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# The recipe says she needs 480 grams of pasta for 4 people. How many grams will she need for 14?
## Question:
The recipe says she needs 480 grams of pasta for 4 people.
How many grams will she need for 14?
## Proportions and Variation:
In any numerical ratio, this denotes a relationship between two numbers {eq}x ... |
Examples of Polynomials, Sets and Set Notation
Polynomials are expressions that are usually a sum of terms. Terms that can contain constants, and variables with a non negative power.
Polynomials can be linear, quadratic, cubic, etc. Depending on their degree, that is the highest power in the equation.
A polynomial e... |
How do we calculate perimeter of a triangle?
How do we calculate perimeter of a triangle?
To calculate the perimeter of a triangle, add the length of its sides. For example, if a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c.
What is the perimeter of △ hij?
The perimeter ... |
## 1. Overview
In this tutorial, we’ll talk about the problem of finding the number of distinct subsequences of a string.
First, we’ll define the problem and provide an example to explain it. Then, we’ll present two different approaches to solving this problem and work through their implementations and space and time... |
# Domain (D) and range (R ) of f(x)=sin−1(cos−1[x]) where [ ] denotes the greatest integer function is
A
D[1,2),R{0}
B
D[0,1),R{1,0,1}
C
D[1,1),R{0,π2,π}
D
D[1,1],R{π2,0,π2}
Video Solution
Text Solution
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## To find the domain (D) and range (R) of the function f(x)=sin−1(cos−1(⌊x⌋)), wh... |
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You are reading an older version of this FlexBook® textbook: CK-12 Algebra I Go to the latest version.
# 12.6: Addition and Subtraction of Rational Expressions
Difficulty Level: At Grade... |
# Time and Work problems with solutions
Time and Work is an important chapter for quantitative aptitude. Before solving questions below read my previous post on Time and Work concepts
I also made a video to teach basic concepts of this chapter. Questions in this chapter can be solved by two methods, first by fraction... |
# Deriving diameter from given parallel chord
I'm trying to design a toddler bed (crescent moon). I should be fine once I get some basic measurements but math is proving to be a weak spot for me.
If I have circle, and there is a chord (which is parallel to a diameter ((perfectly horizontal))) that is 4' long, how lon... |
## Color II: Opacity and Josef Albers
Remember from last week we were discussing the following image:
What colors are the squares? Recall that when we allowed one or both squares to be transparent to some degree, there were many possible answers to this question. Last week, we found out all possible color/opacity c... |
### Become an OU student
Succeed with maths: part 2
Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available.
# 2.1 Understanding the number trick
One way to understand how the previous number trick works is to ... |
# What is the Lowest Common Multiple (LCM) of two numbers that don't have any common factors?
Jan 25, 2018
It is the product of the two numbers.
#### Explanation:
The way to find the LCM is to write out both factorizations of the numbers, and then combine any factors that the two numbers share.
So, if two numbers ... |
# Koch Snowflake Example
Previous: A Geometric Series Problem with Shifting Indicies
Next: Videos on the Introduction to Infinite Series
## Problem
Suppose we would like to calculate the area of the "Koch Snowflake". The Koch Snowflake is an object that can be created from the union of infinitely many equilateral t... |
# How do you solve sqrt(10–x)+x=8?
Mar 5, 2016
$x = 9 , 6$
#### Explanation:
$\sqrt{10 - x} + x = 8$
$\rightarrow \sqrt{10 - x} = 8 - x$
Square both sides in order to get rid of the radical sign
$\rightarrow {\left(\sqrt{10 - x}\right)}^{2} = {\left(8 - x\right)}^{2}$
Use the formula ${\left(a - b\right)}^{2} =... |
# 2.2 Descriptive statistics: histogram (Page 2/4)
Page 2 / 4
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The smallest data value is 60. Since the da... |
## Probability Worksheet Solution11
In this page probability worksheet solution11 we are going to see solution of some practice questions of the probability worksheet.
Question 8
A basket contain 20 apples and 10 oranges out of which 5 apples and 3 oranges are rotten. If a person takes out one fruit at random, find ... |
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## Back to Tutorial
*similar to problem 3 from section 1.3 of your text
1.
