Math in Real Life
You are the boss of a supermarket. A man bought goods worth 80 DHS and paid you with a counterfeit 100 DHS bill.
Question: How much did you lose in this transaction?
100DHS
Who lived earlier, Euler or Euclid?
Euclid
Prove that the sum of the interior angles of an n-sided polygon is (nā2)Ć180ā
Correct proof gets point
What is 270o in radians?
1.5 Ļ
What is the function for a straight line?
y = ax + b
You spent 50 USD after a delicious meal in San Francisco. How much was the actual price of the food?
Tax of California: 20%
Tips: 18%
32.8 USD
What is the first name of Gauss?
Carl
Prove that the sum of the angles in a triangle is 180.
Junze's gonna explain
Name all the quadrilateral shapes you know (there are 7 in total).
Parallelogram, Rectangle, Square, Rhombus, Trapezoid, Kite, Dart.
What is the maximum y value for y2 = -x2 + 2x ?
(1,1)
What is the most useful mathmatical calculation in real life?
Addition
Who ORIGINALLY discovered the Pascal's triangle?
The Chinese
Prove that the square of any odd number is always odd.
Junze
Without constrains, can you draw a triangle with a sum of angles of 160 degrees ?
Yes. Non-Euclidean geometry.
What is a depressed cubic equation?
x3+px=q
Where is integration used in real life?
Physics - to find the displacement
Is Einstein a Mathematician?
No - but his work is deeply mathematical
Prove that if a triangle has sides of length a,b,c, then the area is given by
A=0.5absinC
Zihao
An object has 20 faces, 32 edges. How many vertices does this object have?
F + V = E + 2
V = E + 2 - F = 32+2-20 = 14
What is the sum of roots for 4x4 + 3x3 + 2x2 + x = 1 ?
-1/4
Three guests check into a hotel room. The manager says the bill is $30, so each guest pays $10. Later the manager realizes the bill should only have been $25. To rectify this, he gives the bellhop $5 as five one-dollar bills to return to the guests.
On the way to the guests' room to refund the money, the bellhop realizes that he cannot equally divide the five one-dollar bills among the three guests. As the guests are not aware of the total of the revised bill, the bellhop decides to just give each guest $1 back and keep $2 as a tip for himself, and proceeds to do so.
As each guest got $1 back, each guest only paid $9, bringing the total paid to $27. The bellhop kept $2, which when added to the $27, comes to $29. So if the guests originally handed over $30, what happened to the remaining $1?
lol
Who publicly challenged Newton's work in Math?
Gottfried Wilhelm Leibniz - The calculus controversy
Prove sin2(x)+cos2(x) = 1
Pythagorean Theorem
How to you find out the circumscribed circle's radius for a triangle?
1. Sine rule
2. abc/Area
What does eix look like in a complex plane?
A circle with a radius of 1