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# Important Mensuration (2D) Formulas
By Parnab Mallick|Updated : January 27th, 2021
It is very important to have an understanding of different formulas of quadrilaterals and circle to comfortably attempt Maths questions which covers a good portion of the Quant Section of Competitive Exams. Here we are providing you ... |
# Experimental Probability Formula
## Sample Space
A Sample space is the list of all outcomes in a random experiment.
### Simulation
When it is impossible to list all
the outcomes, we create a model of the experiment. This is called simulation.
### Experimental definition of Probability
By simulating the experi... |
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# Multiplication Facts x 11 FUN Digital Activities
\$3.00
SKU: 5376047 Categories: ,
## Description
The FUN and ENGAGING Multiplication Practice Activities are Perfect for Math Stations, Homework, Tutoring or Distance Learning. Students always need to practice their m... |
# How many multiples of 3 are there?
## How many multiples of 3 are there?
How to list multiples of a number?
Multiples of 1 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
Multiples of 3 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.
Multiples of 4 4, 8, 12, 16, 20, 24, 28, 32, 36, 40.
Multiples of 5 5, 10, 15, 20, 25, 30, 35, 40, 45, 50.
Mu... |
What is 10 of 15?
Multiplication is an essential arithmetic operation; using this multiplication, we can combine quantities, determine the total of repeated additions, and calculate the product of two or more numbers. In this article, we will learn about the product of 10 and 15 in a detailed manner by breaking down t... |
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# If the remainder on division of ${x^3} + 2{x^2} + kx + 3$ by $x - 3$ is 21, find the quotient and value of k. Hence, find the zeros of the cubic polynomial ${x^3} + 2{x^2} + kx - 18$.
Last updated date: 13th Jun 2024
Total views: 411.9k
Views t... |
# Lesson 15: More Nets, More Surface Area
Let’s draw nets and find the surface area of polyhedra.
## 15.1: Notice and Wonder: Wrapping Paper
Kiran is wrapping this box of sports cards as a present for a friend.
What do you notice? What do you wonder?
## 15.2: Building Prisms and Pyramids
Your teacher will give yo... |
3-D Solids: Faces, Edges and Vertices
by on February 28, 2012
A 3-D solid (sometimes called a 3-D shape) is a figure that is not flat, it is three-dimensional. Some examples of 3-D solids include a cube, rectangular prism, cone, cylinder, pyramid, sphere and so on. Once your child has had an opportunity to explore ... |
# How do you solve 2x^3 + x^2 - 5x + 2 < 0?
Oct 1, 2015
$2 {x}^{3} + {x}^{2} - 5 x + 2 = \left(x + 2\right) \left(2 x - 1\right) \left(x - 1\right)$
Hence $2 {x}^{3} + {x}^{2} - 5 x + 2 < 0$ when $x \in \left(- \infty , - 2\right) \cup \left(\frac{1}{2} , 1\right)$
#### Explanation:
Let $f \left(x\right) = 2 {x}^{... |
How Cheenta works to ensure student success?
Explore the Back-Story
# Ratio of the areas | PRMO-2019 | Problem 19
Try this beautiful problem from PRMO, 2019 based on Ratio of the areas.
## Ratio of the areas | PRMO | Problem-19
Let $\mathrm{AB}$ be a diameter of a circle and let $\mathrm{C}$ be a point on the segme... |
# Lesson 20
Writing and Solving Inequalities in One Variable
### Problem 1
Solve $$2x < 10$$. Explain how to find the solution set.
### Solution
For access, consult one of our IM Certified Partners.
### Problem 2
Lin is solving the inequality $$15 - x < 14$$. She knows the solution to the equation $$15 - x = 14$... |
# Solving for x for equation $y=x(8-x)$
I am trying to find the equation of $y=x(8-x)$
So what I did so far ...
$y=8x-x^2$
But no matter what I did after, I still will have $x$ of different degrees? eg. 1 squared, 1 "normal"? else it will be 1 square root, 1 "normal"?
