Math Is Fun Forum

after 1st day-1m
after 2nd day-2m
after 3rd day-3m
after 17th day-17m
day-24h
now, as there are 3m left, in the first part of 18th day (first 12h) it will reach the top. So it is 18th day, not 17th. It doesn't need to go back when it has reached the top -or if it does, that does not interest us. Question was:' When will it reach the top', so if it wants to jump after reaching the top that is its problem, not ours.
I hope you understand it know. My answer is correct, I assure you.

OK. For one day it climbs 1m(I agree with that ; 3-2=1), but when it comes to 17m(17th day) , it has 3m to reach the top. As it climbs 3m for 12h, he will reach the top on 18th day.

2AB = 2x - 1  ^2
4A^2B^2=4x^2 - 2x + 1
Now: A=sqr(x+1); B=sqr(x-1)
4x^2-4=4x^2 - 4x + 1
then:
4x=5
x=5/4
It was easy, because administrator has finished the difficult part.

Physics of Time   
Einstein’s first major contribution to the study of time occurred in 1905, when he introduced his special theory of relativity and showed how time changes with motion. The word relativity derives from the fact that the appearance of the world depends on the observer’s state of motion and is relative to the observer. Today scientists do not see problems of time or motion as absolute with single correct answers. Because time is relative to the speed an observer is traveling, there can never be a clock at the center of the universe to which everyone can set his or her watch. Einstein’s special theory of relativity tell us that an object traveling at high speeds ages more slowly than an object that is not traveling as fast. This means that if a person from Earth were to travel in outer space at a speed close to the speed of light (about 300,000 km per sec or about 186,000 mi per sec), that person could return to Earth thousands of years into Earth’s future.
Time is distorted in regions of large masses, such as stars and black holes. In Einstein’s general theory of relativity, which was introduced in 1916, the very existence of time depends on the presence of space. Einstein’s general theory explains how gravity warps and slows time and why time moves very slightly slower in regions of high gravity, such as near stars, compared to regions of lesser gravity, such as on planets. This time-slowing effect becomes pronounced in regions of extremely high gravity, such as near black holes.

Contributed By:
Clifford A. Pickover

If the triangle is equilateral then his angles are
180:3=60, and formula for surface you mentioned is for right-angled triangle.
If a=b=c=2 than P=(2xh)/2 . You can calculate h. cos30=h/a ; h=sqr3. So P=sqr3 - as you see this is not a whole number. This also could be the first proof.
But you should try to do it using Heron's formula which administrator mentioned.

About the problem 1=0

Let's take this for exapmle:
a=a
a+a-a=a  , now devide it with a+a
1-a/(a+a)=a/(a+a)
1=1 correct
but if you devide it with a-a then you have
(a-a)/(a-a)+a/(a-a)=a/(a-a)        (a-a)/(a-a) > 0/0 THIS IS NOT  EQUAL TO 1 so we do not have the problem 1=0. If we presume that 0/0=0 than equation would be correct, and it is the only way for it to be correct. SO:
0+a/(a-a)=a/(a-a).Is it true that 0/0=0 - my calculator doesn't think so. ????
The same problem occurred when you(administrator) devided (a-b) and (a-b) where a=b. You calculated that it equals 1 but it is incorrect.
But what I can not solve is the first problem where everithing is ok until this:
x^2-1=x-1 - this is also ok because we said that x=1
(x+1)(x-1)=x-1 - this is also ok - my appologies
THE SAME PROBLEM AS BEFORE 0/0 is not 1
I hope this was helpful