In a universal set U, assume that n(U) = 100, n(A') = 42, n(B) = 55, and n(A ∪ B) = 94. Find n(A ∩ B).
Hide Response
Show Response
Many problems in finite will require you to draw on your knowledge of the relationships between... |
# How do you find the domain and range of y=3x^2+2x+1?
May 1, 2017
Since this is a quadratic equation, the domain is ] $- \infty , \infty$ [
#### Explanation:
For the range, one possible method is to express the equation in vertex form, which gives the coordinates of the minimum point. The y-coordinate of the minim... |
39 Symmetry of Plane Figures
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1 39 Symmetry of Plane Figures In this section, we are interested in the symmetric properties of plane figures. By a symmetry of a plane figure we mean a motion of the plane that moves the figure so that it falls back on itself. The two types... |
1.
Ram and Shyam together can finish a job in 8 days. Ram can do the same job on his own in 12 days. How long will Shyam take to do the job by himself?
A. 16 days B. 20 days C. 24 days D. 30 days
Explanation: If A and B together can do a piece of work in x days and A alone can do the same work in y days, then B alon... |
# 2.2 Space and shape
Page 1 / 3
## Space and shape
Activity 1:
To understand the structure of some regular right prisms
[LO 3.3, 3.4]
A. Building cont a iners
You will be given a sheet of shapes. You will need a ruler that you can measure with, a pair of scissors and glue or sticky tape. Colouring pens will al... |
# 2.9 Introduction to Finite Elements
## 2.9.3 1-D Linear Elements and the Nodal Basis
The finite element method typically uses polynomial functions inside each element. Furthermore, the approximation is usually required to be continuous from element to element. The simplest element which permits continuous functions... |
# Maharashtra Board 9th Class Maths Part 1 Practice Set 3.4 Solutions Chapter 3 Polynomials
Balbharti Maharashtra State Board Class 9 Maths Solutions covers the Practice Set 3.4 Algebra 9th Class Maths Part 1 Answers Solutions Chapter 3 Polynomials.
## Practice Set 3.4 Algebra 9th Std Maths Part 1 Answers Chapter 3 P... |
## Cosine Rule
Note – The Cosine Rule is considered a higher topic on most exam boards.
Another trigonometric formula for any type of triangle is the Cosine Rule:
$c^2 = a^2 + b^2 - 2ab\cos{C}$
or alternatively
$a^2 = b^2 + c^2 - 2bc\cos{A}$
or
$b^2 = a^2 + c^2 - 2ac\cos{B}$
Where the uppercase letters correspo... |
Home | | Maths 5th Std | Place value chart
# Place value chart
Let us learn to use Abacus
Place value and comparison of numbers
Place value chart
Fill the correct numbers in the following table.
Let us learn to use Abacus
Example: 1
The abacus shows the number: 7,341.
Number name: Seven thousand three hundred ... |
### Highest Common Factor (HCF)
Factor: Numbers which are multiplied together to get another number is called factors of that number. e.g. 3 and 4 are factors of 12, because 3 × 4 = 12. A number can have many factors.
Common factors: Factors that are common to two or more numbers are called common factors.
Highest C... |
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# GMAT Probability Questions
Here is a set of 14 GMAT probability questions, all in the Problem Solving style on the test, collected from a series of blog articles. Answers and links to explanations to these these GMAT probability problems a... |
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# For a parabola; the equation of the directrix is: x + y = 4 and the coordinates of focus F: (6,6). Find(a) Vertex(b) Axis of parabola
Last updated date: 16th Jul 2024
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Hint: Here, from... |
# How Do You Write 19 As A Decimal
How Do You Write 19 As A Decimal. How do you write a decimal number in word form? To write a decimal in word form, follow these steps: Let’s try it with 2. 37. How do you write 20 8 tenths and 19 hundredths as a decimal?
## Fraction to Decimal (Easy How-To w/ 19+ Examples!)
If yo... |
# Difference between revisions of "Limit"
Jump to: navigation, search
A limit is the behavior of a function as its inputs approach arbitrarily close to a given value.
