Mathematics - 13 December 2007

What is small angle theorem?
what is a radian? how does it differ from degrees?
what is the significance of radians?
how can I use small angle theorem and radians to prove that as the number of sides of a polygon increases to an infiite level it becomes a circle?

2007-12-13 03:53:55 · 2 answers · asked by Anonymous

(√6 - √12) (√2 + √3)

a. 2√3 - 3√2 + 2√6 + 6
b. 2√3 + 3√2 - 2√6 + 6
c. 2√3 + 3√2 - 2√6 - 6
d. 2√3 + 3√2 + 2√6 + 6

2007-12-13 03:52:45 · 4 answers · asked by peachy 1

a) probability of a sum greater than 3

b) probability of a sum NOT equal to 9 or 10

c) probability of a sum that is even and less then five


thanks!!

2007-12-13 03:46:23 · 2 answers · asked by Anonymous

b)8 = 2^x/3

c)9^y/5 = 27

d) 1/2 = 2^a/3

e)4^x/4 = 1/8

Thank you

2007-12-13 03:40:57 · 2 answers · asked by Anonymous

how many liters of a -10% solution of a chemical should mike mix with 30 liters of a 50% soution to obtain a mixture that is 40% chemical?


help..

2007-12-13 03:38:21 · 2 answers · asked by Anonymous

Ok i am really confused on these questions. Please help Best answer obviously gets the 10 points!!!!

25: Cans of dog food hold 3/4 lb. per can. How many cans can be filled with 6 lb. of dog food?
18
4
8
16


26: One can of concentrated orange juice makes 3/8 gal of juice when mixed with water. How many cans are needed to make 24 gal of juice?
30
25
64
49


27: A movie theater seats 324 people. If the theater is currently 2/3 full, how many people are in the theater?
216
268
603
252


28: A stock was listed at 32 and 1/4 points and fell 3/4 point during the week. What was its ending value?
31 1/2 pts
31 7/8 pts
32 2/3 pts
32 1/2 pts


29: Andrea biked 1 and 2/3 mi, then turned around to go home. After pedaling for 3/5 mi, how far was she from home?
11/15 mi
2 5/12 mi
1 1/15 mi
1 1/4 mi


30: Sandra drove for 5 and 3/10 mi to a city park, then she headed back home. After driving 1 and 1/5 mi on her way, how far was she from home?

2007-12-13 03:22:33 · 4 answers · asked by Anonymous

Alright, just had my Calc II final today, and there were two questions I wasn't too sure of.

The first: ∫ ln(x)/(x^(1/2)) on the interval of 0 to 1 - does it converge? I'm fairly certain that l'hopitals' doesn't work here, as plugging in 0 would give negative infinity over 0. If it does converge, the definite integral should be around -4 if I did my math correctly.

The second problem: does the sequence (1 + 3/n)^2n converge? If so, what value does it converge to? I wasn't sure how to approach this one, though I figured that the number in the parenthesis is always going to be > 1, therefore raising it to an increasing power will give a number that doesn't converge...although as the sequence continues on it will head towards 1... heh I think I might have answered my own question there, I must've been thinking of series while doing the problem at first.

2007-12-13 03:22:19 · 3 answers · asked by Anonymous

I have been toiling over this for a while...*how* do you find the slope of a negative value for x in the graph of the parabola y = (1/100)x^2??

As an example, could you guys give me an explanation as to **how** you would get the answer for the point (-100, 100)???

2007-12-13 03:18:58 · 5 answers · asked by netsurfer733 2

4) 3^2 - 2x = 1


Thank you

2007-12-13 03:15:05 · 2 answers · asked by Anonymous

The heights of 600 students were measured. The mean was found to be 65 inches with a standard deviaton of 2.5 inches. If the heights are approximately normally distributed, then 95% of the students should be between which 2 heights?

________ and ________

How many of the students should be less than 5 feet tall?


Thank You very much..

2007-12-13 03:13:57 · 2 answers · asked by azen 1

2007-12-13 03:09:43 · 3 answers · asked by Godfrey A 1

please help me answer these questions step-by-step..
1) Find two numbers whose sum is 9. If the product of one by the square of the other is a maximum.

2)The sum of the bases and the altitude of a trapezoid is 36 inches longer than the other. Find all three dimensions if the area is a maximum.

3)Find the shortest distance from the curve (y²=x³) to the point (8,0).

Help me please... T_T

2007-12-13 03:02:14 · 1 answers · asked by shebi 1

this should be SOO simple and i therefore am guessing that there is a glitch in the answers cause I dont see where i went wrong...maybe, i dunno...
Given that
sin theta = y /r
cos theta = x/r
tan theta = y/x
PROVE the following identity:
[ (1 + cot^2 theta) / (csc^2theta) ] = 1

can anyone help?? i cant get the LS to equal the RS :S
also, a slightly more difficult identity, i was having trouble:

prove:
[ (csc theta) / (1 + csc theta)] + [ (csc theta) / (1 - csc theta)]
= [(2 sin theta) / cos^2 theta)]

please help...i dont know where i am going wrong!! i would appreciate anyone's help! thanks ^_^

2007-12-13 02:57:57 · 9 answers · asked by Anonymous

i missed 2 days of school and now i dont understand the homework i need to 'teach myself'. it has to do with proving cofunction relationships:
First of all, it says in an example on my handout that

sin ( pi / 2 + theta) = [ (a) / (root of all (a^2 + b^2)) ]
and that
cos theta = [ (a) / (root of all (a^2 + b^2)) ]
??? there's a diagram illustrating this on my sheet, with 2 right angle triangles in the first and second quadrants...?
and secondly (the actual question im stuck on...)
it says that using;
the following information, i need to derive a relationship for each of the following and then prove the relationship???

(a) csc (3/2 pi - theta) (b) sec (3/2 pi - theta)
(c) cot (3/2 pi - theta)

i dont understand any of this...so confusing to me...can anyone help please??

(btw if this helps, it says use the relationship in the previous question to answer this, and the prev. question was
sin (270 degrees - theta) / - cos theta

thank you!!!!

2007-12-13 02:37:44 · 2 answers · asked by Anonymous

2007-12-13 02:36:41 · 6 answers · asked by Anonymous

Lim x-->2- (x approaches 2 from the left) 2x-4/x-2

What if the limit of the numerator and denominator is both 0?

2007-12-13 02:24:31 · 4 answers · asked by Anonymous

I'm working on Advanced functions and linear rational funtion. Whats the differnee between a closed and open bracket when stating domain?

2007-12-13 02:11:37 · 3 answers · asked by myname_isalbert 1

Two of the factors of f(x)=2x^4 - 3x^3 - 7x^2 -8x + 6 are (2x-1) and (x-3). Find another factor. How did do I do this problem?

2007-12-13 02:08:07 · 3 answers · asked by Anonymous

-15 + 6a= 5a -32

2007-12-13 02:04:16 · 8 answers · asked by Anonymous

thank you very much

2007-12-13 02:01:58 · 9 answers · asked by Anonymous

of a building has an angle of elevation of 65 . If the angle of elevation to the top of the building is 50^degree, How tall is the building?

2007-12-13 02:01:19 · 3 answers · asked by Success 1

2007-12-13 01:44:45 · 9 answers · asked by (ƸӜƷ) 1

can someone tell me what 14.5 divided by 4.125

2007-12-13 01:37:51 · 6 answers · asked by Anonymous

2007-12-13 00:16:15 · 17 answers · asked by Anonymous