How do I solve this?
Given answer: $f^{-1}=4-... |
# Converting 2.5 to a Percentage – Simple Guide!
Have you ever wondered what is 2.5 as a percentage? Maybe you need to convert 2.5 to a percentage for a calculation or analysis. Well, look no further! In this simple guide, we’ll show you how to calculate 2.5 as a percentage quickly and easily.
To convert 2.5 to a per... |
If you find any mistakes, please make a comment! Thank you.
## Solution to Linear Algebra Hoffman & Kunze Chapter 9.2
#### Exercise 9.2.1
Solution:
(a) No. Since $f(0,\beta)\ne 0$.
(b) No. Since $f((0,0),(1,0))\ne 0$.
(c) Yes. Since $f(\alpha,\beta)=4x_1\bar y_1$.
(d) No. Because of $\bar x_2$ there, it is not l... |
Which Expression Represents The Volume, In Cubic Units, Of The Composite Figure?
WILL GIVE BRAINLIEST Which expression represents the volume, in cubic units, of the composite figure? A. (8)(6)(6) + (8)(6)(4)B. (8)(6)(10) + (8)(6)(4)C. (8)(6)(4) – (8)(6)(6)D. (8)(6)(4) – (8)(6)(10)
Solution:
The figure is splitted in... |
Miscellaneous
Chapter 1 Class 11 Sets
Serial order wise
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
### Transcript
Misc 6 Introduction Show that for any sets A and B, A = (A ∩ B) ∪ (A – B) and A ∪ (B – A) = (A ∪ B) Let U = {1, 2, 3, 4, 5} A = {1, 2} B = {2, 3, 4} A – B = A – (A ∩ B) ... |
# UNIT RATE WORD PROBLEMS WORKSHEET
## About "Unit rate word problems worksheet"
Unit rate word problems worksheet is much useful to the students who would like to practice problems on "Unit rate"
First let us understand what is unit rate.
Unit rate definition (or) Definition of unit rate :
Unit rate compares the ... |
How do you solve and graph x^3<=4x^2+3x?
Jun 25, 2017
The solution is $x \in \left(- \infty , 2 - \sqrt{7}\right] \cup \left[0 , 2 + \sqrt{7}\right]$
Explanation:
We solve this inequality with a sign chart.
${x}^{3} \le 4 {x}^{2} + 3 x$
${x}^{3} - 4 {x}^{2} - 3 x \le 0$
$x \left({x}^{2} - 4 x - 3\right) \le 0$
... |
TUTORIALS
TUTORIALS HOME
GENERAL MATH
NUMBER SETS
ABSOLUTE VALUE & INEQUALITIES
SETS & INTERVALS
FRACTIONS
POLYNOMIALS
LINEAR EQUATIONS
GEOMETRY
FINITE SERIES
TRIGONOMETRY
EXPONENTS
LOGARITHMS
INDUCTION
CALCULUS
LIMITS
DERIVATIVES
RELATED RATES & OPTIMIZATION
CURVE SKETCHING
INTEGRALS
AREA & VOLUME
INVERSE FUNCTIONS
... |
# Derivation of the Proof of the Area of a Rectangle
In getting the areas of figures, calculating the area of a square is probably the easiest. We can easily calculate the area of a square by squaring its side length . For example, a square with side length 5 units has area 25 square units. What about the area of a re... |
# Linear independence and dependence of vectors
I am really stuck in this problem, I have only 2 days to learn matrix's base, and its generator. My problem is that I know definitions but I don't understand intuitively what they mean.
What I know: base = vectors which generate the matrix. generator = vectors which gen... |
# geometric linear transformation find the angle
T is a reflection on the $x$ axis and after a reflection on the line $y = x$
Show that T is a rotation and give the angle.
So my matrix of transformation would be $$\begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}$$
and I know that a matrix of rotation is $$\begin{bmatri... |
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# How do you find a power series representation for $\ln \left( 1-{{x}^{2}} \right)$ and what is the radius of convergence?
