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By BYJU'S Exam Prep
Updated on: September 25th, 2023
Ratio and proportion are crucial topics in the quantitative aptitude section of competitive exams, particularly the SSC exams. Typically, 4-5 questions in the SSC exams are based on this topic. Understanding the concepts of ratio and proportion is essential because... |
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# Find the Area, in Square Metres, of the Trapezium Whose Bases and Altitude is as Under: Bases = 8 M and 60 Dm, Altitude = 40 Dm - Mathematics
Course
ConceptArea of Trapezium
#### Question
Find the area, in square metres, of the trapezium whose bases and altitude is as under:
bases = 8 m and 60 dm, altitude ... |
# Indeterminate form explained
In calculus and other branches of mathematical analysis, when the limit of the sum, difference, product, quotient or power of two functions is taken, it may often be possible to simply add, subtract, multiply, divide or exponentiate the corresponding limits of these two functions respect... |
# 4.4: Right Triangle Trigonometry
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$
( \newcommand{\kernel}{\mathrm{null}\,}\) ... |
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# Base System Concepts and Questions for CAT
We humans use decimal system for our mathematical ca... |
# Interactive Differential Equations: A Step-by-Step Approach to Methods & Modeling
## Section1.2Definition
Here is the formal definition of a differential equation.
### Definition1.Differential Equation.
A differential equation (DE) is an equation that involves one or more derivatives of an unknown function. If th... |
# The Charlotte Mason Way to Teach Multiplication Tables
“There is no royal road to the multiplication table; it must be learnt by heart. This is a fact which faces every teacher of elementary arithmetic, and which each must prepare for in the best way possible.”
The Teaching of Arithmetic to Young Children, p. 10
T... |
# Question 1
1. $$T(n) = 2T(\frac{n}{4})+n^{0.51}$$
Using Master’s Theorem $$T(n)=aT(\frac{n}{b})+f(n)$$, we let $$a=2$$, $$b=4$$, and $$d=.51$$.
$$T(n) = \theta(n^{0.51})$$
2. $$T(n) = 16T(\frac{n}{4}) + n!$$
We can use Case 3 that was given ($$f(n) = \Omega(n^{log_{b}a+\epsilon})$$ ) to analyze the recurrence re... |
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# Manick is $12$ years old and is three times as old as his brother Rahul. How old will Manick be when he is twice as old as Rahul?(A) $14$years (B) $16$years (C) $18$years (D) $20$years
Last updated date: 13th Jul 2024
Total views: 450k
Views to... |
# NCERT Solutions for Class 7 Mathematics Chapter 14 - Visualising Solid Shapes
##### Question 1:
Complete the following table:
##### Answer:
Complete table is as follow:
##### Question 2:
Here you find four nets (Figure). There are two correct nets among them to make a tetrahedron. See if you can work out which ... |
In Exponent Basics we worked with whole number exponents. The whole numbers are the set of numbers {0, 1, 2, 3, 4, ...}. The whole numbers are the positive integers, plus zero.
On this page, we will be examing exponents that are negative integers.
Negative Integer Exponents
The use of a negative integer exponent ha... |
NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.4
# NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.4
## NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.4
NCERT Solutions for Class 8 Maths Chapter 9 Alge... |
# 3.2. Random Variables#
Random numerical quantities such as “the number of heads in ten tosses of a coin” are called random variables. The terminology and notation of random variables helps reduce the amount of writing involved in phrases like “the chance that there are no more than 4 heads in ten tosses of a coin.”