Limits are written in the following form:
$\lim_{x \to a}f(x) = L$
The expression above states that when $x\,$ approaches arbitrarily close to $a\,$... |
# What Is 1/88 as a Decimal + Solution With Free Steps
The fraction 1/88 as a decimal is equal to 0.011.
The division of a number p by another number q produces either an integer or decimal result. Fractions are numerals of the form p/q, and they are simply another way of showing division. Therefore, we can evaluate ... |
# Class 12 RD Sharma Solutions – Chapter 29 The Plane – Exercise 29.14
Last Updated : 11 Feb, 2021
### Question 1. Find the shortest distance between the lines and .
Solution:
Let us consider
According to the equations line P1 passes through the point P(2, 5, 0)
And the equation of a plane containing line P2 is
... |
# Using Euclid's division algorithm, find the H.C.F. of 135 and 225 - Mathematics
Using Euclid's division algorithm, find the H.C.F. of 135 and 225
#### Solution 1
Starting with the larger number i.e., 225, we get
225 = 135 x 1 + 90
Now taking divisor 135 and remainder 90, we get
135 = 90 x 1 + 45
Further taking... |
# Proportionality (mathematics): Wikis
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Note: Many of our articles have direct quotes from sources you can cite, within the Wikipedia article! This article doesn't yet, but we're working on it! See more info or our list of citable articles.
# Encyclopedia
### From Wikipedia, the free encyclopedia
y i... |
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Parallelograms
Quadrilateral with two pairs of parallel sides.
Estimated6 minsto complete
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Practice Parallelograms
Progress
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Parallelograms
What i... |
# If A and B are two sets such than
Question:
If A and B are two sets such than n(A) = 54, n(B) = 39 and n(B – A) = 13 then find n(A ∪ B).
Hint $n(B)=n(B-A)+n(A \cap B) \Rightarrow n(A \cap B)=(39-13)=26$
Solution:
Given: n(A) = 54, n(B) = 39, n(B – A) = 13
Using the hint
$n(B)=n(B-A)+n(A \cap B)$
$\Rightarrow ... |
# Exponent and Power : Mathematics
### Exponent and Power : Mathematics NCERT / CBSE Notes
• An exponent or power is a mathematical representation that indicates the number of times that a number is multiplied by itself.
• If a number is multiplied by itself m times, then it can be written as: a x a x a x a x a...m t... |
# Eigenvalues and Eigenvectors
Given a vector (see Vector Spaces, Modules, and Linear Algebra), we have seen that one of the things we can do to it is to “scale” it (in fact, it is one of the defining properties of a vector). We can also use a matrix (see Matrices) to scale vectors. Consider, for example, the matrix
... |
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Exponential Growth and Decay: Relative Growth Rate
# Exponential Growth and Decay: Relative Growth Rate
In the prior section, Exponential Growth and Decay: Introduction, we learned that most people use the function $\,P(t) = P_{0}\,{\text{e}}^{rt}\,$ to model exponential growth or decay, where:
• $P(t) = \text{the... |
# What is the equation of the tangent line of f(x) =sqrt(x+15)-x/(x-15) at x=5?
Apr 15, 2018
$20 y - \left(3 + \sqrt{5}\right) x + 5 - 35 \sqrt{5} = 0$
#### Explanation:
$y = \sqrt{x + 15} - \frac{x}{x - 15}$
Substitute for $x$ value to get the coordinates of the point which lies on the tangent
$y = \frac{1 + 4 \... |
# Order of operations with decimals (4ops and brackets)
Lesson
In the chapter, How to 'Operate' in Maths, we discussed the order in which problems with more than one operation should be solved. The same order applies whether we are looking at questions with whole numbers, decimals or a combination of both.
Just to r... |
Solve for x
Steps Using Factoring
Steps Using Factoring By Grouping
Steps for Completing the Square
Graph
Graph Both Sides in 2D
Graph in 2D
Still have questions?
x^{2}+x-20=0
Subtract 20 from both sides.
a+b=1 ab=-20
To solve the equation, factor x^{2}+x-20 using formula x^{2}+\left(a+b\right)x+ab=\left(x+a\right)\le... |
Limits of Vector-Valued Functions Examples 1
# Limits of Vector-Valued Functions Examples 1
Let $\vec{r}(t)$ be a vector-valued function. Recall that we can compute limit at $t \to a$ of vector-valued functions by taking the limits as $t \to a$ of each of the components respectively. We will now look at some examples... |
# Transforming Factoring Into A Division Problem Video
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### You're on a roll. Keep up the good work!