Last updated date: 20th Jun 2024
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Hint: In mathematics, a pow... |
# How do you use the product to sum formulas to write cos2thetacos4theta as a sum or difference?
Feb 17, 2017
$= \frac{\cos 6 t + \cos 2 t}{2}$
#### Explanation:
Use trig identity:
$\cos a + \cos b = 2 \cos \left(\frac{a - b}{2}\right) . \cos \left(\frac{a + b}{2}\right)$
In this case, we have:
$\frac{a - b}{2} = 2... |
1. Chapter 4 Class 12 Determinants
2. Serial order wise
3. Examples
Transcript
Example 24 If A = 1 3 3 1 4 3 1 3 4 , then verify that A adj A = |A| I. Also find A 1. Taking L.H.S A (adj A) First Calculating adj A adj A = A 11 A 21 A 31 A 12 A 22 A 32 A 13 A 23 A 33 Now, A = 1 3 3 1 4 3 1 3 4 M11 = 4 3 3 4 = 4(4) 3(3)... |
# How to Find Domain and Range of Relation
Understanding the domain and range of a relation is crucial in mathematics, particularly when delving into functions. The domain consists of all permissible input values (typically the $$x$$-values), while the range encompasses all possible output values (usually the $$y$$-va... |
# How to write quadratic function given the following information?
## An apartment complex has 1600 units available of which 800 are currently rented for 300 dollars per month. A market survey indicated that a each five dollar decrease in monthly rent will result in 20 new renters. Write a function that models the mon... |
# 1033 and Level 3
To solve a level 3 puzzle begin with 80, the clue at the very top of the puzzle. Clue 48 goes with it. What are the factor pairs of those numbers in which both factors are between 1 and 12 inclusive? 80 can be 8×10, and 48 can be 4×12 or 6×8. What is the only number that listed for both 80 and 48? P... |
# A balloon with a volume of 5.3 L is taken from an indoor temperature of 24 C to the outdoors. The volume of the balloon outside is 4.9 L. How do you determine the C temperature outside?
Aug 31, 2016
The outside temperature is 0 °C.
#### Explanation:
Given
The volume ${V}_{1}$ of a gas at a temperature ${T}_{1}$.... |
# Lesson 5
Triangles in Circles
• Let’s see how perpendicular bisectors relate to circumscribed circles.
### 5.1: One Perpendicular Bisector
The image shows a triangle.
1. Construct the perpendicular bisector of segment $$AB$$.
2. Imagine a point $$D$$ placed anywhere on the perpendicular bisector you constructed.... |
Dnt know how to work these out:
$\displaystyle \sqrt{\frac{2}{5}x + 3} - \frac{4}{5} = \frac{2}{5}$
$\displaystyle 6 + \sqrt{7x+3} = 6$
2. $\displaystyle \sqrt{\frac{2}{5}x + 3} - \frac{4}{5} = \frac{2}{5}$
Add $\displaystyle \frac{4}{5}$ to both sides of the equation:
$\displaystyle \sqrt{\frac{2}{5}x + 3} = \frac... |
# Sam ran 63,756 feet in 70 minutes. What is Sam's rate in miles per hour?
##### 2 Answers
Aug 6, 2016
Sam's rate is $\left(10.35 \text{miles")/(hour}\right)$
#### Explanation:
Let's break the answer down into three parts:
color (magenta) ("First," we're going to convert feet to miles using this conversion factor:... |
# Government Standards
## Common Core
Assessment Exam - Common Core Math - High School: Number and Quantity
The Real Number System eTAP Lesson
Extend the properties of exponents to rational exponents.
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer expo... |
Decimals - Easy Mathematics Step-by-Step
## Easy Mathematics Step-by-Step (2012)
### Chapter 6. Decimals
In this chapter, you learn how to work with decimals.
Decimal Concepts
Decimal fractions are fractions with a denominator that is some positive power of 10, such as , , , and so forth. To represent these num... |
# What is factoring?
What is factoring in algebra? Factoring is the process by which one tries to make a mathematical expression look like a multiplication problem by looking for factors. Basically, factoring reverses the multiplication process.
