SAT main concepts

studied byStudied by 190 people
5.0(1)
get a hint
hint

Arc length formula

1 / 45

Tags and Description

SAT

46 Terms

1

Arc length formula

2πr x (angle)/360

New cards
2

Sector area formula

πr² x (angle) / 360

New cards
3

Quadratic formula

(-b±√(b²-4ac))/(2a)

New cards
4

Sum of the roots formula

-b / a

New cards
5

Product of roots formula

c / a

New cards
6

Discriminant formula

b² - 4ac

New cards
7

Complementary rules

  • sin(x) = cos(90-x)

  • cos(x) = sin(90-x)

x = degree of angle

New cards
8

Sin(x)

opposite / hypot. (SOH)

New cards
9

Cos(x)

adjacent / hypot (CAH)

New cards
10

Tan(x)

opposite / adjacent (TOA)

New cards
11

probability

Target (center event happening) / total (all possibilities)

New cards
12

total angle

180(n-2)

n = # of sides

New cards
13

20% less than

total x 0.8

New cards
14

20% of

total x 0.2

New cards
15

Lines tangent to a circle:

forms a right angle

New cards
16

Radius

r = C / 2π

New cards
17

tangent line + radius

forms right angle

New cards
18

Equation of a circle

(x - h)² + (y - k)² = r²

h = x cor. of center

k = y cor. of center

New cards
19

what does the discriminant tell us?

the number of roots / solutions

New cards
20

how many roots are there if the discriminant is less than 0?

0

New cards
21

Formula to find the x vertex

-b / 2a

New cards
22

What does the average of two roots tell us?

the x vertex

New cards
23

Vertex form

y = a(x - h) ² + k

(h, k) = x, y corrdinants

New cards
24

In vertex form, what is the (x, y)?

(h, k)

New cards
25

Steps to finding the remainder in synthetic division (equation / equation)

  • find the number that makes the denominator 0

  • plug it into the top numerator

New cards
26

What is 3 ^(2 / 3) in root form?

∛3²

New cards
27

Exponent on exponent

Multiply them

New cards
28

If there are no solutions to the system…

the ratio of coefficient for x & y must be equal

New cards
29

Triangles: direct relationship between…

angle and the opposite side

New cards
30

Bigger the angle…

longer the opposite side

New cards
31

Special right triangles

  • 60, 30, 90

  • 45, 45, 90

New cards
32

Side length rations for a 60, 30, 90 triangle

  • 60: x√3

  • 30: x

  • 90: 2x

New cards
33

Side length ratio for a 45, 45, 90 triangle

  • 45: x

  • 45: x

  • 90: x√2

New cards
34
<p>What is the standard deviation of a bell curve graph</p>

What is the standard deviation of a bell curve graph

low

New cards
35
<p>What is the standard deviation of a skewed graph?</p>

What is the standard deviation of a skewed graph?

Medium

New cards
36
<p>What is the standard deviation for a DT</p>

What is the standard deviation for a DT

high

New cards
37

Finding a side of similar triangles

short / long

New cards
38

Slope formula

m = (y2 - y1) / (x2 - x1)

New cards
39

Slope of a perpendicular line

the negative reciprocal

New cards
40

cycle of i starting at i^1

  • i

  • -1

  • -i

  • 1

New cards
41

i^0

1

New cards
42

i^1

i

New cards
43

-1

New cards
44

-i

New cards
45

i^4

1

New cards
46

slope intercept form

y = mx + b

m: slope

b: y-intercept when x is 0

New cards

Explore top notes

note Note
studied byStudied by 9 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 8 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 10 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 3 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 36 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 9 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 182 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 4 people
Updated ... ago
5.0 Stars(1)

Explore top flashcards

flashcards Flashcard92 terms
studied byStudied by 5 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard23 terms
studied byStudied by 2 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard42 terms
studied byStudied by 6 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard28 terms
studied byStudied by 295 people
Updated ... ago
5.0 Stars(2)
flashcards Flashcard100 terms
studied byStudied by 9 people
Updated ... ago
5.0 Stars(5)
flashcards Flashcard76 terms
studied byStudied by 17 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard153 terms
studied byStudied by 3 people
Updated ... ago
4.0 Stars(1)
flashcards Flashcard256 terms
studied byStudied by 175 people
Updated ... ago
5.0 Stars(3)