... |
Directions: Study the following questions and choose the right answer:
Important for :
1
Two light rods AB = a + b, CD = a – b symmetrically lying on a horizontal AB. There are kept intact by two strings AC and BD. The perpendicular distance between rods in a. The length of AC is given by
» Explain it
D
Since, they are... |
# Search by Topic
#### Resources tagged with Practical Activity similar to Making Rectangles, Making Squares:
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### There are 63 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Practical Activity
### Making Rectangles, Making Squares
##### St... |
# How do you divide (-x^4-3x^3-2x^2+7x+3)/(x^2+3) ?
##### 1 Answer
Jun 25, 2018
$- {x}^{2} - 3 x + 1 + \frac{16 x}{{x}^{2} + 3}$
#### Explanation:
Using place keepers of zero value. Example: $0 {x}^{3}$
$\textcolor{w h i t e}{\text{dddddddddddddd}} + {x}^{4} - 3 {x}^{3} - 2 {x}^{2} + 7 x + 3$
$\textcolor{m a \ge n... |
AMC 8 PREPARATION TEXTBOOKS
Top AMC 8 scorers across the country have used our Introduction series of textbooks, Art of Problem Solving Volume 1, and Competition Math for Middle School to get ready for the AMC 8.
# 2018 AMC 8 Problems
## Problem 1
An amusement park has a collection of scale models, with ratio $1 : 2... |
Krishna
0
Step 1: Find the circumference of the circle
NOTE: Circumference of the circle = 2 \pi r
EXAMPLE: Circumference = 2 \pi r
= 2 \pi(15)
= 30 \pi
Step 2: Identify the type of the triangle
NOTE: The triangle are congruent because they are radii of the same circle.
So, \triangle APB is isosceles, and t... |
# Algebra Tips: How to Solve Word Problems About Ages
TR Smith is a product designer and former teacher who uses math in her work every day.
Joined: 5 years agoFollowers: 216Articles: 455
These kids will only reveal their ages if you solve a word problem. | Source
Word problems about ages are a popular theme for mat... |
Someone help me with these algebraic equations? 1. 3x + 8 = 53 2. (x + 21) + (2x + 9) = 90 3. 3(x + 8) = 12 4. 7x + 5 = 5x + 17 5. 2(3x - 4) + 10 = 5(x + 4)
2
by toriidamons
2014-09-05T21:39:59-04:00
1. 3x + 8 = 53
3x=45
x=15
2. (x + 21) + (2x + 9) = 90
x+21+2x+9=90
3x=69
x=23
3. 3(x + 8) = 12
3x+24=12
3x=-12
x=-4
4.... |
2011 AMC 12B Problems/Problem 14
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Problem
A segment through the focus $F$ of a parabola with vertex $V$ is perpendicular to $\overline{FV}$ and intersects the parabola in points $A$ and $B$. What is $\cos\left(\angle AVB\right)$?
$\textbf{(A)... |
# Functions
40 %
60 %
Education
Published on March 11, 2014
Author: tylerisaacmurphy
Source: slideshare.net
## Description
Functions and how to prove 1-1 and onto Tyler Murphy March 10, 2014 Before we get into these, let’s first talk about some Definitions and notation. When we talk about a relation, R between two ... |
# What can 30 15 be simplified?
## What can 30 15 be simplified?
Reduce 30/15 to lowest terms
• Find the GCD (or HCF) of numerator and denominator. GCD of 30 and 15 is 15.
• 30 ÷ 1515 ÷ 15.
• Reduced fraction: 21. Therefore, 30/15 simplified to lowest terms is 2/1.
### How do you simplify equivalent fractions?
Sim... |
# How to Calculate Percentage – Change and Difference
Knowing how to compute the level of a number is a major activity for some parts of life. For instance, you might have to know how to compute rate to gauge vehicle installments or decide the initial investment for a home.
Rate estimations are additionally significa... |
# Transition to Advanced Mathematics
#### Math 321
Textbook: Numbers, groups, and codes (Humphreys and Prest), 2nd edition
Times: TuTh 12-1:15
Each homework set is worth the same amount. The top 8 out of 10 homeworks count 2.5% of the course each for a total of 20% for homework. The best out of two midterms counts 4... |
Mathematics 29 Online
OpenStudy (anonymous):
A nursery is selling one kind of grass mixture for $0.75/lbs while another kind is going for$1.10/lbs. How much of each kind would need to be mixed to produce 50 lbs mixture of seeds that will sell for 0.90/lbs. Thanks.