• Factoring can be as easy as looking for 2 numbers to multiply to get an... |
Solution: Problem Challenge 3: Minimum Window Sort
Go Back
## Problem Statement
Given an array, find the length of the smallest subarray in it which when sorted will sort the whole array.
Example 1:
``````Input: [1, 2, 5, 3, 7, 10, 9, 12]
Output: 5
Explanation: We need to sort only the subarray [5, 3, 7, 10, 9] to ... |
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# Identify and write the like terms in the following group of terms.$7p,8pq, - 5pq, - 2p,3p$
Last updated date: 10th Aug 2024
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Hint:The terms having the same variable with same exponent... |
# if A gives B $3, B will have twice as much as A. If B gives A$5, A will have twice as much as...
## Question:
If A gives B {eq}$3, {/eq} B will have twice as much as A. If B gives A {eq}$5, {/eq} A will have twice as much as B.How much does each have?
## Algebraic equation word problems
An algebraic equation is f... |
# If pth, qth and rth terms of an A.P. are in G.P., then the common ratio of this G.P. is
Question:
If pth, qth and rth terms of an A.P. are in G.P., then the common ratio of this G.P. is
(a) $\frac{p-q}{q-r}$
(b) $\frac{q-r}{p-q}$
(c) pqr
(d) none of these
Solution:
(b) $\frac{q-r}{p-q}$
Let a be the first te... |
Simplifying Exponential Expressions
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Transcription
1 Simplifying Eponential Epressions
2 Eponential Notation Base Eponent Base raised to an eponent Eample: What is the base and eponent of the following epression? 7 is the base 7 is the eponent
3 Goal To write simplified statements th... |
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# A direct current of $5{\text{A}}$ is superimposed on an alternating current $I = 10\sin \omega t$ flowing through a wire, The effective value of the resulting current will be(A) $\left( {\dfrac{{15}}{2}} \right){\text{A}}$(B) $5\sqrt 3 {\text{A}... |
# Linear Relationships – first differences
### QUESTION
What does it mean to use “first differences” to determine which of the 4 tables shown at right represent non-linear relationships?
To find first differences, look at column 2: subtract the 1st number from the 2nd, the 2nd from the 3rd, etc.
• If these differen... |
# 022 Sample Final A, Problem 3
Find the antiderivative: ${\displaystyle \int {\frac {6}{x^{2}-x-12}}\,dx.}$
Foundations:
1) What does the denominator factor into? What will be the form of the decomposition?
2) How do you solve for the numerators?
3) What special integral do we have to use?
1) Since ${\displaystyle x... |
Triangle ABC is an isosceles triangle with AB...
### Related Test
Triangle ABC is an isosceles triangle with AB = AC and AD is the perpendicular dropped from vertex A on the side BC. What is the perimeter of triangle ABC?
(2) The perimeter of triangle ADB is 15 + 5√3
• a)
Statement (1) ALONE is sufficient, but statem... |
# Maths - Matrix Arithmetic
To add matrices just add the corresponding elements, the matrices being added must have the same dimensions, example are shown on the following pages:
### Matrix Subtraction
To subtract matrices just subtract the corresponding elements, the matrices being subtracted must have the same dim... |
# How To Solve Ratio And Proportion Problems – Tips And Tricks
0
3900
Ratio and Proportion are commonly asked questions in aptitude test and competitive exams. These problems require special arithmetic calculation ability to solve it quickly. Questions from these category could be so tricky, so you must equipped your... |
# How do you write the quadratic function in standard form y=4(x-1)^2+5?
Jun 25, 2017
$y = 4 {x}^{2} - 8 x + 6$
#### Explanation:
$y = 4 {\left(x - 1\right)}^{2} + 5$ This is Vertex form.
