Mathematics - 21 July 2007

A triangle is formed when you extend the edges of a line segment to a point outside the line containing the line segment. The area is bh/2, where b is the length of the line and h is the perpendicular distance.

Similarly, a cone, pyramid, etc. is formed when you extend the edges of a circle, polygon, etc. to a point outside the plane of the figure. The volume is ah/3, where a is the area and h is the perpendicular distance.

Does this pattern continue to higher dimensions? For example, if you extend a 3-D solid to a point outside the solid's 3-D space, is the "hyper-volume" vh/4, where v is the volume of the solid and h the perpendicular distance?

Also, what about circles, spheres, etc? Letting d = diameter, the area of a circle is πd²/4. The volume of a sphere is πd³/6. Does this pattern continue, i.e. is the hypervolume of the 4-D sphere πd^4/8?

2007-07-21 09:07:57 · 5 answers · asked by Anonymous

If anyone could explain how the following is done, it would be greatly appreciated!

Write the equation for the surface generated by revolving the given around the indicated axis.

4x + 9y^2 = 36 around the y-axis

2007-07-21 08:58:46 · 3 answers · asked by oldtimer 2

Find the GCF for the list.
23b^2, 23b^2k^4, 19b^3

23b^2
b^2k^4
b^2
23b^2k^4

2007-07-21 08:57:18 · 5 answers · asked by Anonymous

Factor by grouping.
24x^2 - 20x + 30x - 25

(24x + 5)(x - 5)
(4x - 5)(6x + 5)
(24x - 5)(x + 5)
(4x + 5)(6x - 5)

2007-07-21 08:54:32 · 4 answers · asked by Anonymous

Factor out the GCF from the polynomial.
96x - 12

12x(8 - 1)
12(x - 8)
12(8x - 1)
12x(8x - 1)

2007-07-21 08:53:14 · 9 answers · asked by Anonymous

2007-07-21 08:52:13 · 6 answers · asked by curiosium 1

Factor by grouping.
xy + 11x - 2y - 22

(x - 11)(y + 2)
(y - 11)(x + 2)
(x + 11)(y - 2)
(y + 11)(x - 2)

2007-07-21 08:51:27 · 4 answers · asked by Anonymous

integral x^3 dx, from 0 to 2.
Use the trapezoidal rule and simpsons rule to approximate the value of the definite integral.

2007-07-21 08:42:56 · 3 answers · asked by LISA C 1

2007-07-21 08:42:23 · 4 answers · asked by black cherry 1

Use the quadratic formula to solve the equation.

9x^2-5x-3=0


Answer: The solution set is {_____,______}
(Simplify your answers. Type an integer or a decimal number with 4 decimal places, as needed, and in increasing order. Type N if there are no real solutions.)

2007-07-21 08:39:57 · 3 answers · asked by hllywdbabe7 1

please go to this website


http://www.mtoliveboe.org/440230123102814/lib/440230123102814/summergeometry07.pdf


and i need help with number 10... The last question of part 3.... please 10 points for the best one.....

2007-07-21 08:02:44 · 3 answers · asked by hey 3

Something easy to remember, please?


thank you,
Lakshmi Parimala

2007-07-21 07:39:59 · 14 answers · asked by Anonymous

2x + y = 18
2x - y = 22
thanks

2007-07-21 07:37:44 · 7 answers · asked by Anonymous

x + 3y = 23
3x - 2y = 3

thank you for your help

2007-07-21 07:36:16 · 9 answers · asked by Anonymous

y = 5x
2x + y = 28

thank you

2007-07-21 07:34:40 · 3 answers · asked by Anonymous

I'm reposting this question in order to continue discussion on this matter. See original posted question:

http://answers.yahoo.com/question/index;_ylt=AqDfOmto4wKkfjyBks2D4Prty6IX?qid=20070716085410AANyufm&show=7#profile-info-uDRfzKDFaa

2007-07-21 07:34:15 · 2 answers · asked by Scythian1950 7

Lea has a pizza business. The times to prepare and deliver pizzas are aprox. normally disributed w/mean =20 mins & standard deviation of 10 mins.
a) Suppose that leo advertises "If it take more than 30 mins to get your pizza, you get it free." What frarction of this take-out-pizzas will he have to give away free?
b) how long a time should Leo allow if he wants to give away no more than 5% of the pizzas?

2007-07-21 07:13:55 · 3 answers · asked by Anonymous

2007-07-21 07:11:51 · 7 answers · asked by mualim 1

Always

Sometimes

Never

2007-07-21 07:08:13 · 7 answers · asked by zerokun4 1

m^2+m + 1 =0
p^2 -4p + 4=0
2x^2 +5x+5=0
4/3x^2-3x+3/4=0

2007-07-21 07:05:32 · 4 answers · asked by littlesoutherner12 1

8x/24

2007-07-21 07:05:20 · 8 answers · asked by gloriousnina 2

2007-07-21 07:03:51 · 12 answers · asked by I C 1

1. 4x^2 +7x-2

And how do I solve this by factoring?
2. 2x^2-9x-5=0

2007-07-21 07:01:43 · 15 answers · asked by gloriousnina 2

2007-07-21 06:59:12 · 3 answers · asked by jack 1

2007-07-21 06:49:36 · 9 answers · asked by daneris f 1

In number theory, which conjecture states a basic result regarding the rational number solutions of Diophantine equations?

2007-07-21 06:40:16 · 1 answers · asked by England 2

2007-07-21 06:38:04 · 11 answers · asked by daneris f 1

http://s194.photobucket.com/albums/z4/dbrine/?action=view¤t=t4q8.png

2007-07-21 06:37:09 · 2 answers · asked by Anonymous

2007-07-21 06:32:11 · 3 answers · asked by littlesoutherner12 1

A tennis club offers two payment options:
Option 1: $42 monthly fee plus $5/hour for court rental
Option 2: No monthly fee but $8.50/hour for court rental.
Let x = hours per month of court rental time.
a) Write a mathematical model representing the total monthly cost, C, in terms of x for the following:
Option 1: C=_________________
Option 2: C=_________________
b) How many hours would you have to rent the court so the monthly cost of option 1 is less than option 2? Set up an inequality and show your work algebraically using the information in part a.
Answer:
Show your work here:

2007-07-21 06:31:21 · 2 answers · asked by peanut1 1