Mathematics - 12 August 2006

I came to this question just recently, when I discovered how to calculate the value of φ (phi). I found out this equation:
(a+b)/a=a/b=φ ; where a is the larger part, b is the smaller part, and a+b is the combination of the two.
Working with the equation a/b=φ, a=bφ.
Substituting bφ to a in the equation (a+b)/a=a/b, it will become:
(bφ+b)/bφ=bφ/b
[b(φ+1)]/bφ=φ
(φ+1)/φ=φ
φ+1=φ^2
φ^2-φ-1=0
Solvin this equation using the quadratic formula, φ is equal to:
φ = {1 + [5^(1/2)]}/2
with this, φ is approximately 1.618
With this solution, compared to the solution for the value of π, this is more concise and short. Actually, this is a LOT shorter.
Considering that both π and φ ARE irrational, and the value for φ can be computed as shown above, is there a shorter way to compute for the value of π?
I'm just so curious...

2006-08-12 23:47:23 · 11 answers · asked by fictitiousness ;-) 2

They are unable to make out that 5 >3 in short they are unable to make out the greater number and lesser nos.Right now they are in grade 2 which is affecting them to do the sums like addition and substraction. They can do the addition without carrying but they forget to add the carry on which i have remind them all the time. In substraction they are well in without borrowing but with borrowing they cannot make out which one is greater and which one is lesser. they borrow even it is bot needed. that is the main problem. and only mean that they are unable to understand the number concept. I have tried with several method but in vain. pl help me to make tham understand the number concept.

2006-08-12 23:36:01 · 10 answers · asked by menuka d 1

(Advance stats question) just wanted to know the applications of the measures of central tendencies and applications of variations hoping for answers that have more than 2 or 3

2006-08-12 22:15:34 · 2 answers · asked by darkeremblem 2

okay again, i have two more questions. for fun.

Q1: A and B are two points on the circumference of a circle centre O and radius 4 cm. If the chord AB is of length 6cm. find the angle the minor arc AB subtends at the centre(in radians to 2 decimal places) and the area of the corresponding sector OAB.

Q2: A and B are two points on the circumference of a circle centre O and radius r. The minor arc AB subtends an angle θ radians at O. If the area of the minor segment bounded by the chord AB and the circle is one quarter of the area of the minor sector AOB, show that 4 sin θ = 3θ.

thanks again. =p

2006-08-12 21:43:24 · 5 answers · asked by maths_dumbass 1

2006-08-12 21:24:40 · 8 answers · asked by chinusan123 1

im a jr. in high school and i havent gotten math since i was a child and we were counting cherrios. In my school they have a basic math class. I tryed to get in Special ed. in the 5th grade and they made me take a test to see if i was a add adhd,..ect student. Now im a jr. and i really want to graduated high school and i wanted to know if they would put me in there if i asked. I REALLY NEED HELP. I can do every other subject. i live in oklahoma

2006-08-12 21:12:05 · 3 answers · asked by Anonymous

2006-08-12 21:05:27 · 9 answers · asked by abby 1

2 to the power of 4 times 2 to the power of 6 diveded by 2 to the power of seven: i do not know the answer and how do you work it out do you times 6 and 4 then divide by 7???

2 to the power of 15 divided by 2 to the power of 6 : how do you work out the answer?

what happens when there are brackets?

( m to the power of 10 divided by m to the power of 3 ) divide m to the power 3 ???

and:

b to the power of 9 divided by b to the power of 3 does that equel b to the power of 3????

and what do you do for this

( b to power 3) than power of 3?

thanx so much!

2006-08-12 20:30:30 · 6 answers · asked by Jane 1

in my experiments, i encounted trouble of analysis the data!
the aim of my study to evaluate the dianostic value of MIP and MPR in lung nodus. 3 radiologist review 23 patients' CT images of MIP and MPR, each evaluated the diagnostic value of images by a 5 scale score(1 forleast 5for excellent). my question is what statistic method is useful .? how do it by spss?

2006-08-12 19:20:26 · 2 answers · asked by hjzhhjzh 1

Write if you can may be upto 6 or 7 decimal places

2006-08-12 19:03:51 · 28 answers · asked by ZxssxZ 5

Okay i have two questions here actually. I tried figuring out the whole night but to no avail. So if you guys could help, it'll be a great thing.

