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AK 13 years ago
  That's confusing for me, manufan... O________O

Pence is how much? Just .01? And what's the AE?
manufan 13 years ago
  4 apples + 6 bananas = £1.20
6 apples + 4 bananas = £1.00

Find:

a) 1 of each
b) 5 of each
c) The cost of one banana
d) The cost of one apple
e) The rise in difference between apples and bananas.

Answers:
SPOILER
a) 22 pence
b) £1.10
c) 12 pence
d) 10 pence
e) The differnce rises by 2 each time.

To prove (c), (d) and (e) we calculate this:

Difference between £1.00 + £1.20 = 20 pence
Divide these figures by ten.
So, therefore

1 each = 22 (10 + 12)
2 each = 44 (20 + 24)
3 each = 66 (30 + 36)

Therefore, we get the answer to (e), the difference between an apple and a banana rises by 2 each time.
SimonM 13 years ago
  Well I have the same, but I've did some stupid mistake: log(sqrt(10))= -(1/2) but it should be 1/2, and because of this minor error everything else is wrong.

and you also said: "and the lenght of BC is given by the cube of the largest x-value in the following equation: " I thought you meant the maximum value( which are the solutions of the derivative) So I searched for the derivative instead of the roots.
Ferrari12 13 years ago
  angle c is 90 degrees, forgot to say that, but I got a different answer :/

Correct solution (I hope :P)
SPOILER

Calculations:
SPOILER
Calculate the value of y in the equation
SPOILER
log sqr root 10 * log (4y + 8)^2 = 1
log 10^1/2 * 2 log (4y + 8) = 1
0,5 * 2 log (4y + 8) = 1
log (4y + 8) = 1
4y + 8 = 10
4y = 10 - 8
4y/4 = 2/4
y = 0,5


Calculate the length of BC putting the value of into the equation:
SPOILER

(sqr root(x^2 + 3^3)^2 * log 10^x - binarylog 4)/(10^2logx + sqr root(9x^2) - ((2^0,75)^4 + 2)) = 8^2/3 + 0,5

((x^2 + 27)(x log 10 -2))/(x^2 + 3x - 10) = cubic root 8^2 + 0,5

((x^2 + 27)(x - 2))/((x - 2)(x + 5)) = cubic root 64 + 0,5

(x^2 + 27)/(x+5) = 4,5 / * (x + 5)

x^2 + 27 = 4,5x + 22,5

x^2 - 4,5x + 4,5 = 0

x1 = 3
x2 = 1,5

The length of BC was the highest x-value (3) cubed = 3^3 = 27

The lenght of BC is 27m


Find the lenght of AB:
SPOILER
sin 42,454 = 27/x
sin 42,454/1 = 27/x
27 * 1 / sin 42,454 = x
27 / sin 42,454 = x
x = 40

This also mean the radius of the semi-circle is 20m


Find the circumference of the semi-circle:
SPOILER
3,141592653 * 20m = 62,83m


Find the lenght of the two longest sides of the rectangle:
SPOILER
2x = 200m - 62,83m - 40m
2x = 97,17m / / 2
x = 48,585m

Each long side is 48,858 m long


Calculate AC of the triangle:
SPOILER
40^2 - 27^2 = x^2
871 = x^2 / sqr root
29,5 = x

The approximate length of AC is 29,5m


Calculate area of triangle ABC:
SPOILER
A = 29,5 * 27 / 2
A = 398,3 m2


Calculate area of rectangle:
SPOILER
A = 48,585m * 40
A = 1943,4m2


Calculate area of semi-circle:
SPOILER
A = 3,141592653 * 20m^2 / 2
A = 628,3 m2


Add together the areas of the different shapes:
SPOILER
A = 398,3m2 + 1943,4m2 + 628,3m2
A = 2970,1 m2


Final answer:
SPOILER
The combined area of the two fields = 2970 m2
SimonM 13 years ago
  Oh k, as google uses lg for binary logarythms.

edit: I did some attempt, but it's probably wrong, as I asumed that the angle C = 90°
then the surface of both is 969,376915 m².
if C is not 90° then it would be impossible to define AB and so the surface, I think, or I'm seeing something over my head.
Ferrari12 13 years ago
  This is very wierd because it didn't do that just some moments ago :/

I'll try to use words instead of symbols then.

[edit] Better?

Triangle ABC is not included in the circumference, lg was a writing mistake and is the same as log which is normal logarythms. Binarylog is binary logarythms and is only found once in the equation.
SimonM 13 years ago
  Do you count the triangle in circumference? lg is the binary logarythm? and log is the denary logarythm? Is the situation like this?(not drawn in scale and stuff) and you ask for the surface of the 2 fields? the circumference of the orange is 200m, isn't it?
like this?
manufan 13 years ago
  I hate those types of questions. :S
Ferrari12 13 years ago
  Here's a question for ya ;)

A field has the shape of a rectangle with a semi-circle at one end. The circumference of the field is 200m. At the other end, the field borders a triangularly shaped field congruent to the triangle ABC where angle A = 42,454 degrees and the lenght of BC is given by the cube of the largest x-value in the following equation:

(sqr root (x^2 + 3^3)^2 * log 10^x - binarylog 4)/(10^2logx + sqr root (9x^2) - ((2^0,75)^4 + 2)) = 8 ^ 2/3 + y


Where y is given by: log sqr root 10 * log (4y + 8)^2 = 1

AB = The short side of the rectangle = The diameter of the semi-circle

Calculate the combined surface area of the two fields.
SimonM 13 years ago
  Manufan, it's kinda obvious, as the sum of the digits is divisable by three the number is also divisable by three.
Hexicube 13 years ago
  oh THOSE numbers...
manufan 13 years ago
  . = 1, .. = 2, etc.

