Probability
A fair coin is flipped, what are the odds it shows tails?
1/2 or 50% or .5
What's the difference between definitions of shapes and properties of shapes?
Properties are proved from the definition of a shape, not assumptions we start with.
What is necessary for a function to be a quadratic?
Must have an x2 term.
What 2 sides of a right triangle does the trig function cos(x) utilize?
adjacent and hypotenuse
100^(1/2)
10
In a regular 6-sided die, what are the odds of rolling an even number?
3/6 or 1/2
What type of triangles are the most useful when proving properties of quadrilaterals?
Congruent Triangles
Factor the following polynomial.
x2+8x+16
(x+4)(x+4) or (x+4)2
How are tan (x) and arctan(x), also known as tan-1(x), related?
They are inverses of each other, similarly, tangent takes in an angle and outputs a ratio. tan-1(x) intakes a ratio and outputs an angle.
If I have 6 different pairs of shoes, 4 different pairs of pants and 3 different t-shirts, how many different outfits can I make?
72 different outfits
In order to win, you need to roll a sum of 2 or 12. Assuming the pair of dice are fair, what are the odds you win?
2/36 or 1/18
Are the diagonals of a quadrilateral always congruent?
Nope. A kite is an example where the diagonals are not congruent.
How can we find the axis of symmetry or vertex if we know the x-intercepts of a quadratic?
It's in the middle.
In a right triangle with base 4 and height 9, what function would you need to use to find the missing base angle?(base angle is the angle at the bottom)
inverse tan or tan-1
Does SSS prove similarity?
Yes, any congruence theorem also proves similarity.
The odds of a person having the bald gene is 60%. The odds of someone being left handed is 10%. Assuming being left handed and having the bald gene are independent, what are the odds someone is right handed and has the bald gene?
54%
Given the definition of a parallelogram, what could we do to show that opposite sides are congruent?
Using a diagonal, show that the triangles created are congruent and CPCT tells us that the sides must be congruent.
Knowing a quadratic is in standard form (ax2+bx+c=0), how can we use the values of a,b and c to solve for the x-intercepts?
Evaluate the quadratic formula with these values.
If we know the sin and cos of angle x, how can we use this to find the tan(x)?
tan(x)= sin(x)/cos(x), so we can just divide them.
How are the tangent(x) function and slope of a line related?
Answers may vary.