Math

Question 1

volume of cone

Answer 1

v = 1/3 πr^2h

Question 2

area of cirlce

Answer 2

πr^2

Question 3

circumfrance

Answer 3

2πr

Question 4

area of triangle

Answer 4

1/2bh

Question 5

special right triangle (30, 60, 90)

Answer 5

across from 90 = 2x
across from 30 = x
across from 60 = x√3

Question 6

special right triangle (45, 45, 90)

Answer 6

across from 45 = s
across from 90 = s√2

Question 7

volume of parallelegram

Answer 7

v = lwh

Question 8

volume of cylinder

Answer 8

v = πr^2h

Question 9

volume of sphere

Answer 9

v = 4/3πr^3

Question 10

volume of pyramid

Answer 10

v = 1/3lwh

Question 11

the number of radians of an arc in a circle

Answer 11

2π

Question 12

formula of a line

Answer 12

y = mx + b

(m = slope) (b = where the line crosses y axis)

Question 13

midpoint formula

Answer 13

(x1 + x2/2, y1 + y2/2)

Question 14

distance formula

Answer 14

√(x2-x1)^2 + (y2-y1)^2

Question 15

slope formula

Answer 15

m = y2 - y1/x2-x1

Question 16

formula for a circle

Answer 16

(x-h) +(y-k) = r^2

Question 17

formula of parabola

Answer 17

y = ax^2 + bx + c

Question 18

vertex formula of a parabola

Answer 18

y = a(x-h)^2 + k

Question 19

open up/ down

Answer 19

y = a(x-h)^2 + k

((h, k) is the vertext ) (if a is positive it opens right, if it is negative it opens left)

Question 20

formula for compound interest

Answer 20

a = P(1+r)^t

(a is final amount) (r is the interset rate in decimal form) (t is the number of times the interest is compounded)

Question 21

imaginary number

Answer 21

i^2 = -1 (i = √-1)

Question 22

quadratic/linear # of solutions (intersections

Answer 22

1. make y isolated
2. set equations to equal each other
3. get the term to equal 0
4. use appropiate discriminent
5. solve for constant

b 2 -4(a)(c)>0, two real solutions
b 2 -4(a)(c)=0, one real solutions
b 2 -4(a)(c)<0, zero real solutions (2 imaginary solutions)

Question 23

ALMOST CIRCLE FORMULA/RADIUS

Answer 23

1. Make sure all letters on left, all #’s on right
2. Take ½ the coefficient of the “x” and square it
3. Add #2 to the right side
4. Do same thing with the “y” coefficient
5. Add #4 to right side
6. Add up all #’s right side
7. Take square root of #6 and that’s the radius