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# It takes 3/5 feet of ribbon to make a pin. You have 9 feet of ribbon. How many pins can you make?
Dec 8, 2016
$15$.
#### Explanation:
We have $9$ feet of ribbon to be cut into pieces measuring $\frac{3}{5}$ foot each. To find out how many pieces $\left(x\right)$ we can get, we divide the total length by the lengt... |
# How Do You Prove Continuity?
## How do you prove continuity over an interval?
A function is said to be continuous on an interval when the function is defined at every point on that interval and undergoes no interruptions, jumps, or breaks.
If some function f(x) satisfies these criteria from x=a to x=b, for example... |
# what is the least common multiple of 3 and 9
LCM of 3 and 9LCM of 3 and 9 is the smallest of all common multiples of 3 and 9. The first multiples of 3 and 9 are (3, 6, 9, 12, 15,…) and ( 9, 18, 27, 36, 45, 54, 63,…). There are 3 commonly used methods to find the LCM of 3 and 9 – by division, by prime factors, and by... |
# Question Video: Adding and Converting Decimal Numbers to Mixed Numbers Mathematics • 5th Grade
The given table shows the quantities of some ingredients used to bake a cake. What is the total weight of the ingredients as a mixed number?
01:58
### Video Transcript
The given table shows the quantities of some ingred... |
# How do you find the quotient of four-ninths divided by eight?
Mar 7, 2018
See a solution process below;
#### Explanation:
We can write this problem as:
$\frac{\frac{4}{9}}{8}$ which can be rewritten as: $\frac{\frac{4}{9}}{\frac{8}{1}}$
We can then use this rule for dividing fractions to evaluate the expression... |
# 12 Surface Area and Volume
Size: px
Start display at page:
Transcription
1 12 Surface Area and Volume 12.1 Three-Dimensional Figures 12.2 Surface Areas of Prisms and Cylinders 12.3 Surface Areas of Pyramids and Cones 12.4 Volumes of Prisms and Cylinders 12.5 Volumes of Pyramids and Cones 12.6 Surface Areas and Vol... |
# Positive and Negative Numbers
## Presentation on theme: "Positive and Negative Numbers"— Presentation transcript:
Positive and Negative Numbers
by Monica Yuskaitis
Definition Positive number – a number greater than zero. 1 2 3 4 5 6
Definition Negative number – a number less than zero. -6 -5 -4 -3 -2 -1 1 2 3 4 5... |
# How do you integrate int (4x)/sqrt(x^2-14x+45)dx using trigonometric substitution?
Feb 29, 2016
$4 \sqrt{{\left(\frac{x - 7}{2}\right)}^{2} + 1} + 7 {\cosh}^{-} 1 \left(\frac{x - 7}{2}\right) + C$
#### Explanation:
We can begin by taking ${x}^{2} - 14 x + 45$ an re writing it in in completed square/ vertex form g... |
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# 5.1 Using the Mean Value Theorem
In the previous unit, we learned all about applying derivatives to different real-world contexts. What else are derivatives useful for? Turns out, we can also use derivatives to determine and analyze the behaviors o... |
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# AA Similarity
## Two triangles are similar if two pairs of angles are congruent.
0%
Progress
Practice AA Similarity
Progress
0%
AA Similarity
What if you were given a pair of triangl... |
# Where is the mistake in the calculation of $y'$ if $y = \Bigl( \dfrac{x^2+1}{x^2-1} \Bigr)^{1/4}$?
Plase take a look here.
If $y = \Bigl( \dfrac{x^2+1}{x^2-1} \Bigr)^{1/4}$
\begin{eqnarray} y'&=& \dfrac{1}{4} \Bigl( \dfrac{x^2+1}{x^2-1} \Bigr)^{-3/4} \left \{ \dfrac{2x(x^2-1) - 2x(x^2+1) }{(x^2-1)^2} \right \}\\ &... |
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# Square Prism
Reviewed by:
Last updated date: 06th Sep 2024
Total views: 397.5k
Views today: 10.97k
## Square Based Prism
As per the square prism definition, it is a three-dimensional geometric solid object that has a base of a square. In a sq... |
Uploaded by David Pinto
# Fraction review & summary
advertisement
```Middle School Math Huddle
Fractions Review & Summary
Factors and Multiples
1∙12
2∙6
3∙4
The key to fractions is understanding factors and multiples.