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# [Maths Class Notes] on Continuity Pdf for Exam
We all have heard the word “ continuity” while talking to someone or while reading something. But what if someone asks us the question, what is continuity in maths? The word Continuity comes from “continuous”. It means something that is endless or unbroken or uninterrup... |
# Mathnasium #MathTricks: Probability (Part 3)
By Mathnasium | Added Apr 26, 2023
Welcome to Mathnasium’s Math Tricks series. Today we are calculating the conditional probability of one event occurring, given that another has already occurred.
Two events are considered dependent if the occurrence of one event affect... |
1. ## a pyramid
Consider a pyramid with a square base. The side length of the
base is 2 units and the height of the pyramid is 1 unit. Imagine
placing a cube inside this pyramid (resting on the base of the
pyramid) such that each of the four top corners of the cube is
touching each of the 4 slanted edges of the pyrami... |
# SURDS
CONTENT
1. Meaning of rational and irrational numbers leading to the definition of surds.
2. The rules guiding the basic operation with surd i.e $$\sqrt{a} + \sqrt{b} ≠ \sqrt{a + b}$$; $$\sqrt{a} -\sqrt{b} ≠ \sqrt{a -b}$$; $$\sqrt{a} × \sqrt{b} = \sqrt{a × b}$$; $$\sqrt{a} ÷ \sqrt{b} = \sqrt{\frac{a}{b}}$$
3.... |
# How do you graph f(x) = -(x-2)(x + 5)?
Jul 28, 2015
By finding the extremum and the two $x$-intercepts. And plotting them.
#### Explanation:
This is a Parabola. And one way to graph Parabolas is to find three strategic points:
$\textcolor{red}{\left(1\right)}$ The extremum :
And the extremum occurs when the slop... |
# What Is 5/46 as a Decimal + Solution With Free Steps
The fraction 5/46 as a decimal is equal to 0.108.
For the conversion of fractions into decimals, usually, the Long Division method is used. In this method, large numbers are broken into manageable steps, which makes complex and difficult division much easy. Thi... |
# Page Design
Printable View
• Nov 4th 2008, 06:30 AM
magentarita
Page Design
A page with dimensions of (17/2) inches by 11 inches has a border of uniform width x surrounding the printed matter of the page.
(a) Write a formula for the area A of the printed part of the page as a function of the width x of the border.... |
# How do you factor 64 - c^12?
Dec 15, 2015
Use some special identities to find:
$64 - {c}^{12} = \left(\sqrt{2} - c\right) \left(\sqrt{2} + c\right) \left(2 + {c}^{2}\right) \left(2 + \sqrt{2} c + {c}^{2}\right) \left(2 - \sqrt{2} c + {c}^{2}\right) \left(2 + \sqrt{6} c + {c}^{2}\right) \left(2 - \sqrt{6} c + {c}^{... |
# Probability Aptitude Important Formulas, Definitions, & Examples:
#### Overview:
Topic Included: Formulas, Definitions & Exmaples. Main Topic: Quantitative Aptitude. Quantitative Aptitude Sub-topic: Probability Aptitude Notes & Questions. Questions for practice: 10 Questions & Answers with Solutions.
#### What is... |
Bihar Board Class 10th Maths Solutions Chapter 7 Coordinate Geometry Ex 7.1
Bihar Board Class 10th Maths Solutions Chapter 7 Coordinate Geometry Ex 7.1 Textbook Questions and Answers.
BSEB Bihar Board Class 10th Maths Solutions Chapter 7 Coordinate Geometry Ex 7.1
Question 1.
Find the distance between the following ... |
# Inverse equation solver
Math can be a challenging subject for many students. But there is help available in the form of Inverse equation solver. Keep reading to learn more!