Expand & simplify
$y = 4 \setminus \cdot \left(x - 1\right) \left(x - 1\right) + 5$
$y = 4 \setminus \cdot \left({x}^{2} - 2 x ... |
# 1979 AHSME Problems/Problem 24
## Problem 24
Sides $AB,~ BC$, and $CD$ of (simple*) quadrilateral $ABCD$ have lengths $4,~ 5$, and $20$, respectively. If vertex angles $B$ and $C$ are obtuse and $\sin C = - \cos B =\frac{3}{5}$, then side $AD$ has length
• A polygon is called “simple” if it is not self intersectin... |
# How do you solve abs(5n-4)=16?
Jul 20, 2017
See a solution process below:
#### Explanation:
The absolute value function takes any negative or positive term and transforms it to its positive form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.
S... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# 6.15: Percent of Decrease
Difficulty Level: At Grade Created by: CK-12
Estimated7 minsto complete
%
Progress
Practice Percent of Decrease
MEMORY METER
This indicates how strong in you... |
# Search by Topic
#### Resources tagged with Creating and manipulating expressions and formulae similar to What's Possible?:
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Broad Topics > Algebraic expressions, equations and formulae > Creating and manipulating expressions and formula... |
Next: Quadratic Coupled Map Up: Synchronization of Chaotic Maps Previous: Introduction
# Background
We will start by introducing the necessary background ideas to understand what is happening. First we will introduce the notion of a map, by giving an analogy to differential equations (DE). A system of DE's is a set o... |
# Vector projection
## Why vector projection
A projection of a vector onto another vector has many applications.
Imagine for example a cart on a slope. Given a vector made from two points on the slope and the gravity vector, we can use the projection of the gravitational acceleration vector onto the slope vector to ... |
# Number of permutations of matrices with unique rows and columns
Consider an $m$ by $n$ matrix filled with integers in $\left[0, b\right[$.
There would be $b^{mn}$ possible matrices.
Two matrices would be considered equivalent (in this system) iff you can switch some rows and columns in the matrix and they are the ... |
You are here Home » Innov8tiv U » Exponent Rules: 5 Key Strategies to Solve Tough Equations
# Exponent Rules: 5 Key Strategies to Solve Tough Equations
Exponent rules explain the ways to simplify various equations with different types of exponents. Equations that contain exponents with the same base can be solved qui... |
# Horizontal Asymptote Rules, Task Solving Tips, And Examples
By: Angelina Grin
8 min
0
10.04.2022
In the modern world, mathematics is used everywhere, even despite technological progress. That is why educational institutions are so insistently forcing students to study this science. High school students experienc... |
# Bitwise multiplication
Mr. EG has come up with a great coding scheme for (non-negative) integers in binary. To show off his creation, he demonstrates the following multiplications:
010 x 011 = 010011
011 x 010010 = 010010011
010011 x 010010011 = 010010010011011
01000101 x 01001000111 = 0100100100010100111
What is... |
# How do you simplify root3(1/7)?
Aug 15, 2017
$\frac{\sqrt[3]{49}}{7}$
#### Explanation:
Since ${x}^{\frac{m}{n}} = \sqrt[n]{{x}^{m}}$, we can write $\sqrt[3]{\frac{1}{7}}$ as ${\left(\frac{1}{7}\right)}^{\frac{1}{3}}$.
According to the power of a quotient rule, ${\left(\frac{a}{b}\right)}^{m} = {a}^{m} / {b}^{m}... |
Paul's Online Notes
Home / Algebra / Solving Equations and Inequalities / Quadratic Equations - Part II
Show Mobile Notice Show All Notes Hide All Notes
Mobile Notice
You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it... |
# Writing Equations In Slope-Intercept Form Worksheet Answers
## The Definition, Formula, and Problem Example of the Slope-Intercept Form
Writing Equations In Slope-Intercept Form Worksheet Answers – There are many forms that are used to represent a linear equation, one that is commonly found is the slope intercept f... |
# Elementary Algebra Review Part 7
Taught by YourMathGal
• Currently 4.0/5 Stars.