OpenStudy (amistre64):
seed @ .75 = 50(.90 - 1.10)/(... |
dark
# Unit 10 Circles Homework 1 Answer Key
Unit 10 Circles Homework 1 Answer Key: Providing comprehensive solutions for circle-related exercises.
## Introduction
Unit 10 Circles Homework 1 is an important assignment for students studying circles in mathematics. This article aims to provide a detailed answer key t... |
# 2019 AMC 12A Problems/Problem 17
## Problem
Let $s_k$ denote the sum of the $\textit{k}$th powers of the roots of the polynomial $x^3-5x^2+8x-13$. In particular, $s_0=3$, $s_1=5$, and $s_2=9$. Let $a$, $b$, and $c$ be real numbers such that $s_{k+1} = a \, s_k + b \, s_{k-1} + c \, s_{k-2}$ for $k = 2$, $3$, $....$... |
# Fractions Game
Fraction Flip It - A fractions game for multiplying fractions.....
We think you'll enjoy teaching "how to multiply fractions" with this game as much as the kids will enjoy playing!
Fraction Flip It
Skills: Multiplying and or Dividing Fractions
Number of Players: 3 - 5
What You Need: Deck of play... |
# Boolean theorems
The boolean theorems are a set of rules from boolean algebra to simplify logic expressions of combinational circuits.
Boolean algebra is a fundamental mathematical tool for digital computing, where variables and functions have only binary values of “0” or “1”. It was introduced in 1854 by the Briti... |
# Show that $A$ and $A^{-1}$ have same eigenvalues?
If $A$ is a square matrix of order $2$, and determinant of $A$ is $1$, then prove that $A$ and its inverse have the same eigenvalues.
So, let $\lambda_1$ and $\lambda_2$ be the eigenvalues of $A$. Since determinant is $1$, it means $\lambda_1\,\lambda_2 = 1$. What d... |
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# 7.5: Systems of Linear Inequalities
Difficulty Level: At G... |
# Ncert Solutions For Class 8 Maths Ex 11.2
Class 8 Mathematics NCERT questions provided with appropriate solutions will come in handy to revise the Class 8 Maths CBSE syllabus. The textbook is filled with a wide range of exercises including hundreds of questions based on CBSE guidelines. NCERT Solutions for Class 8 M... |
### Ball Packing
If a ball is rolled into the corner of a room how far is its centre from the corner?
### Three Balls
A circle has centre O and angle POR = angle QOR. Construct tangents at P and Q meeting at T. Draw a circle with diameter OT. Do P and Q lie inside, or on, or outside this circle?
### In a Spin
What... |
# 4.3: Confidence intervals
We are ready now to make the first step in the world of inferential statistics and use statistical tests. They were invented to solve the main question of statistical analysis (Figure $$\PageIndex{1}$$): how to estimate anything about population using only its sample? This sounds like a mag... |
# 9.4 Rare events, the sample, decision and conclusion (Page 3/6)
Page 3 / 6
## Try it
It’s a Boy Genetics Labs claim their procedures improve the chances of a boy being born. The results for a test of a single population proportion are as follows:
H 0 : p = 0.50, H a : p >0.50
α = 0.01
p -value = 0.025
Interp... |
# Discrete Mathematics: An Active Approach to Mathematical Reasoning
## Section1.3Introduction to Relations and Functions
We are familiar with the idea of a function from previous math courses. In this class we want to understand functions as an important mathematical tool to relate objects to each other. We are used... |
# 10 Example of Quadratic Equation in Real Life
0 Shares
Our daily lives involve regular use of our mathematical knowledge to solve real-life problems. Just like other mathematical concepts, we unknowingly use quadratic equations to find answers to our questions. here we are going to describe example of quadratic equ... |
# Indeterminate Limits & Expressions
Limit of Functions > Indeterminate Limits & Expressions
Contents:
## What is an Indeterminate Expression?
An indeterminate expression seems to have more than one answer, depending on how you evaluate it.
