Simplify the following expression:
1/2-1/3+1/4-1/5+1/6
30/60-20/60+15/60-12/60+10/60=23/60
What is the quadratic formula?
x=(-b+-sqrt(b^2-4ac))/(2a)
Name 4 different types of quadrilaterals.
Rhombus, Rectangle, Square, Parallelogram
What are the lengths of a 30-60-90 triangle? (hint: Start with an equilateral triangle of length 2)
What about a 45-45-90 triangle? (hint- start with a cube of length 1)
30-60-90: 1, sqrt3, 2
45-45-90: 1, 1, sqrt2
Whats the Probability of drawing a heart -out of a complete deck of cards?
13/52=>1/4
What is Riordans mascot?
Bonus: What was the OLD mascot?
The Crusader
Big Purple
Simplify:
7+7div7+7*7-7
50
Given a right triangle, if the 2 legs are 5 and 12, what is the length of the hypotenuse?
Since its a right triangle, we can use pythagorean theorem
5^2+12^2=c^2=>169=c^2=>c=13
How many degrees are in a nonagon(9 sided figure)
There are 7 triangles in a nonagon. So 7*180=1260 .
Whats the height of the tree?
tan(49)=h/76=>h=76tan(49)=>87.4 ft
Whats the probability of drawing a heart and a club in one draw out of a complete deck of cards?
They cannot be drawn simultaneously, so these events are mutually exclusive, so they cant happen together.
0/52=0
What year did Riordan open?
1949
4x-5y=20
What are the x and y intercepts of the given equation?
Bonus, Draw the graph
X-Int: (5,0)
Y- int: (0,-4)
Factor the following function: f(x)=3x^2+11x+10
f(x)=(3x+5)(x+2)
What are the 3 rigid transformations? Whats the most common non-rigid transformation?
Rigid: Translation, Reflection, Rotation
Non-Rigid: Dilation
What is the fundamental theorem of algebra?
Every polynomial equation of degree 'n' with complex number coefficients has n roots, or solutions, in the complex numbers
Whats the probability of drawing a king and a heart out of entire deck of cards?
P(K and H)
1/52
When did Riordan go Co-ed?
2020
Simplify the expression: (2^4xy^3)/(8x^2y^2x^-1z^-2)
2yz^2
Complete the square:
f(x)=2x^2+7x+6
0=2x^2+7x+6=>x^2+(7/2)x+3=0
x^2+7/2x=-3=>x^2+7/2x+(7/4)^2=-3+(7/4)^2
y=(x+7/4)^2-1/16
Find
mangleJKL
mangleJKL=31
Simplify: (2x^3+10x+35)/(x-3)
2x^2+10x+35+104/(x-3)
Whats the probability of drawing a heart or a 2?
P(H)+P(2)-P(Hand 2)=13/52+4/52-1/52=16/52=4/13
Who was Archbishop Riordan named for?
The first Archbishop of San Francisco
What are the roots (x-intercepts) of the following function:
f(x)=x^2+6x+8
Bonus: Draw a picture of the graph!
f(x)=(x+2)(x+4)
Graph z(x)=x^{3}+1x^{2}-2x .
Explain the end behavior and identify the intercepts.
A circle has a radius of 6 feet. If we wanted to color a 45 degree section for the circle, how many sqft of paint would we need?
Area=theta/360*pir^2
Area=45/360*pi(6^2)=>(1/8)*36pi ft^2=(9pi)/2ft^2
Find the error:
a=b
ab=b^2
ab-a^2=b^2-a^2
a(b-a)=(b+a)(b-a)
a=b+a
a=2a
Cant divide by zero. b-a is zero.
Whats the probability of a heart given its a 2?
P(H|2)=1/4
What are the names of the 4 houses?
Cana, Bolts, Russi and Pilar