Q1: A particle moves along a straight line and t seconds after passing through an origin O the velocity of the body is given by v=kt^2 - ct, where k and c are constants. When t=2 the body is again at O and has an acceleration of 6 ms^-2. Find the values of k and c.

Q2: A body moves along a straight line with acceleration given by a=7t/36, where t is the time in seconds. When t=0 the body is at rest at an origin O. The acceleration continues until t=6, whereupon it ceases and the body is retarded to rest. During this retardation the acceleration is given by a=-t/4. Find the value of t when the body comes to rest and the displacement of the body from O at that time.

pls pls pls guys. somebody. i'm desperate. hehe =p. thanks yah.

2006-08-12 18:46:39 · 7 answers · asked by maths_dumbass 1

how many squares are there in a 6 by 6 square???

2006-08-12 18:42:04 · 17 answers · asked by Amanda 2

A water treatment plant is built with three cylindrical tanks to contain the water for a town. Each tank has a radius of 15 feet and a depth of 25 feet and there are about 7.5 gallons in a cubic foot of water.
Engineers know that the amount of water lost due to evaporation is directly proportional to the surface area of the holding tanks and that the local climate causes water to evaporate at the rate of about 1/10 gallons of water per hour for each square foot of water exposed to the air. About how many total gallons of waste water may enter the three tanks each day to maintain full capacity?
A. 2.1 x 10^2
B. 1.7 x 10^3
C. 5 x 10^3
D. 5 x 10^4

2006-08-12 18:09:23 · 5 answers · asked by Anonymous

the cylinder would probably be 12' long and 6' wide

2006-08-12 18:04:18 · 7 answers · asked by Yvonne G 1

2006-08-12 17:47:00 · 5 answers · asked by Anonymous

2006-08-12 17:27:02 · 8 answers · asked by The "Spence" 2

Is there any formula or something to find out log and antilog of a number?

I want this to calculate:
X^Y
where X and Y are both fractions.

2006-08-12 17:25:28 · 8 answers · asked by Swaroop B 2

Ever notice that when mathmeticians generalize something they mean "with no exceptions" - e.g. you may prove something for one example, then generalize it to all cases.

But in common speech, when we say "in general" or that we are "generalizing" we mean that we are saying it is for all cases, but we acknowledge that there are a few exceptions.

I think it explains why sometimes students have problems learning proofs. that is, when we take common speech words and modify their meaning a bit.

2006-08-12 17:13:29 · 7 answers · asked by Anonymous

(x^(2/3)*y^(-3/4))^(12/3)

^ =power of

2006-08-12 16:42:33 · 7 answers · asked by Sasha 3

This question has been bugging me for quite some time now and my maths teachers can't seem to come up with any answers. Most books just state that's how it is without any further explanation. Sure the formulae can be proven by plotting two perpendicular lines and measuring their gradient, but is there any theory (like trigometry, calculus, etc) to show where this formulae was derived from?

2006-08-12 16:40:57 · 5 answers · asked by Anonymous

2006-08-12 16:20:14 · 14 answers · asked by David G 1

A rectangular box has dimensions 1 1/2 feet x 2 feet x 3 feet. What is the length of the longest object that can be put in the box, if the object can be placed in any position?



A. 3.6 feet

B. 3.9 feet

C. 6.5 feet

D. 15.25 feet

2006-08-12 16:17:17 · 5 answers · asked by Anonymous

2006-08-12 16:17:05 · 7 answers · asked by David G 1

Sorry, I dont know how to contact you

Ana

2006-08-12 16:16:11 · 4 answers · asked by Ilusion 4

2006-08-12 16:14:06 · 7 answers · asked by David G 1

2006-08-12 16:10:58 · 3 answers · asked by David G 1

2006-08-12 16:02:40 · 18 answers · asked by David G 1

2006-08-12 15:18:29 · 3 answers · asked by lippoo 2

Please be detailed

2006-08-12 15:11:02 · 6 answers · asked by franciscoeleodoro 1

2006-08-12 15:09:35 · 6 answers · asked by Lily 2