For example, the limit
Seems to be zero if you use direct substitution: s... |
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# Algebraic Properties Don't Change Anything
Lesson Plans > Mathematics > Algebra > Expressions
## Algebraic Properties Don't Change Anything
This morning, as we were driving to church, T piped up from the back seat, "How long until S's birthday?"
Simultanously, my wife said, "One week," and... |
# Take a picture math solver
Math can be a challenging subject for many learners. But there is support available in the form of Take a picture math solver. We will also look at some example problems and how to approach them.
## The Best Take a picture math solver
This Take a picture math solver provides step-by-step... |
Cheenta
How Cheenta works to ensure student success?
Explore the Back-Story
# Understand the problem
$a_n=\begin{cases} 2+\frac{\{-1\}^{\frac{n-1}{2}}}{n}, & \text{if n is odd}\\ 1+ \frac{1}{2^n}, & \text{if n is even} \end{cases}$ Which of the following is true? (a) sup {$$a_n|n \in \mathbb{N}$$}=3 and inf {$$a_n|... |
# Calculating the Birthday Problem The Other Way Around
As most of you probably know, the birthday problem is about finding the probability that any two people share the same birthday, in a room with N people. Since 23 people in the room is the number more frequently used, let's use it here as well.
On Wikipedia and ... |
Algebra is the study of unknown numbers. With basic arithmetic, individual numbers are added, subtracted, multiplied, divided, and raised to powers or other basic functions. With algebra, however, we start looking at what happens when we compare numbers even though we do not know what specific values they have yet. S... |
## Math Hacks and Tricks: 11 Ways to Make Math Easier
For most people, math is the bane of their existence in the classroom and elsewhere. Many would even brag about their lack of proficiency in the act of making sense of two or more numbers.
It would be fine if numbers were merely a trifle, but math really does make... |
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# Solve the equation: $2{\log _3}x + {\log _3}({x^2} - 3) = {\log _3}0.5 + {5^{{{\log }_5}({{\log }_3}8)}}$
Last updated date: 24th Jul 2024
Total views: 452.7k
Views today: 11.52k
${a^{{{\log }_a}x}} = x$
$\log {m^n} = n\log m$
$\log x{\text{ is... |
York
2021-02-12
Evaluate the following integrals.
${\int }_{-2}^{-1}\sqrt{-4x-{x}^{2}}dx$
### Answer & Explanation
yagombyeR
Step 1: Given that
${\int }_{-2}^{-1}\sqrt{-4x-{x}^{2}}dx$
Step 2: Formula Used
$\int \sqrt{{a}^{2}-{x}^{2}}=\frac{x}{2}\sqrt{{a}^{2}-{x}^{2}}+\frac{{a}^{2}}{2}{\mathrm{sin}}^{-1}\left(\frac... |
+0
# Hello!
0
331
1
+6
Rodger wants to carpet a rectangular room with a length of 8 3/4 feet and a width of 9 1/3 feet. If he has 85 square feet of carpet, how many square feet of carpet will be left after he covers the room?
Aug 28, 2017
#1
+2339
+1
To solve this problem, we must figure out how much square feet ... |
Median formula class 10th
Class 10
Median formula class 10 is included in statistics, to measure of central tendency that is often used to describe the typical value of a set of observations.. The median divides the observations into two halves: half of the observations are smaller than the median, and half are large... |
# Introduction to sequences
0/2
##### Intros
###### Lessons
1. Overview:
2. Notation of Sequences
3. Definitions and theorems of Sequences
0/9
##### Examples
###### Lessons
1. Finding the terms of a sequence
Find the first five terms of the following sequences.
1. $a_n=3(-1)^n$
2. $a_n$= $\frac{n+1}{\sqrt{n+1}}$
3. {... |
# A multiple choice test contains 12 questions, each offering 4 possible answers, only 1 of which is correct. A student knows the correct answer to 7 of the questions but randomly guesses the answers to the remaining 5. What is the probability the student will get at least 10 of the 12 correct?