1st Triangle Number:
.
2nd Triangle Number:
.
..

etc.
AK 13 years ago
  ...wow, I didn't mean for there to be alternate solutions. Actually I did, but I didn't expect them to be realistic. O_O

Win for you, Simon. :P

More questions once i'm done with my homework.
Hexicube 13 years ago
  define triangle number
manufan 13 years ago
  @Hex, no, their digits all add up to one (As 55 isn't square).

For Example:

55 (5 + 5) = 10 (1 + 0) = 1

Or:

28 (2 + 8) = 10 (1 + 0) = 1

Try it! :)
SimonM 13 years ago
  The sister would be 27 years old in 12 years. Now she's 15 years old. Megan is now 26 years old. (26 + 7) / 11 = 3, (15 + 7) / 11 = 2

Also there are more possibilities, but they would be unlikely, because there would be an age difference of 22 or 33 or 44, etc...

Another solution(quite unlikely(22 year difference between sisters)): The sister would be 38 years old in 12 year. Now she's 26 years old. Megan is now 48 years old. (48 + 7) / 11 = 5, (26 + 7) / 11 = 3

The age of Megan can be defined by solving this equation: x = 22*n + 4 (where x is the age of Megan and n is an integer greater than 0)

7 years later, both of the ages are a multiple of 11, that means that the difference between the two ages is a multiple of 11.

x - ((x + 4) / 2) = 11*n
<=> x - (1 / 2)*x - 2 = 11*n
<=> (1 / 2)*x = 11*n + 2
<=> x = 2*(11*n + 2)
<=> x = 22*n + 4

The age of the sister after 12 years would be:
x = ((22*n + 4) + 4) / 2 + 12 = 11*n + 4 + 12 = 11*n + 16 (where x is the age of the sister after 12 years and where n is an integer greater than 0)

I will be in the smart section now. :p
AK 13 years ago
  D8

I forgot... :X

Question time! :D

5 points: Megan's sister is half as old now as Megan will be 4 years from now. In 7 years, both ages will multiples of 11. How old is Megan's sister in 12 years?
Hexicube 13 years ago
  theyre square numbers...I did that to my math teacher too...
theyre called pyramid numbers ;D
oh, also manufan, no point trying to get on that leaderboard...AK is barely active if ever, and ive been stuck 2nd for at least 2 months...in fact, its so old, it has my old username there...
manufan 13 years ago
  Bump!

What is special about all the triangle numbers that are not the multiples of 3?

An eleven year old pwned his maths teacher today with this (me), and if no-one gets it, then you're not good at lateral thinking.
jasperpostema 13 years ago
  Yes indeed Simon. When you know it's for example on the 0. You don't know: is it exactly on 0, or 2 cm behing etc.
SimonM 13 years ago
  yes you can, as the third axis is the depth axis, the z-co-ordinate. This is used for 3D objects.
manufan 13 years ago
  Another Question:

If we were to measure the co-ordinates of an object within three axis, could we get an exact measurement? If not, what would the axis that we couldn't get a measurement for, equate to?

I know the answer, let's see whether YOU know the answer. :)
SimonM 13 years ago
  (60*(75+3))/(8)=585
((75 * 8) + 60) - 3 = 657
(8!)/60-75+3=600
8!/(75-3)+60=620
((8^3) / 60) * 75 = 640
manufan 13 years ago
  Can you use the numbers 60, 75, 8 & 3 to make the number 616?

My Estimates:

(60 + 75) * 3 + 8 = 413.

(60 + 75) * 8 / 3 = 360

75 * 60 / (8 - 3) = 900

(8 * 60) + (75 + 3) = 558

60 * (75 - 8 / 3) = 1340

8 ^ 3 + (75 + 60) = 647

(60 ^ 3) / (75 + 8) = 2602.409638554217
Dynamo 13 years ago
  4

manufan 13 years ago
  Oh fine then. xD
SimonM 13 years ago
  That can happen!
manufan 13 years ago
  Actually...

(d) The theory, in terms of putting it into Flash does work, because if you have 0 lives, you're dead, but in this post, it won't because:

0 - 1 = -1.

Therefore; -1 * 25 = -25. How can a score be minus on a Brick-Breaker?
SimonM 13 years ago
  The theory will always work, even if you've less than 1 live. then it just get substracted.
manufan 13 years ago
  No, I was just asking a question on formulas, when I was doing one in Astro-Breaker...

