Mathematics - 11 August 2007

A man looking at a building at a 62 defree angle is standing 12 feet from the base. Find the height of thebuilding to the nearest hundredth of a foot.

2007-08-11 05:18:42 · 10 answers · asked by liz 2

(x - 2)(2x - 5) = 0

x2 + 6x - 27 = 0

x2 + 6 = -5x

5x2 = 2x - 7x2

3x2 + 6x = 2x2 - 9

5x2 - 11x + 2 = 0

x2 - 9 = 0

The area of a rectangle is 24 square meters. Find the length and width of the rectangle if its length is 2 meters greater than its width. Use an equation and the formula ® area of a rectangle = (width)(length).

2007-08-11 05:08:44 · 6 answers · asked by Texas Rose 3

I drove to the beach yesterday, at a speed of only 10 miles per hour. I drove back at a faster speed, and when I did the math, I found my average speed for the round trip was 20 miles per hour. What was my average speed home? Am I lying? Why?

2007-08-11 04:46:09 · 5 answers · asked by Gary H 6

can someone help me with differentiation?


Utility (at optimum) is always = 0
if for eg, the utility function = 2x³y
du/dy = 2x³
and du/dx = (3)(2)x²y = 6x²y
and dx/dy = 3y/x

am i correct with my example?

2007-08-11 04:29:01 · 3 answers · asked by Anonymous

If one is given, sin^2x one can change that into (1-cos^2x). If one is given sin^4x one can change that into (1-cos^2x)^2. So if one was given sin^5x, would one change that into (1-cos^2x)^5/2...if not plz explain what one must do to change sin^5x into the (1-cos^2x) form. Therefore, what would be the general rule?

2007-08-11 03:14:17 · 4 answers · asked by SSj4Monkey 1

please work!

2007-08-11 02:51:39 · 10 answers · asked by Anonymous

I know I can graph circles using the standard equation when the circle equation is simple like x²+y²=1,where the center is at (0,0), and I put √(1-x²) and -√(1-x²) into the calculator,

but once the equation gets complicated with the center somewhere else besides the origin, I don't know how to write it into the equation.

For example: (x-2)²+(y+1)²=1, I know how to graph manually with center at (2,1), but how do I graph this on a scientific calculator?

I know I have to get "y" by itself by subtracting (x-2)², but do I take the square root then subtract the one or vice versa?

I know this is a bit long, but any help is appreciated. Thanks.

2007-08-11 02:28:33 · 5 answers · asked by shih rips 6

Plz guide me in the following questions, step by step & plz write all important formulas, since my Linear Algebra is not good:
Q1-Find all unit vectors in the plane determined by u=(3,0,1) and v = (1,-1,1) that are perpendicular to the vector w= (1,2,0). Ans. (6/√61,-3/√61,4/√61)
Q2-Use the cross product to find the sine of the angle between the vectors u =(2,3,-6) & v= (2,3,6). Ans.12√13/49
Q5-Distance between the point P and the line through A & B: P(-3,1,2),A(1,1,0),B(0,2,-1). Ans.2√141/√29
Thank u in advance, and if u could provide me ur E-mail address to have future contanct in order to ask questions of MATHEMATICS. Thank u again.

2007-08-11 01:07:35 · 3 answers · asked by Anonymous

2007-08-11 00:40:12 · 43 answers · asked by ártybhoy . 1