Since the student is gu... |
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# Decision Maths
Prim`s Algorithm
Wiltshire
## In Lesson 1 we learnt about Kruskal`s algorithm,
which was used to solve minimum connector problems. Another method that can be used is Prim`s algorithm. Step 1 Select any node Step 2 Connect it to the nearest node Step 3 Connect one node al... |
# How do you find the derivative of Arccos(x/2)?
Aug 2, 2016
$\frac{d}{\mathrm{dx}} \left({\cos}^{- 1} \left(\frac{x}{2}\right)\right) = - \frac{1}{\sqrt{4 - {x}^{2}}}$
#### Explanation:
Let's go through the derivation for the general form of the derivative of $\arccos \left(x\right)$
Consider $y = {\cos}^{- 1} \l... |
# Illustrative Mathematics Grade 8, Unit 2, Lesson 10: Meet Slope
Learning Targets:
• I can draw a line on a grid with a given slope.
• I can find the slope of a line on a grid.
Related Pages
Illustrative Math
#### Lesson 10: Meet Slope
Let’s learn about the slope of a line.
Illustrative Math Unit 8.2, Lesson 10 ... |
Sigma notation ninja tricks 2: splitting sums
[Previous posts in this series: jumping constants]
Trick 2: splitting sums
I’ve written about this before, but it’s worth spelling it out for completeness’ sake. If you have a sum of something which is itself a sum, like this:
$\displaystyle \sum (A + B)$
you can split... |
# ADDITION AND SUBTRACTION OF RATIONAL EXPRESSIONS
Addition and Subtraction of Rational Expressions :
Here we are going to how to add or subtract two rational expressions.
Like adding and subtracting two rational numbers, we have two methods to add or subtract two rational expressions.
Addition and Subtraction of R... |
Geometry Tutors
Love making paper airplanes, tangram puzzles, and origami? Geometry is the math behind them all. Students begin learning about geometry when they are taught different shapes and angles and how to create new objects from them. They are still interested even when it is time to learn how to determine how ... |
Russian Peasant Multiplication:
Fun With Binary
by John C. Darrow
(1986 or earlier)
Folklore has it that, in certain Siberian villages, the peasants have never learned to multiply numbers as we do. However, they have developed a method that uses only doubling, halving, and addition of numbers to accomplish multipli... |
Sequences
Sequences - Sequences Lets start off this section with a...
This preview shows pages 1–5. Sign up to view the full content.
Sequences Let’s start off this section with a discussion of just what a sequence is. A sequence is nothing more than a list of numbers written in a specific order. The list may or may... |
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# Find the differential equation of the family of all straight lines passing through the origin.
Last updated date: 09th Aug 2024
Total views: 455.7k
Views today: 12.55k
Verified
455.7k+ views
Hint: First of all, write the equation of the line pa... |
# Q1, W7: September 24th – 28th
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Teacher Felicia Taylor Intensive Math 8th 7 Focus 1: Rational and Irrational Numbers; Focus 2: Solving Multi-Step Equations
Standard(s) Taught
MAFS.8.EE.1.2
#### Use square root and cube root symbols to represent solutions t... |
If you're seeing this message, it means we're having trouble loading external resources on our website.
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
### Course: High school geometry>Unit 9
Lesson 4: Density
# Solid geometry FAQ
## Why do we need... |
Derivative of a function (Differentiation) is that which tells us how much a function changes as its input variable changes. Let y = f(x) be any function then its derivative dy/dx is given by
Where n is a degree of the polynomial.
Derivative Calculator is a online tool to find the derivative of a given function. You ha... |
# What Is A Like Fraction
### What is like fraction with example?
In two or good-natured fractions or a cluster of fractions when the denominator is precisely the identical genuine they are above-mentioned to be resembling fractions. Or you can say that fractions own the identical countless at the bottom. Resembling ... |
# Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that $$\triangle$$ ABC ~ $$\triangle$$ PQR.
