Math Flashcards

(51 cards)

1
Q

What is an acute angle

A

lesss than 90 degrees

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2
Q

what is a right angle

A

90 degrees

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3
Q

what is an obtuse angle

A

more than 90 degrees

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4
Q

what is a straight angle

A

180 degrees

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5
Q

what is a supplementary angle

A

a + b = 180 degrees

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6
Q

what is a complementary angle

A

x + y = 90 degrees

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7
Q

What is a bisected angle

A

2g = h degrees

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8
Q

what is the formula for circumference of a circle

A

2pier or pie*d

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9
Q

what is the formula for area of a circle

A

pie*r^2

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10
Q

what is the formula for arc length of a of an arc

A

xdegrees/360(2pier)

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11
Q

what is the formula for sector perimeter of a arc

A

2r+x/360(2pier)

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12
Q

what is the formula for sector area of a arc

A

x/360(pie*r^2)

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13
Q

what does tangent mean

A

perpendicular to something

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14
Q

what is the formula for an arithmetic sequence

A

an=a1+d(common difference) *(n-1)

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15
Q

how do you find the nth term of a geometric sequence

A

dividing any term by the term before it gets you the ration

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16
Q

How do you find the nth term of a repeating sequence

A

Figure out how many numbers it repeats for

Find the remainder of the number you’re trying to find/ the number of how long it repeats for

find the term that corresponds to the remainder

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17
Q

volume of a rectangle

A

lwh

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18
Q

surface area of a rectangle

A

2lh+2lw+2*hw

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19
Q

Volume of a cylinder

A

pier^2h

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20
Q

How do you, generally, find the surface area of a 3d shape

A

sum of areas of all the faces

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21
Q

volume of a circular cone

A

1/3pieh*r^2How

22
Q

how do you find a diagonal of a 3d shape

A

USE THE PYTHAGOREAN THEOREM. map it out in your head.

23
Q

How do I find the numbers for a ration given like 2:3

A

2/3 = x/given # and cross multiply.

24
Q

what is the rule for a triangle

A

the two sides, x and y, the third side must be less than x+y but greater than x-y

25
what is the difference of cubes
(a-b)(a^2+ab+b^2)
26
solve this log3 1/81 = what steps do you take
what power do you raise 3 to get 1/81 -4
27
How do you multiply a matrice
to get the top left number of the resultant matrice you would multiply the each number of the first row by each number of the first column and adding those numbers together
28
what are the restrictives for wether or not you can multioply a matricy and what does the dimension of when you do multiply
You can only multiply. matrice with dimensions that have the same inner number. 2x3 and 3x4 the resulting matrice is a 2x4, the outer dimensions
29
how do you find the determinant of a matrice
ad - bc
30
How do you find the expected value of an event / y
value of event * probability of event occuring and adding all of those together depending on how many events you have
31
when do you choose a combination combinatoric
chosen when the role order doesn't matter 2 vs 1 and 1 vs 2 are the same thing
32
when do you choose a permutation combinatoric
chosen when the role order does matter. 2 vs 1 and 1 vs 2 are different values
33
what is the mean and how do you calculate it
the average the sum divided by the number of values you have
34
how do you calculate the median and what is it
the middle number ordered in least to greatest
35
how do you calculate the mode and what is it
it is the number that occurs most frequently. you can sometimes have no mode if there are the same numver of frequencies
36
how do you calculate the weighted average
multiply the average by its weight all added together to get the total average.
37
what is an isosceles triangle
Two sides are equal therefore two angles are also equal
38
How can I re-write log4 x = 3 to solve for x?
4^3 = x
39
what does the equation of a circle equal?
the squared number of the radius
40
what is the man hours equation and what does it tell you
number of people * number of time = the man hours it takes. For example if we had 3 workers complete a house in 10 months, how long would it take for 5 people? we multiply 3 by 10 = 30 and then multiply that by 1/5 to get the amount of time it will take for 5 people to build the same house
41
what is standard deviation
a measurement of how far accumulative data points are away from the mean data points closest to the mean have a smaller standard deviation (2,2,3,3,4,4) while data points farther from the mean have a larger standard deviation (1,2,3,4,5)
42
If there is a perimiter, say 28, and the question asks you how to find the largest area, how do you do that, using formula based?
2l + 2w = 28 and solving for length, l = 14-w A = lw so we can subsitute l in A = 14-w*w then we can find the vertex of the parabola, the middle x point, which gives us w so 7! that means the optimal area is 49
43
What is the formula to type for permutation and combinations
NPr N= total objects R=number of objects chosen at once
44
To find the interior angle sum of a polygon, we can use a formula
(n - 2) x 180 n meaning number of sides
45
from degrees to radians
degrees * by 180 over pie
46
from radians to degrees
radians times 180/pie
47
how do I know if it's whom or who
whom = him who = he
48
what is the law of cosines
C squared equals a squared plus b squared minus 2 ab cos gamma
49
what is the law of sins
sine alpa divided by A equals sin beta divided by b equals sin gamma divided by c
50
How can I solve for averages
An=s(total sum)
51
How do i add vectors
place each reactant on top of one end and connect the new shape