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Math Definitions 20

Math Definitions of math 20 pure

math midterm answers 20 puremath midterm questions 20 pure
what is parrallel mean? side by side in the same direction
Sue took a walk with three friends. They met two friends at the park. At 3:00 four more friends arived. How many friends are at the park all together? 10
an equilateral triangle has how many sides? 3
a square has how many sides? 4
a pentagon has how many sides? 5
a hexagon has how many sides? 6
Number of non-overlapping triangles for an equalateral triange? 1
Number of non-overlapping triangles for a sqaure? 2
Number of non-overlapping triangles for a pentagon 3
Number of non-overlapping triangles for a hexagon? 4
Congruence The relationship between two objects that have exactly the same size and shape.
Direct measurement A process of obtaining the measurement of some entity by reading a measuring tool, such as a ruler for length, a scale for weight, or a protractor for angle size.
Dispersion The scattering of the values of a frequency distribution (of data) from an average.
Expanded notation Showing place value by multiplying each digit in a number by the appropriate power of 10. For example, 523 = 5 x 100 + 2 x 10 + 3 x 1 or 5 x 102 + 2 x 101 + 3 x 100.
Function A relationship between two sets of numbers or other mathematical objects where each member of the first set is paired with only one member of the second set. Functions can be used to understand how one quantity varies in relation to (is a function of) cha
Identity For addition: The number 0; that is N + 0 = N for any number N. For multiplication: The number 1; that is, N x 1 = N for any number N.
Line of best fit. A straight line used as a best approximation of a summary of all the points in a scatter-plot* (See definition below). The position and slope of the line are determined by the amount of correlation* (See definition above) between the two paired variables
Linear equation. An equation of the form y = ax + b, where a and b can be any real number. When the ordered pairs (x, y) that make the equation true for specific assigned values of a and b are graphed, the result is a straight line.
Mean The arithmetic average of a set of numerical data.
Median The middle value of an ordered set of numerical data. For example, the median value of the set {5, 8, 9, 10, 11, 11,13} is 10.
Whole numbers The numbers: 0, 1, 2, 3, 4, 5, ...
Variable A quantity that may assume any one of a set of values. Usually represented in algebraic notation by the use of a letter. In the equation
Unit fraction. A fraction with a numerator of 1, such as 1/4 or 1/7.
Tree diagram A schematic way of showing the number of ways a compound event may occur. For example, the tree diagram at the right shows the eight possible ways the tossing of three coins could happen.
Symmetry A figure has symmetry if it has parts that correspond with each other in terms of size, form, and arrangement. For example, a figure with line (or mirror) symmetry has two halves which match each other perfectly if the figure is folded along its line of s
Slope A measure of the steepness or incline of a straight line drawn on a rectangular-coordinate-system graph. The measure is obtained by the quotient “rise/run” (vertical change divided by horizontal change) between any two points on that line.
Similarity The relationship between two objects that have exactly the same shape but not necessarily the same size.
Real numbers All the numbers which can be expressed as decimals.
Pythagorean theorem (relationship). In a right triangle, c2 = a2 + b2 , where c represents the length of the hypotenuse (the longest side of the triangle which is opposite the right (angle), and a and b represent the lengths of the other two, shorter sides of the triangle.
Permutations Possible arrangements of a set of objects in which the order of the arrangement makes a difference. For example, determining all the different ways five books can be arranged in order on a shelf.
Absolute value The absolute value of a number is the positive value of that number. For a positive number, it is just the number. For a negative number it is it's positive value. So, the absolute value of 5 is 5, and the absolute value of -5 is 5 also. Absolute value is
Right triangle A right triangle is a triangle that has one 90 degree angle: A 90 degree angle is called a right angle.
Sphere A sphere is a round ball, like a basketball or a baseball or a planet: It is a solid figure where all points on it's surface are the same distance from the center of the figure.
Trapezoid A trapezoid is a quadrilateral with at least 2 opposite sides parallel
Congruent Two figures are congruent if they are the same size and shape. They can be mirror images of each other, or turned in any direction relative to each other.
Diameter The diameter of a circle is the distance across the circle, through it's center. It is the circle's width and is usually represented by the letter d. It is twice the circle's
Exponent An exponent is a small number written with another big number that tells how many times to multiply the big number by itself.
Perimeter The perimeter of a figure is the total distance around the edge of the figure. For example, a square whose sides are 6 inches long has a perimeter of 6 x 4 = 24 inches because it has 4 sides 6 inches long.
Odds Odds are a way of expressing a probability as the ratio of the number of things that you are not looking for to the number of things that you are looking for. So the odds against flipping a coin and it coming up heads are 1:1 = 1(even odds), because there
Hypotenuse The hypotenuse of a right triangle is the longest side of the right triangle.
Factor To factor a number means to break it up into numbers that can be multiplied together to get the original number.
Concentric Concentric means having the same center.
Denominator The denominator is the bottom part of a fraction. For example, in the fraction 3/4, the denominator is 4.
Cylinder A cylinder is a solid with circular ends and straight sides. A pipe is a cylinder. The formula for the volume of a cylinder is: V = L R2
Plane A plane is a flat surface, like a piece of paper or a table top.
Sine Law sin A/a = sin B/b = sin C / c
Octagon An octagon is an 8-sided figure
Area Area is length X width to determine the amount of space in an object.
Simple Interest the principal at the beginning of the second year is the same as the principal at the beginning of the first year.