7127 views | 2 ratings
Part of video series
Lesson Summary:
In this Elementary Algebra Review lesson, students will learn how to simplify numerical expressions using order of operations, and evaluate variable expressions by plugging in ... |
# How to find out the formula for acceleration?
## How to find out the formula for acceleration?
Formula of Acceleration 1 Final Velocity is v 2 Initial velocity is u 3 Acceleration is a 4 Time taken is t 5 Distance traveled is s
How to calculate the acceleration of a meter per second?
It is denoted by symbol a and... |
Spectrum Math Grade 6 Chapter 1 Lesson 11 Answer Key Problem Solving
Go through the Spectrum Math Grade 6 Answer Key Chapter 1 Lesson 1.11 Problem Solving and get the proper assistance needed during your homework.
Spectrum Math Grade 6 Chapter 1 Lesson 1.11 Problem Solving Answers Key
Solve each problem.
Question 1... |
Finding the average distance in an equilateral triangle
In the previous post I looked at the average distance between 2 points in a rectangle. In this post I will investigate the average distance between 2 randomly chosen points in an equilateral triangle.
Drawing a sketch.
The first step is to start with an equila... |
## Book: Mathematics Part-II
### Chapter: 13. Probability
#### Subject: Maths - Class 12th
##### Q. No. 5 of Exercise 13.5
Listen NCERT Audio Books - Kitabein Ab Bolengi
5
##### The probability that a bulb produced by a factory will fuse after 150 days of use is 0.05. Find the probability that out of 5 such bulbs(... |
# Iterative Methods
GCSELevel 6-7AQAEdexcelOCR
## Iterative Methods
Iterative methods or iterations is the idea of repeating a process over and over with the purpose of getting closer to an answer. In maths, iterative methods are often used when finding an exact answer is not so simple. There are 3 key skills involv... |
#### Transcript Sample
```Parameters VS. Statistics
and
Samples & Census
How do we compare
statistics and parameters?
M2 Unit 4: Day 3
Statistics VS Parameters
Statistics (for samples) :
x and S
Parameters (for populations) :
and
Today…
You will be given the population
parameters and
You will be given a ... |
### Home > CCAA > Chapter 8 Unit 7 > Lesson CC2: 8.3.1 > Problem8-62
8-62.
Simplify each expression.
1. $\frac { 9 } { 15 } \div \frac { 4 } { 3 }$
When you divide by a fraction, you are multiplying by its reciprocal.
$\frac{9}{20}$
1. $- \frac { 19 } { 20 } + \frac { 4 } { 5 }$
Find a common denominator.
$-\fr... |
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## SAT (Fall 2023)
### Course: SAT (Fall 2023)>Unit 6
Lesson 5: Problem Solving and Data Analysis... |
# Into Math Grade 4 Module 7 Lesson 1 Answer Key Represent Division with Regrouping
We included HMH Into Math Grade 4 Answer Key PDF Module 7 Lesson 1 Represent Division with Regrouping to make students experts in learning maths.
## HMH Into Math Grade 4 Module 7 Lesson 1 Answer Key Represent Division with Regrouping... |
# Geometry
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### Using the Angle-Side-Angle Method to Prove Triangles Congruent
The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent
### Using the Is... |
The word problems on the proportion aid you in a mathematical comparison between two numbers. The proportion gets majorly based on ratio and fractions. This article on Proportion Word Problems Worksheet with Answers PDF gives you a various number of proportion problems. At the end of this page, you can get clear knowle... |
Illinois State University Mathematics Department
MAT 312: Probability and Statistics for Middle School Teachers Dr. Roger Day (day@ilstu.edu)
### Assignment #3: Possible Solutions
Assignment due on Thursday, 6/24/04
Use the Couples' Ages data set, handed out in class, to complete the following tasks.
1. Create th... |
# A circle has a chord that goes from ( pi)/2 to (11 pi) / 6 radians on the circle. If the area of the circle is 5 pi , what is the length of the chord?