12______
12
24
36
______18______
1∙18
18
2∙9
36
3∙6
54
The GCF of 12 and 18 is 6
The LCM of 12 a... |
# Holt CA Course 1 11-4 Solving Equations with Variables on Both Sides Preview of Algebra 1 5.0 Students solve multistep problems, including word problems,
## Presentation on theme: "Holt CA Course 1 11-4 Solving Equations with Variables on Both Sides Preview of Algebra 1 5.0 Students solve multistep problems, includi... |
# Properties of 0° Right triangle
There are three fundamental properties of a right triangle when its angle is zero degrees.
1. The length of opposite side is zero.
2. The lengths of adjacent side and hypotenuse are equal.
3. The angle of right angled triangle is zero and the other two angles are right angles.
## Th... |
## Thinking Mathematically (6th Edition)
Base five Numeral is ${{12344}_{\text{five}}}$
First write the given Roman numeral as Hindu Arabian Numeral CMLXXIV$\,=\left( 1000-100 \right)+\left( 50+10 \right)+10+\left( 5-1 \right)=974$ Now let’s find out the base five numeral using base ten Hindu Arabic numeral, The Place... |
# Linear Functions
The Linear Function provides a convenient method to determine behavior of a sloping straight line on a Cartesian Coordinate System before drawing a graph using rectangular coordinates. It is function math for a Linear Equation.
y = 0 = 2x + 3 then
x = −3/2
The Linear Function defines sloped strai... |
# A triangle has sides A,B, and C. If the angle between sides A and B is (7pi)/8, the angle between sides B and C is pi/12, and the length of B is 12, what is the area of the triangle?
Apr 7, 2018
color(green)("Area of " Delta " " A_t = 54.62 " sq units"
#### Explanation:
$\hat{A} = \frac{\pi}{12} , \hat{C} = \frac... |
# Quick Answer: What Is The Rule For Adding Two Negative Numbers?
## What is a negative times a positive?
Rule 2: A negative number times a positive number equals a negative number.
When you multiply a negative number to a positive number, your answer is a negative number.
It doesn’t matter which order the positive... |
# SAT Practice Test 3, Section 8: Questions 11 - 16
This is for SAT in Jan 2016 or before.
The following are worked solutions for the questions in the math sections of the SAT Practice Tests found in the The Official SAT Study Guide Second Edition.
It would be best that you go through the SAT practice test questions... |
# Video: Finding a Volume of Revolution About the π₯-Axis Using the Washer Method
The region π in the figure shown is bounded by π¦ = βsec (π₯) and π¦ = β3. What is the volume of the solid formed when π is rotated about the π₯-axis?
06:18
### Video Transcript
The region π in the figure shown ... |
# Question 3e542
Aug 30, 2016
The Curves intersect at two pts., $O \left(0 , 0\right) , \mathmr{and} , A \left(1 , 5\right)$
At $O$, the $X$-axis is their common tgt, &, hence, the $\angle$ btwn them is ${0}^{\circ}$.
At $A$, the $\angle$ btwn them is ${1.8965}^{\circ}$.
#### Explanation:
Let the curves be ${C}_{... |
# Boundary|Definition & Meaning
## Definition
A boundary is a line that outlines an object’s shape or a polygon. The total length of the boundary is called the perimeter. The boundary is different for all shapes.
A boundary allows us to identify the shape of an object or image and is necessary for separating one sha... |
# Thread: Arithmatic Progression Word Problem
1. ## Arithmatic Progression Word Problem
1) Find three numbers in A.P such that their sum is 21 and sum of their product is 280.
2) Also, what the general idea for assuming "any set of numbers" required by the condition?
For eg. if the problem demands four numbers, the... |
# Class 12 Maths MCQ – Evaluation of Definite Integrals by Substitution
This set of Class 12 Maths Chapter 7 Multiple Choice Questions & Answers (MCQs) focuses on “Evaluation of Definite Integrals by Substitution”.
1. Evaluate the integral $$\int_0^{\frac{π^2}{4}} \frac{9 sin\sqrt{x}}{2\sqrt{x}} dx$$.
a) 9
b) -9
c) ... |
# multiplying 54 results
multiplying - to increase in number especially greatly or in multiples
1 multiplied by b squared multiplied by c squared
1 multiplied by b squared multiplied by c squared b squared means we raise b to the power of 2: b^2 c squared means we raise c to the power of 2: c^2 b squared multiplied ... |
8.1: Trigonometric Ratios:
This branch of mathematics helps us in finding height of tall buildings, height of temples, width of river, height of mountains, towers etc without actually measuring them. In the lesson 8.3 we will be solving few problems related to these.Different branches of Engineering use trigonometry... |
FutureStarr
A 2 Out of 16 As a Percentage
2 Out of 16 As a Percentage
via GIPHY
I was trying to figure out what to wear and had about 3 outfits. When I got the auto-suggestions, my first response was “2 out of 16? That must be a coincidence”. I was wrong.