## Solution :
Given : $$\triangle$$ ABC and $$\triangle$$ PQR in which AD and PM are the medians, such that
$$AB\over PQ$$ = $$BC\... |
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# Evaluate the following:${\text{tan 3}}{{\text{5}}^ \circ }{\text{ tan 4}}{{\text{0}}^ \circ }{\text{ tan 4}}{{\text{5}}^ \circ }{\text{ tan 5}}{{\text{0}}^ \circ }{\text{ tan 5}}{{\text{5}}^ \circ }$
Last updated date: 21st Jul 2024
Total views... |
Finding the Greatest Common Factor of 2 or 3 Numbers
FINDING THE GREATEST COMMON FACTOR OF $\,2\,$ or $\,3\,$ NUMBERS
• PRACTICE (online exercises and printable worksheets)
Want more details, more exercises? Read the full text!
EXAMPLE:
Question: Find the greatest common factor of $\,27\,$ and $\,18\,$:
Answer: $\,9... |
# Math Assignment Help With Number Lines
## Number Lines
15.1 Introduction: A number line is a line in which real numbers can be placed, according to their value. Each point on a number line corresponds to a real number, and each real number has a unique point that corresponds to it. For example, the number 1.5 (1 1/... |
# Multiply Any Number With 5 And 25 In Just 3 Seconds
## Multiply Any Number With 5 And 25 In Just 3 Seconds
Multiply any number with 5 and 25 in just 3 seconds , I think you are feeling it is impossible, but it is possible,to know how just follow the article
Multiplication with 5:
Let n be the number.In order to m... |
The square root of 2 can never be written exactly as a fraction. In other words,
How can we show this? Here are four proofs.
## Algebra
The usual way is as follows.
• Suppose $\sqrt{2}$ can be written as a fraction:
• $\sqrt{2}=a/b$
• Then $2=a^2/b^2$
• Then $2b^2=a^2$
• Then $a^2$ is even
• Hence $a$ is even
• (Th... |
TEKS Lesson Plan/Unit Plan
• Doc File 70.00KByte
Focus Plan
Texarkana Independent School District
|Grading Period: |Refer to Scope and Sequence |Plan Code: | |
|Writer: |Barbara Fugitt |Course/subject: |Math |
|Grade(s): |Fifth grade |Time allotted for instruction: |3 – 45 minute class periods. |
[pic]
|Titl... |
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# Model Drawing Examples
## Model Drawing Procedure
Developed in Singapore Visual representation of details and actions which assists children with problem solving
Helps children logically think using visual models to determine their computations
## Model Drawing Procedure
Teaches the impor... |
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$... |
# How do you simplify 4^3·4^5?
May 29, 2016
${4}^{3} \cdot {4}^{5} = {4}^{8} = 65536$
#### Explanation:
For positive integer exponents we have:
${x}^{n} = {\overbrace{x \cdot x \cdot . . \cdot x}}^{\text{n times}}$
Hence:
${x}^{m} \cdot {x}^{n} = {\overbrace{x \cdot x \cdot . . \cdot x}}^{\text{m times" * overbr... |
# Auxiliary fraction
Auxiliary fraction
In Swami Bharati Krishna Tirtha's Vedic mathematics, the auxiliary fraction method is used to convert a fraction to its equivalent decimal representation. The "auxiliary fraction" is not a true fraction, but is simply a mnemonic aid used in the calculation. The method is essent... |
## Step by action solution because that calculating 15 is 30 percent that what number
We already have our an initial value 15 and also the second value 30. Let"s i think the unknown value is Y which answer we will discover out.
You are watching: 15 is 30 of what number
As we have all the compelled values us need, cu... |
1. ## Solve the following.
1. 4/x = 5/7
2. 3a/7 = -2/5
3. x+1/6 = 4/3
4. 24/x-3 = 72/x+3
Thanks.
