, but you have to study a lot for some and even get lucky (as I did on World History free response) sometimes.

[murali0298]

And sorry I was rude.
That was the best way I could phrase it at that time.