## The Best Inverse equation solver
In this blog post, we will show you how to work with Inverse equation solver. Another way to improve your ... |
# 70 and 101 Average
70 and 101 average provides the comprehensive information about what is the average of 70 and 101, and how it is being calculated mathematically. To calculate the average, the given quantities 70 and 101 can be of any physical quantity but both should have been expressed in the same measurement un... |
6 Applications of Newton’s Laws
# 6.2 Friction
### Learning Objectives
By the end of the section, you will be able to:
• Describe the general characteristics of friction
• List the various types of friction
• Calculate the magnitude of static and kinetic friction, and use these in problems involving Newton’s laws o... |
# Matrix (mathematics)
(Redirected from Empty matrix)
An m × n matrix: the m rows are horizontal and the n columns are vertical. Each element of a matrix is often denoted by a variable with two subscripts. For example, a2,1 represents the element at the second row and first column of the matrix.
In mathematics, a mat... |
# Intermediate Geometry : How to find the volume of a prism
## Example Questions
1 2 3 4 5 6 8 Next →
### Example Question #95 : Prisms
The above figure shows a square pyramid inscribed inside a cube. The pyramid has volume 100. Give the volume of the cube.
Explanation:
Let be the length of one side of the cube.... |
A rhombus area calculator is a useful math tool for calculating the area, height, angle, and other rhombus parameters. Since there are many ways to find the area, we listed the formulas below and other important information regarding the area of a rhombus, its uses, and its characteristics.
## Rhombus and its properti... |
# Multiplication Table of 6
Repeated addition by 6’s means the multiplication table of 6.
(i) When 6 bunches each having six bananas.
By repeated addition we can show 6 + 6 + 6 + 6 + 6 + 6 = 36
Then, six 6 times or 6 sixes
6 × 6 = 36
Therefore, there are 36 bananas.
(ii) When 3 trees each having 6 mangoes.
By r... |
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# Ladder has its long $2.5\,m$ and weight $150\,N$ at its center of gravity $1\,m$ from the bottom. Weight of $40$ Nische at the top end. Find out the work required to raise the ladder from horizontal position to vertical position, if the linear m... |
# Third Grade Math Common Core State Standards
## Operations and Algebraic Thinking
### Represent and solve problems involving multiplication and division.
Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.
Interpret whole-number quotients of whol... |
## Thursday, July 9, 2015
### Prove that $ab\leq \dfrac {1}{8}$ (Third Solution)
Given $b^2-4ac$ is a real root of equation $ax^2+bx+c=0,\,\, (a\neq 0)$. Prove that $ab\leq \dfrac {1}{8}$.
Third solution:
Since our aim is targeting at reaching a quadratic equation in $b^2-4ac$ or even $\sqrt{b^2-4ac}$, where $c$ is... |
# NCERT Solutions for Class 4 Maths Halves and Quarters
## myCBSEguide App
CBSE New Sample Papers 2021
CBSE Board Exam Papers, Question Bank, NCERT Solutions, NCERT Exemplars, Revison Notes, Free Videos, CBSE Papers, MCQ Tests & more.
NCERT solutions for Class 4 Mathematics
## NCERT Solutions for Class 4 Maths Hal... |
# Fix It: An Activity for Ordering Fractions
Involving students as creators of problems for others to solve provides an experience for them that’s different from the teacher always being the source of problems. Also, when students have opportunities to solve their classmates’ problems, I find that they invest in their... |
# 12.8: Rational Equations Using Proportions
Difficulty Level: Basic Created by: CK-12
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Practice Rational Equations Using Proportions
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MEMORY ... |
# 12 Times Table – Explanation & Examples
The 12 times table is the multiplication table of the number 12. We encounter the number 12 and its multiples quite often in our daily life. For example, we divide our day and nights into 12 equal hours and divide a year into 12 months. Many grocery items such as eggs also co... |
Extra Credit Geometry Problem
Draw PB. You know triangle ADP and DBP have area in ratio of 2/3 because area ratio will match ratio of bases AD/DB. So call those areas 2k and 3k.
We know triangle ABE to triangle AEC areas have ratio 1:4. Also triangle PBE to triangle PEC areas have ratio 1:4. So the differences ABE - ... |
CONGRUENT TRIANGLES
For having congruent triangles, we have to consider the following important points.