Percentage
I've seen a lot of students get confused whenev... |
# Video: Using the Operators of Vectors and Dot Product Between them to Find the Value of an Expression
03:31
### Video Transcript
Find the value of the magnitude of π¨ cross π© squared plus the magnitude of π¨ dot π© squared divided by two times the magnitude of π¨ squared times the magnitude of π© squa... |
# How do you simplify (9sqrt25)/sqrt50?
Apr 27, 2018
$\frac{9}{\sqrt{2}}$
#### Explanation:
$\frac{9 \sqrt{25}}{\sqrt{50}}$
$= \frac{9 \times 5}{\sqrt{50}}$
$\sqrt{50}$ can be simplified to $\sqrt{25 \times 2} = 5 \sqrt{2}$
$\frac{45}{5 \sqrt{2}}$
= $\frac{9}{\sqrt{2}}$
Apr 27, 2018
$\frac{9 \sqrt{2}}{2}$
##... |
# Conjugate Surds: Definition, Examples, Properties
In this section, we will discuss about conjugate surds. For the basics of surds, please visit the page an introduction to surds.
## Definition of Conjugate Surds
Mathematically, if x=a+√b where a and b are rational numbers but √b is an irrational number, then a-√b ... |
# What is a formula that demonstrates the law of multiple proportions?
Apr 21, 2014
You need two formulas to illustrate the Law of Multiple Proportions, for example, $\text{CO}$ and ${\text{CO}}_{2}$.
#### Explanation:
The Law of Multiple Proportions deals with elements that form more than one compound.
It states ... |
Paul's Online Notes
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Question
Solve the equations: x – y = −1 and 2y+3x = 12 using a graphical method.
Hint- We should be remembering that the graph of a line represents every point that is a possible solution for the equation of that line. So when the graphs of two equations cross, the point of intersection lies on both lines, meani... |
Mean and Variance
Go back to 'Probability'
It is in most cases very useful to talk about the mean of a random variable X. For example, in the experiment above of four tosses of a coin, someone might want to know the average number of heads obtained. Now the reader may wonder about what meaning to attach to the phras... |
# Thread: log deriv.
1. ## log deriv.
Use logarithmic differentiation to find the derivative of the function.
y = x^sinx
How do you do this? Help please.
2. Originally Posted by kwivo
Use logarithmic differentiation to find the derivative of the function.
y = x^sinx
How do you do this? Help please.
begin by taking... |
# Circular arc
A circular arc is the arc of a circle between a pair of distinct points. If the two points are not directly opposite each other, one of these arcs, the minor arc, subtends an angle at the center of the circle that is less than π radians (180 degrees); and the other arc, the major arc, subtends an angle ... |
This is also sometimes called “subtraction using a blank numberline” and I’ve even heard it called “that nonsensical modern method”. This latter is a real misnomer since it is neither nonsensical nor modern. In fact it’s a method that dates back to before I was born, in days before we had calculators and electronic til... |
# Class 9 Maths Chapter 11 Constructions
NCERT Solutions for Class 9 Maths Chapter 11 Constructions.
Exercise 11.1
Question 1.
Construct an angle of 90° at the initial point of a given ray and justify the construction.
Solution:
Steprf of Construction:
Step I : Draw .
Step II : Taking O as centre and having a suitabl... |
# FREE 5th Grade MEAP Math Practice Test
Welcome to our FREE 5th Grade MEAP Math practice test, with answer key and answer explanations. This practice test’s realistic format and high-quality practice questions can help your student succeed on the 5th Grade MEAP Math test. Not only does the test closely match what stu... |
# How to Find The Distance Between Two Points On a Curve
Print
Many students have difficulty finding the distance between two points on a straight line, it is more challenging for them when they have to find the distance between two points along a curve. This article, by the way of an example problem will show how to... |
# 2006 AMC 10B Problems/Problem 11
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem
What is the tens digit in the sum $7!+8!+9!+...+2006!$
$\textbf{(A) } 1\qquad \textbf{(B) } 3\qquad \textbf{(C) } 4\qquad \textbf{(D) } 6\qquad \textbf{(E) } 9$
## Solution
Since $10!$ is divis... |
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# From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. Take $\left( {\pi = 3.14} \right)$
Last updated date: 22nd May 2024
Total views: 433.2k
Views today: 12.33k
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433.2k+ views
H... |
## 6.6 Example: How Many Numbers Needed?
Let us pause for a review.