Compound Interest the interest earned during the first year is added to the origonal principal and thereafter earns additional interest
Diagonal A straight line connecting two corners (or vertices) of a polygon that are not next to each other.
Inequality An inequality is like an equation that uses symbols for "less than"(<) and "greater than"(>) where an equation uses a symbol for "is equal to" (=).
Inscribed figure An inscribed figure is one that is drawn inside another, usually with the edges touching. For example if you drew a triangle inside a square, the triangle is inscribed in the square.
Vertex vertex of a figure is a corner. The plural of vertex is vertices.
What is the formula for compound interest? A=P(1+I)n
debenture a certificate entitling its owner to recieve both the interest and the principal after a specified time.
What is the TVM solver? Time value management application.
Discount A discount is a percentage that is subtracted from a number. For example, a 10% discount of $30 is $3 (10% converted to a decimal is .10 and .10 x 30 is 3). So an item that sells for $30 and is being offered at a 10% discount can be bought for $27. ($30 -
Palindrome A palindrome is a number that reads the same from left to right and from right to left. 101 is the smallest 3-digit palindrome. 123454321 is a palindrome.
Geometric Sequence A geometric sequence is one in which the same number is multiplied or divided by each element to get the next element in the sequence. 2, 4, 8, 16, ... is a geometric sequence.
Ratio The ratio of 2 numbers is the first number divided by the second number. For example, the ratio of 8 to 4 is 2.
Parallelepiped A parallelepiped is a solid (3-dimensional) figure in which all faces are parallelograms
Obtuse angle An obtuse angle is an angle greater than 90 degrees
Acute angle An angle with less than 90 degrees
Gross Income the amount of money earned through employment before deductions
Net income the amount of money after deductions
Salary the amount of money earned through employment before deductions
Hourly Pay Money earned for a fixed number of hours per week and will recieve overtime
Commission this is earnings based on a percent of an eployees sales dureing the pay period
Gratuities the money earned from tips and may be in addition to an hourly rate of pay
One dimensional motion By one dimension we mean that the body is moving only in one plane and in a straight line.
What is Newton's seccond law of motion? The acceleration of a body is directly proportional to the net unbalanced force and inversely proportional to the body's mass, a relationship is established between Force (F), Mass (m) and acceleration (a).
Momentum Momentum (p) is the quantity of motion in a body. A heavy body moving at a fast velocity is difficult to stop. A light body at a slow speed, on the other hand can be stopped easily. So momentum has to do with both mass and velocity.
Impulse This is the change in the momentum of a body caused over a very short time. Let m be the mass and v and u the final and initial velocities of a body.
What is the formula for Power? P = W/t
What is Keplers first Law? The orbit of each planet is an ellipse which has the Sun at one of its foci.
What is Keplers second Law? Each planet moves in such a way that the (imaginary) line joining it to the Sun sweeps out equal areas in equal times.
What is Keplers third Law? The squares of the periods of revolution of the planets about the Sun are proportional to the cubes of their mean distances from it
Density The mass of a substance contained in unit volume is its density (D).
Pressure Pressure (P) is Force (F) per unit area (A)
Electricity According to Ohm's Law electric potential difference(V) is directly proportional to the product of the current(I) times the resistance(R).
V = I R The relationship between power (P) and current and voltage is
P = I V Using the equations above we can also write
distortion An aberration of a lens or lens system whereby a square object is imaged with either concave (pincusion distortion) or convex (barrel distortion) lines
Absolute magnitude A classification scheme, which compensates for the distance, differences to stars. It calculates the brightness that stars would appear to have if they were all at a defined, standard distance of 10 parsec
Absolute scale Temperature scale set so that zero is at the theoretical lowest temperature possible. This would occur when all random motion of molecules has ceased
Absolute zero The theoretical lowest temperature possible, which occurs when all random motion of molecules has ceased
Acceleration due to gravity The acceleration produced in a body due to the earth's attraction is called acceleration due to gravity. It is denoted by the letter g. Its SI unit is m/s². On the surface of the earth, its average value is 9.8m/s². The value of g on the surface of the ea
Acceleration The rate of change of velocity of a moving object is called its acceleration. The SI units of acceleration are m / s². By definition, this change in velocity can result from a change in speed, a change in direction, or a combination of changes in speed an
Adiabatic cooling The decrease in temperature of an expanding gas that involves no additional heat flowing out of the gas. It is the cooling from the energy lost by
Air mass A large, more or less uniform body of air with nearly the same temperature and moisture conditions throughout
Amp Unit of electric current. It is equivalent to coulomb/sec.
Ampere Full name of the unit Amp
Amplitude (of waves) The maximum displacement of particles of the medium from their mean positions during the propagation of a wave is called the amplitude of the wave.
Angle of incidence Angle of an incident (arriving) ray or particle to a surface; measured from a line perpendicular to the surface (the normal)
Angle of reflection Angle of a reflected ray or particle from a surface; measured from a line perpendicular to the surface (the normal)
Angular Acceleration The rate of change of angular velocity of a body moving along a circular path is called its angular acceleration. Angular acceleration is denoted by a.
Angular Displacement The angle described at the center of the circle by a moving body along a circular path is called angular displacement. It is measured in radians.
Angular Velocity The rate of change of angular displacement is called angular velocity.
Atom The smallest unit of an element that can exist alone or in combination with other elements
Created by: Elliterate
 

 



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