##### 1 Answer
Aug 8, 2016
$= 9.4$
#### Explanation:
A chord that goes from $\frac{\pi}{2}$to $11 \frac{\pi}{6}$
so it travels the distance $11 \frac{\pi}{6} - \... |
# 34 6 req 4 for example 29 2 req 6 4 resistor in
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Unformatted text preview: 6×3 =2 6+3 (The symbol is used to indicate a parallel combination.) Also, the 1and 5- resistors are in s... |
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# Equivalent fractions and comparing fractions: FAQ
## What are equivalent fractions?
Equivalent ... |
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# How do you teach repeated addition?
## How do you teach repeated addition?
A good way of teaching repeated addition is to help your child visualise the question. They could use a number line to track each step of ‘4+4+4+4’. They could also group images into sets o... |
Algebra I Recipe: The Slope of a Line
A. Slope Facts
1. Positive slope – when the line slants upward from left to right.
2. Negative slope – when the line slants downward from left to right.
3. There are two directions or changes with slope.
• The up and down change or vertical change is the change in the y-values.
• T... |
# 1.9 Proficiency exam
Page 1 / 1
This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module is a proficiency exam to the chapter Addition and Subtraction of Whole Numbers. Each problem is accompanied with a reference link pointing back to the module that discusses the type of ... |
# 2023 AMC 10A Problems/Problem 18
## Problem
A rhombic dodecahedron is a solid with $12$ congruent rhombus faces. At every vertex, $3$ or $4$ edges meet, depending on the vertex. How many vertices have exactly $3$ edges meet?
$\textbf{(A) }5\qquad\textbf{(B) }6\qquad\textbf{(C) }7\qquad\textbf{(D) }8\qquad\textbf{(... |
Week 5 – Precalc 11
This week in Precalculus 11, we started the Solving Quadratic Equations Unit. We first reviewed factoring polynomial expressions.
Factoring: separating an expression into its components
Polynomial expression: an expression of numbers and variables being added, subtracted or multiplied (example: 2... |
# Disjoint vs. Independent Events: What’s the Difference?
Two terms that students often confuse are disjoint and independent.
Here’s the difference in a nutshell:
We say that two events are disjoint if they cannot occur at the same time.
We say that two events are independent if the occurrence of one event has no e... |
# 8th Grade FSA Math FREE Sample Practice Questions
Preparing your student for the 8th Grade FSA Math test? To succeed on the FSA Math test, students need to practice as many real FSA Math questions as possible. There’s nothing like working on FSA Math sample questions to measure your student’s exam readiness and put... |
# Mathematics - Discrete Mathematics - Implication and Equivalence Statements
[Image 1]
## Introduction
Hey it's a me again @drifter1!
Today we continue with Mathematics, and more specifically the branch of "Discrete Mathematics", in order to get into more on Implication and Equivalence Statements.
Of course, you ... |
• Numbers are four types: Natural Number, Whole Number, Integer, and Rational Numbers.
# Numbers in general form
• Any two digit number xy made of digits x and y can be written as = 10 X x + 1X y
• Any three digit number xyz made of digits x, y, and z can be written as = 100 X x + 10Xy + 10Xz
EXAMPLE 1: Write the n... |
# Subsets
A set is a collection of objects. A subset is a set that consists of members of another set. So, a subset is a set that is contained inside another set.
then some of its subsets are
However, it has other subsets as well.
• There's the subset containing no elements. We call this the empty set and write it ... |
Equations & Brackets.. You are now going to solve more complex equations by combining together two ideas that you have seen already. Try the following.
Presentation on theme: "Equations & Brackets.. You are now going to solve more complex equations by combining together two ideas that you have seen already. Try the fo... |
Algebra II Chapter 5
```Algebra II
Chapter 5
The graph of a quadratic function is a parabola, as shown at rig.