2. I'll only solve the 1st one, I think you can do the rest.
$\displaystyle \frac{4}{x} = \frac{5}{7}$
Multiply both sides by $\displaystyle x$,
$\displaystyle \frac{4}{x}\cdot x = \frac{5}{7}\cdot x$
$\displaysty... |
# Thread: intersection of planes
1. ## intersection of planes
1. The line of intersection of the planes 2x+y-3z=3 and x-2y+z=-1 is L. If L meets the xy plane at Point A and the z-axis at Point B, determine the length of line segment AB.
2. Determine the Cartesian equation of the plane that is parallel to the line wi... |
# Circumference
Calculating the circumference of a circle helps in many ways. Suppose you were building a circular pool with a diameter of 30 feet, and you want to put a decorative border around the outside edge. You'd need to know the length of the border material required to go around the entire pool. To find this, ... |
Sequences and Series Notes Class 11th Maths
0
2582
1. Sequence: Sequence is a function whose domain is a subset of natural numbers. It represents the images of 1, 2, 3,… ,n, as f1, f2, f3, …., fn , where fn = f(n).
2. Real Sequence: A sequence whose range is a subset of R is called a real sequence.
3. Series: If a1... |
# Free Playing with Numbers 02 Practice Test - 8th Grade
123 can be expressed as:
A.
10×1+10×2+10×3
B.
100×1+100×2+100×3
C.
100×1+10×2+1×3
D.
1×1+1×2+1×3
#### SOLUTION
Solution : C
Let the number be abc.
Then the general form of abc will be:
100×a+10×b+1×c
Thus, 123=(100×1)+(10×2)+(1×3)
1000×2+100×3+10×... |
By M. Bourne
We can draw a circle that closely fits nearby points on a local section of a curve, as follows.
### Application of Radius of Curvature
When engineers design train tracks, they need to ensure the curvature of the track will be safe and provide a comfortable ride for the given speed of the trains. [Image ... |
# Приближенное вычисление определенных интегралов. Методы прямоугольников и метод Симпсона
### Содержание работы
кафедра 304
Домашнее задание
по предмету «Численные методы»
## по теме: «Приближенное вычисление определенных интегралов. Методы прямоугольников и метод Симпсона»
Выполнила студентка 325 гр.
Старцева ... |
Given that x5 + ax3 + bx2 − 3 = (x2 − 1) Q(x) x − 2 where Q(x) is a polynomial. State the degree of Q(x) and find the value of a and b. Find also the remainder when Q(x) is divided by x + 2.
Solution
Since $\displaystyle {{x}^{5}}+a{{x}^{3}}+b{{x}^{2}}-3$ is divided by (x2 − 1), Q(x) is a polynomial of degree 3.
$\d... |
# Polar form – General Form, Conversion Rules, and Examples
Polar forms are one of the many ways we can visualize a complex number. They are a way for us to visualize complex numbers on a complex plane as vectors.
A complex number in the polar form will contain a magnitude and an angle to guide us with the complex nu... |
## Section5.4Indeterminate Form & L'Hôpital's Rule
### Subsection5.4.1Indeterminate Forms
Before we embark on introducing one more limit rule, we need to recall a concept from algebra. In your work with functions (see Chapter 2) and limits (see Chapter 4) we sometimes encountered expressions that were undefined, beca... |
# Solving Equations with Variables On Both Sides Worksheet
The Solving Equations with Variables On both sides worksheet can help you and your students become masters of algebra. The worksheet will help your students develop their ability to use the inverse operations and solve equations with variables on both sides. I... |
Prove the following identities, where the angles involved are acute angles for which the expressions are defined.
$$(cosec\; θ – cot \;θ)^2 =\dfrac{(1-cos\; θ)}{(1+cos\; θ)}$$
Asked by Abhisek | 1 year ago | 89
##### Solution :-
To prove this, first take the Left-Hand side (L.H.S) of the given equation, to prove t... |
UPSC > Calculate Cube Roots
# Calculate Cube Roots - CSAT Preparation - UPSC
## Introduction
• We have heard many people saying that there is actually no shortcut to find the cube root of a number. This is not true. In fact, there are ways to quickly, easily and accurately calculate the cube root of a given number... |
Time remaining:
How wide is the alley?