1. They must have exactly the same three sides.
2. They must have exactly the same three angles.
3. If there is a turn or flip, the equal sides and angles may not be in the same position. But they must be there.
... |
Equilateral Triangle Formula
As the name suggests, ‘equi’ means Equal, an equilateral triangle is the one where all sides are equal and have an equal angle. The internal angles of the equilateral triangle are also same, that is, 60 degrees. Here are the formulas for area, altitude, perimeter, and semi-perimeter of an ... |
# Solving Systems of Linear Equations by Graphing
## Presentation on theme: "Solving Systems of Linear Equations by Graphing"— Presentation transcript:
Solving Systems of Linear Equations by Graphing
Definitions A system of linear equations is two or more linear equations. Ex: Solution of a system of linear equation... |
+0
# 1 Madison is making a vinaigrette for her catering service using.
0
152
1
+171
1 Madison is making a vinaigrette for her catering service using Olive oil that costs fifty cent per ounce and apple cider vinegar that costs thirty- five cents an ounce. The ideal batch of vinaigrette has 25% vinegar. If she has alr... |
# Chapter 4 - Section 4.3 - Right Triangle Trigonometry - Exercise Set - Page 560: 19
The value of $2\tan \frac{\pi }{3}+\cos \frac{\pi }{4}\tan \frac{\pi }{6}$ is $\frac{12\sqrt{3}+\sqrt{6}}{6}$.
#### Work Step by Step
Consider the given expression $2\tan \frac{\pi }{3}+\cos \frac{\pi }{4}\tan \frac{\pi }{6}$. Cons... |
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# Praxis Core Math: Function Practice Questions
Function questions focus on mathematical functions, expressions of the mathematical relationship between two or more variables. Function questions are ... |
# What is the definition of gradient in maths?
## What is the definition of gradient in maths?
gradient, in mathematics, a differential operator applied to a three-dimensional vector-valued function to yield a vector whose three components are the partial derivatives of the function with respect to its three variable... |
# Areas of Parallelograms and Triangles Class 9 Maths Formulas
For those looking for help on Areas of Parallelograms and Triangles Class 9 Math Concepts can find all of them here provided in a comprehensive manner. To make it easy for you we have jotted the Class 9 Areas of Parallelograms and Triangles Maths Formulae ... |
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# Презентация
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```Mathematics & English
The 1st sign of equality of
triangles
Theorem on equality of triangles
If 2 sides and the angle between them
of the same triangle are accordingly equal to
2 sides and the angle between them of the
other triangle, then these triangles are equal.
... |
## Section2.2Arithmetic and Geometric Sequences
###### Investigate!
For the patterns of dots below, draw the next pattern in the sequence. Then give a recursive definition and a closed formula for the number of dots in the $n$th pattern.
We now turn to the question of finding closed formulas for particular types of ... |
# Types & Uses of Moments in Statistics
Last updated: 18th Nov, 2023
In statistics, moments are measures of the shape and variability of a data set. They are used to describe the location and dispersion of the data. There are several types of moments that can be calculated, each providing different information about ... |
# 2-1
## 2-1
- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
##### Presentation Transcript
1. Solving Linear Equations and Inequalities 2-1 Warm Up Lesson Presentation Lesson Quiz Holt McDougal Algebra 2 Holt Algebra 2
2. No; when 2 is substituted fo... |
# 3.8: Scientific Dimensional Analysis
## Conversion Factors
Many quantities can be expressed in several different ways. The English system measurement of 4 cups is also equal to 2 pints, 1 quart, and $$\frac{1}{4}$$ of a gallon.
$4 \: \text{cups} = 2 \: \text{pints} = 1 \: \text{quart} = 0.25 \: \text{gallon}$
Not... |
## Tuesday, November 18, 2014
### Unizor - Probability - Random Variables - Problems 3
Problem 3.1.
Given a random variable. Then a new random variable is formed as a product of a constant by this random variable.
Prove that an expectation (mean) of a product of a constant by a random variable equals to a product of ... |
# Multiple
A multiple of a number is the product of that number and an integer. The number itself does not need to be an integer, it can be any number, but in order for the result to be considered a multiple of the number, it needs to be multiplied by an integer; 4 is a multiple of 2 because 2 × 2 = 4, but 4 is not a ... |
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Basic Exponential Functions
Functions where the input variable is found in the exponent.