Standard Form:
f ( x) = ax 2 + bx + c
⎛ b ⎛ −b ⎞ ⎞
vertex: (x, y) = ⎜ − , f ⎜ ⎟ ⎟
⎝ 2a ⎝ 2a ⎠ ⎠
a<0
graph opens down
a>0
graph opens up
b
axis of symmetry: x = −
2a
Larson
Text, Ch
5, p. 249
Graph each functi... |
# How To Calculate Tangent Of An Angle
Friday, January 13th 2023. | Sample Templates
How To Calculate Tangent Of An Angle – Any high school student who has encountered trigonometry in their math curriculum has likely encountered the laws of sine, cosine, and area, which are commonly used to solve triangles, where som... |
# Deriving the Sum of the Arithmetic Sequence
We have discussed arithmetic progression or arithmetic sequence and you have learned how to find its nth term. In the previous post, you have also learned how to find the sum of the first n positive integers. Notice that first n positive integers 1, 2, 3, 4, 5, all the way... |
### How to Analyze a GMAT Integrated Reasoning Two-Part Question
This is the latest in a series of How To Analyze articles that began with the general How To Analyze A Practice Problem article (click on the link to read the original article). This week, we’re going to analyze a specific IR question from the Two-Part... |
# How do you complete a square in algebra?
## How do you complete a square in algebra?
Steps
1. Step 1 Divide all terms by a (the coefficient of x2).
2. Step 2 Move the number term (c/a) to the right side of the equation.
3. Step 3 Complete the square on the left side of the equation and balance this by adding the s... |
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# Summary: Using Intercepts to Graph Lines
## Key Concepts
• Intercepts
• The $x$-intercept is the point, $\left(a,0\right)$ , where the graph crosses the $x$-axis. The $x$-intercept occurs when $y$ is zero.
• The $y$-intercept is the point, $\left(0,b\right)$ , where the graph crosses the $y... |
Class 12 Maths NCERT Solutions for Chapter 9 Differential Equations Exercise 9.4
Differential Equations Exercise 9.4 Solutions
1. For the differential equations find the general solution :
dy/dx = (1 - cos x)/(1 + cos x)
Solution
The given differential equation is :
Separating the variables, we get :
Now, integra... |
# 6.3: Differentiation and Integration of Logarithmic and Exponential Functions
Difficulty Level: At Grade Created by: CK-12
## Learning Objectives
A student will be able to:
• Understand and use the rules of differentiation of logarithmic and exponential functions.
• Understand and use the rules of integration of ... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# 3.7: Solving Multi-Step Inequalities
Difficulty Level: At Grade Created by: CK-12
## Introduction
Marching Times
“We have a lot to do to get ready for the big parade,” Mrs. Kline an... |
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# Base of an Isosceles Triangle
Last updated date: 17th Apr 2024
Total views: 141.3k
Views today: 1.41k
## What is an Isosceles Triangle?
Triangles classified as isosceles have at least two sides with equal sides or angles. As three-sided uncon... |
## College Algebra (10th Edition)
$f(x)=(x-1)(2x+1)(x+\sqrt{2})(x-\sqrt{2})$ Zeros: $-\displaystyle \sqrt{2},\ \ -\frac{1}{2},\ \ 1,\ \ \sqrt{2},$ all with multiplicity 1.
$f(x)$ has at most $4$ real zeros, as the degree is $4$. Rational zeros: $\displaystyle \frac{p}{q},$ in lowest terms, $p$ must be a factor of $2,\... |
Computation Operations For Class 3 | Practice Questions
# Computation Operations
## Computation Operations - Sub Topics
• Computation Operations
• Subtraction
• Multiplication
• Division
• Solved Questions on Computation Operation
• ## Computation Operations
The fundamental operations used to calculate values are... |
# boolean algebra, why is this try to simplify wrong?
so I have been trying to learn simplifying boolean Algebra, lets look at this term : $$(a*b)+(a*\neg b)+(\neg a * \neg b)$$
I have several questions, I know how the right solution looks like but why couldn't I collect $a$ and $\neg a$?
so :
1. $a* \neg a *(b+\neg ... |
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