Mathematics Tutor: None Selected Time limit: 1 Day
Say you have a building on each side of a level alley. You place a 10 foot ladder at the base of one building and lean it against the other building. Then you place a 14 foot ladder at the base of the other building and lean it... |
# How do you find the center and radius of the circle x^2-12x+y^2+4y+15=0?
Dec 18, 2016
The center is $\left(6 , - 2\right)$ and the radius $= 5$
#### Explanation:
We complete the squares and rearrange the equation
${x}^{2} - 12 x + {y}^{2} + 4 y = - 15$
${x}^{2} - 12 x + 36 + {y}^{2} + 4 y + 4 = - 15 + 36 + 4$
... |
DISCOVER
# An easy way to learn times tables
Updated April 17, 2017
Multiplication times tables present a challenge to some people, as those who are less mathematically inclined rack their brains trying to find ways to memorise answers. If you have trouble with times tables, the following tricks will help you memori... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
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# Division of Decimals by Decimals
## Making the divisor a whole number
0%
Progress
Practice Division of Deci... |
### Percentage: Formulas, Tricks, Examples
Percentage is a way of expressing a number, especially a ratio, as a fraction of 100. The word is derived from the Latin per centum meaning ‘by the hundred’. It is often denoted using the percent sign, ‘%’, or the abbreviation ‘pct.’ For example, 35% (read as ‘thirty-five per... |
# Proposition: 1.25: Angles and Sides in a Triangle IV
### (Proposition 25 from Book 1 of Euclid's “Elements”)
If two triangles have two sides equal to two sides, respectively, but (one) has a base greater than the base (of the other), then (the former triangle) will also have the angle encompassed by the equal strai... |
1.
$$\sqrt{{x}^{2}}$$
Solución
2.
$$\sqrt{162}$$
Solución
3.
$$\sqrt{720}$$
Solución
4.
$$\frac{\sqrt{20}}{2}$$
Solución
5.
$$\frac{\sqrt{1.44}}{2}$$
Solución
6.
$$\sqrt{{(2\times 3)}^{2}-4\times {3}^{2}}$$
Solución
7.
$${25}^{0.5}$$
Solución
8.
$$\sqrt[3]{64}$$
Solución
9.
$$\sqrt[3]{125}$$
Solución
10.
$$\sqrt[3]{4}\... |
# 11.1 Systems of linear equations: two variables (Page 7/20)
Page 7 / 20
Meal tickets at the circus cost $\text{\hspace{0.17em}}\text{}4.00\text{\hspace{0.17em}}$ for children and $\text{\hspace{0.17em}}\text{}12.00\text{\hspace{0.17em}}$ for adults. If $\text{\hspace{0.17em}}1,650\text{\hspace{0.17em}}$ meal tick... |
# How do you get a vector from the magnitude? My teacher said that you should know how to change a magnitude to a vector, but I have no idea how to do it! Please give me an example with explanation!
krishna-agrawala | Student
I do not know in what context your teacher was talking about changing magnitude to a vector... |
Question Video: Determining the Limit of a Function from Its Graph at a Point of Jump Discontinuity | Nagwa Question Video: Determining the Limit of a Function from Its Graph at a Point of Jump Discontinuity | Nagwa
# Question Video: Determining the Limit of a Function from Its Graph at a Point of Jump Discontinuity M... |
# PROPERTIES OF PARALLELOGRAMS WORKSHEET
Problem 1 :
In the parallelogram given below, find ∠B, ∠C and ∠D.
Problem 2 :
In the parallelogram ABCD given below, find ∠A, ∠B, ∠C and ∠D.
Problem 3 :
In the parallelogram given below, find the measures of ∠ABO and ∠ACB.
Problem 4 :
The perimeter of the parallelogram A... |
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