Estimated11 minsto c... |
# Distribution of the Sample Mean
The statistic used to estimate the mean of a population, μ, is the sample mean, .
If X has a distribution with mean μ, and standard deviation σ, and is approximately normally distributed or n is large, then is approximately normally distributed with mean μ and standard error..
When... |
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# Math 3300, Abstract Algebra I
## Solutions to Homework 4 Problems
Chapter 5. Problem 16. Associate an even permutation with the number +1 and an odd permutation with the number 1. Draw an analogy between the result of multiplying two permutations and the result of multiplying their... |
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# 2018 AMC 10B Problems/Problem 10
## Problem
In the rectangular parallelepiped shown, $AB$ = $3$, $BC$ = $1$, and $CG$ = $2$. Point $M$ is the midpoint of $\overline{FG}$. What is the volume of the rectangular pyramid with base $BCHE$ and apex $M$?
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# Algebra Test and System of Equations
Algebra test, either in your general examinations or specifically designed to measure your aptitude, requires you to know various equations.
What is an equation?
An equation is an open algebraic expression which involves a sign of equality (=). For example, x+7 = 49 is an equat... |
# Multiplying by Multiples of 10 Worksheet
## What is a multiple of 10?
When an integer is multiplied by 10, the results are known as multiples of 10. These numbers include 10, 20, 30, 40, 50, 60, and so forth. Multiples of 10 have a zero in one’s place.
## What is the “Multiplying by Multiples of 10 Worksheet”?
Th... |
# Cuboid (Definition, Shape, Perimeter, LSA, TSA, Volume)
## What is a Cuboid?
We know that a Rectangle is a two-dimensional shape in which two pairs of opposite sides are parallel to each other, and the lengths of these parallel sides are the same, as shown in the figure below. Since the Rectangle is a two-dimension... |
# The positive difference between a positive proper fraction and its reciprocal is 85/66. The fraction is:
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Maha TAIT Official Paper (Held On 12 Dec 2017 Shift 1)
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1. 3/10
2. 6/11
3. 4/13
4. 5/9
Option 2 : 6/11
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Chapter 2: Linear equations and functions
# Chapter 2: Linear equations and functions
## Chapter 2: Linear equations and functions
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##### Presentation Transcript
1. Chapter 2:Linear equations and functio... |
MathsGee is Zero-Rated (You do not need data to access) on: Telkom |Dimension Data | Rain | MWEB
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Prove that $a + ar + ar^{2} + ...$(to n terms) = $\frac{a(1 - r^{n})}{1 - r}$ for $r \neq 1$
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The sum of the first n terms of the geometric sequence, in expa... |
CLASS-3DIVISION WITH REGROUPING
DIVISION WITH REGROUPING
Q.1) Find the Answer (Quotient) 72 ÷ 6 = ?
In this division you can see that, by table of 6 you can’t reach to dividend, i.e 72. Dividend must be divided by divisor separately. So,
Step.1 Write the dividend and divisor as shown 6 ) 7 2 (
Step.2) Take t... |
# Triangle Inequality Theorem
## Objective and Overview
In this lesson, students will explore when three lengths can and cannot form a triangle. In doing so, they will randomly break a line of length 10 into three lengths and determine how often those lengths form a triangle.
## Warm-Up
Begin by handing out 2 piece... |
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# Alternate Formula for the Area of a Triangle
## Area equals half the product of two sides and the sine of th... |
1975 AHSME Problems/Problem 24
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Problem
In triangle $ABC$, $\angle C = \theta$ and $\angle B = 2\theta$, where $0^{\circ} < \theta < 60^{\circ}$. The circle with center $A$ and radius $AB$ intersects $AC$ at $D$ and intersects $BC$, extended i... |
ISEE Upper Level Quantitative : How to find the length of the side of a triangle
Example Questions
Example Question #1 : How To Find The Length Of The Side Of A Triangle
Which of the following could be the lengths of the three sides of a scalene triangle?
All of the other choices are possible lengths of a scalene t... |
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