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memorize.ai (lvl 286)

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Section 1

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obtuse angle

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Date created

Mar 14, 2020

Cards (32)

Section 1

(32 cards)

obtuse angle

Front

An angle that measures more than 90 degrees but less than 180 degrees

Back

length of an arc of a circle

Front

Length= n/360 x 2πr where n is the angle of the triangle from the two radius lines connected at the circle midpoint

Back

acute angle

Front

an angle that measures less than 90 degrees

Back

Pythagorean Theorem for right triangles

Front

a²+b²=c² used to find triangle sides

Back

Volume of a rectangle

Front

L x W x H

Back

Negative Exponent Rule

Front

x ⁻ⁿ = 1/xⁿ

Back

range

Front

lowest number - highest number

Back

square root

Front

(sqrt(4))^2 = 4 and sqrt(4^2) = 2

Back

slope formula

Front

(y₂- y₁) / (x₂- x₁)

Back

Quadratic Formula

Front

where in a equation a,b and c are: ax^2+bx+c

Back

Triangle formulas area and angles

Front

Area = (1/2) base height interior Angles: a angle + b angle + c angle = 180 degrees

Back

Circle Circumference Formula (Umfang)

Front

C = 2πr

Back

mean

Front

average: (sum of n number) / n

Back

Trapezoid Area Formula

Front

A= (1/2)(h)(b1+b2)

Back

Rectangle area formula

Front

A=bh

Back

triangle circumference

Front

Circumference=a+b+c

Back

Square area formula

Front

A = s^2 where s is the length side

Back

Interest rate formula

Front

r = n[(A/P)^(1/nt) -1] t= years n = time invested within a year, i.e. 6 months -> nt = 1/2 where V = investment value where P = investment principle $$ where r = rate or % ; 6% = 0.06 where t = time

Back

Median

Front

Middle number. if number set are uneven take two middle number and divide by 2

Back

Distance between two points

Front

d = √((x₁-x₂)² + (y₁-y₂)²)

Back

Rules of Exponents x^m + x^n = x^m * y^m = (x^m)^n = x^0 = x^-m = (x^m)/(x^n) = (x^m)/(y^m) =

Front

x^m + x^n = x^(m+n) ||same base x^m * y^m = (xy)^m ||same exponent (x^m)^n = x^nm x^0 = 1 x^-m = 1/x^m (x^m)/(x^n) = x^(m-n) (x^m)/(y^m) = (x/y)^m

Back

calculate principle

Front

P = V/(1+r/n)^(nt)) used to find starting figure t= years n = time invested within a year, i.e. 6 months -> nt = 1/2 where V = investment value where P = investment principle $$ where r = rate or % ; 6% = 0.06 where t = time

Back

congruent triangles

Front

2 triangles are congruent if and only if all pairs of corresponding sides and angles are congruent

Back

polygon

Front

a flat shape with many straight sides: triangles can be found by n-2; to find interior angels: ((n-2)(180))/n. n= sides of polygon

Back

Mode

Front

The value that occurs most frequently in a given data set. if all numbers are equally occurring the mode does not exist

Back

Interest Formula

Front

V = P(1+(rt/100)) V = P(1+(r/100))^(t) ||annual investment V = P(1+(r/100))^(nt) ||investment within a year formula 2 and 3 are optional, only use if time is given t= years n = time invested within a year, i.e. 6 months -> nt = 1/2 where V = investment value where P = investment where r = rate or % ; 6% = 0.06 where t = time

Back

Surface area solid rectangular

Front

A = 2(lw+lh+wh)

Back

Quartiles

Front

divide data set into 2 to find median: my take two middle data and add and divide by 2 than repeat for the left and right data set find remaining 3 quartiles.

Back

Area of a circle formula

Front

A = π * r²

Back

Dispersion

Front

quartile 3 - Quartile 1

Back

Front

Back

Absolute number

Front

the distance of a number from zero on a number line. Always positive: |5|+|-2| = 5 + 2 = 7

Back