Also, the formula is the "theory".

General

First post of the topic

AK 14 years ago
  This is a game where you get points for answering math questions the quickest! The more points you get the smarter you are!

Here we go!
First question(1p)

6-2=?

SCOREBOARD:
SimonM:50
MARC2008/Hexicube:41
THe NiNJa:37
Im:33
Martinfra:31
Ferrari12:30
Joe45:27
Allyally:17
Sillius:8
Flame22:7
SuperDog:7
Gamelover101:6
Dingdong:5
Gameinsky:5
Garygoh884:3
Gundu:3
Lololol:2
MatthijsM:2
Rocky:2
Demonicyoshi:1
PineappleDude:1
Zodiac:1


SMART(50-149)
SimonM


SUPERSMART(150-299)



GENIUS(300+)






Oh yes, and because I can't post it anywhere else:

DELTALEAGUE AMMO DEPOSITRY

Leader: AK

Guns:
SPOILER

The 1 and only Golden Gun: Able to be used only by AK. Fingerprint sensitive. Kills anything in one shot.

AK-47: Strong automatic weapon.

Falcon 2: A fast-shooting pistol. Can be used to pistol whip.

DY357-LX: Like the Golden Gun, it kills in one shot, but it's not as fast and can jam.

Callisto NTG: Gun that is created with super-tempered plasma. Ammo can shoot through doors, but not walls.

Combat Knife: A simple knife.

Shotgun: Shoots 6 bullets at once. Only short-range.

FarSight XR-20: Very strong gun, similar properties of Callisto. Can shoot therough anything and has X-ray device on it so you can see through walls to make a kill.

Crossbow: A cutting-edge technology crossbow. Can be loaded with tranquilizer darts or lethal darts.

K7 Avenger: Super strong semi-automatic machine gun.

Mauler: This gun fires heavy laser blasts that can take down even the toughest person with only 2 or 3 blasts.

Tranquilizer: Used to sedidate victims.

Laptop Gun: Super-fast firing machine gun that can be transformed into a Laptop. It can also be attached to a wall and used as a turret.

Dragon: A gun with a high-fire rate and the ability to turn into a self-destruct mine that you can throw.

Reaper: Very weak, but shoots at about 90 bullets per second.

Grenade: Arm, then throw. Can also be changed to "Pinball Mode", in which it bounces off walls until it hits a person.

AR34: Like the Avenger, it is super powerful. However, it can only shoot in short bursts.

SuperDragon: Like the Dragon, except can turn into a grenade launcher.

Slayer: Careful with this one. This is a rocket launcher that allows you to slow down and steer the rockets.

Timed Mine: Tick...tick...tick... BOOM!!!

RC-P120:Super fast machinge gun, effective in only close-range. Has ability to make you invisible for 30 seconds, but this drains all of the ammo.

Rocket Launcher: A basic Rocket Launcher. Useful for.... blowing crap up.

Proximity Mine: The moment anyone comes by.... BOOM!!!

Laser: This gun fires a steady laser pulse that can cut through even the hardest steel.

Devastator: A Grenade AND Rocket Launcher. The rounds are both extremely explosive and can clear an entire room in one blast.

MagSec 4: Shoots 3 rounds per shot. Very effective against one target, but takes long to reload.

Remote Mine: Wait until someone goes close, then press the button...

CMP150: A small, semi-automatic handgun. Its ammo is weak but still capable of killing a human in 2 seconds.

Psychosis Gun: Don't mess around with this, it only has one shot. This will turn a person against you into a member of your team.

Cyclone: A super-fast super-powerful weapon that is highly inaccurate also.

DY357: A super powerful hand pistol. Takes long to reload, but if you have 2, you're unstoppable.

Phoenix: A hand gun that shoots energy orbs. These are very powerful, but ammo is also very limited.

Sniper Rifle: A long-range sniper rifle, capable of killing someone 500 yards away from you.


Vehicles:
SPOILER

Hovertank: Hovers above the ground, able to move incredibly fast. Cannot be hit by mines.

Mototank: A weak, pathetic tank. Killed with one shot of anything, fastest tank however.

Rattler: Machine gun instead of a gun. Relatively weak, but not as much as the Mototank.

Goliath: Super strong tank. Main gun kills anything in one or two shots. Slow.

Gattling Goliath: Only availiable for creators of groups. Goliath with gattling guns on left and right sides. Faster than normal.

M1A1 Abrams: A classic tank. Medium strength, medium speed.

M2 Hydra: Small tank, but with 2 machine guns. Pretty fast, not as fast as Rattler.

FLP-E: Strong main gun, but poor shield. HOWEVER, this tank can flip on all sides to avoid any bullets or ammo.

Hornet: Run. This tank can shoot missles. Fast, but weak defenses.

Inferno
Marksman: Flamethrower for a main gun. Another weak defensive tank.

Rhino: Front is nearly invinsible, can take up to 10 shots from the Goliath. Its back is weak however. Fast-moving.

Anti-Aircraft guns: Able to shoot all aircraft down. Also used to sink ships. Slow-moving.
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