So far our examples have involved estimating a probability: the chance for a particular event to occur. We have accomplished this with Monte Carlo simulation:
• We repeated the chance process a very large number of times
• On each repetition, we rec... |
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### Course: Arithmetic>Unit 15
Lesson 5: Dividing fractions by fractions
# Dividing fractions: 2/... |
## How do you use a number line to put integers from greatest to least?
How would you use a number line to put integers in order from greatest to least? A Graph the integers, then read themfrom left to right. B Graph the integers, then read them from right to left. C Graph the absolute values of the integers, then rea... |
# How To Find Domain And Range Of A Circle
## Introduction
How To Find Domain And Range Of A Circle: Finding the domain and range of a circle involves determining the set of possible input and output values that the circle’s equation represents. The domain represents the set of x-values that correspond to valid point... |
# How to Find the Diameter and Exact Center of a Circle
For many kinds of do-it-yourself repair and building projects you need to find the exact center and diameter of a circular component. The geometric center of a circle is its center of gravity, while the diameter of the circle gives the widest width and allows you... |
# Area of a Triangle by formula (Coordinate Geometry)
Given the coordinates of the three vertices of a triangle ABC, the area can be foiund by the formula below.
Try this Drag any point A,B,C. The area of the triangle ABC is continuously recalculated using the above formula. You can also drag the origin point at (0,0)... |
# Proving recursive function via mathematical induction (EASY, but need a boost)
• Nov 11th 2012, 06:30 PM
Proving recursive function via mathematical induction (EASY, but need a boost)
This was a sample problem discussed in class that I already have the solution to, but I am having trouble understanding the highlight... |
# Real Numbers Ex-1.4 Ch-1 [Solutions] NCERT Maths Class 10th
Exercise 1.4
Q1. Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal
expansion:
(i) 13/3125
(ii) 17/8
(iii) 64/455
(iv) 15/1600
(v) 29/... |
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# 1.8: Right Triangle Trigonometry
Difficulty Level: At Grade Created by: CK-12
Pacing
Day 1 Day 2 Day 3 Day 4 Day 5
The Pythagorean Theorem
Investigation 8-1
The Pythagorean Theore... |
# Finding Determinants
## Matrix -> Determinants -> Finding Determinants
Determinants are an important concept in linear algebra, particularly when working with matrices. In this tutorial, we will explore how to find determinants of matrices. We will cover the theory behind determinants, the steps involved in finding... |
# Make the Smallest and Largest Three-Digit Numbers
In this worksheet, students will be given five digits from which they must identify the smallest and largest three-digit numbers.
Key stage: KS 2
Curriculum topic: Number: Number and Place Value
Curriculum subtopic: Order/Compare Numbers to 1000
Difficulty l... |
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# Find the solution of the equation given below $\operatorname{Sin} {10^0} + \operatorname{Sin} {20^0} + \operatorname{Sin} {30^0} + ............ + \operatorname{Sin} {360^0}$
Last updated date: 17th Jul 2024
Total views: 451.2k
Views today: 7.51... |
## Engage NY Eureka Math 8th Grade Module 1 Lesson 8 Answer Key
### Eureka Math Grade 8 Module 1 Lesson 8 Example Answer Key
Example 1.
In 1723, the population of New York City was approximately 7,248. By 1870, almost 150 years later, the population had grown to 942,292. We want to determine approximately how many ti... |
# Powers of 10
When we talked about exponents, we said that raising $a$ to $b$-th power is $a^b=\underbrace{a\cdot a\cdot a\cdot a\cdot...\cdot a}_{b}$.
$a$ is called base, $b$ is exponent (power).
We assumed that $b$ is positive integer.
Here we will talk about special case $10^b$, i.e. when the base equals $10$.
... |
How To Divide The Circle Into 5 Parts | The Science
The Science
# How to divide the circle into 5 parts
Circumferential length can not be accurately measured with a ruler, and therefore its division into equal parts is not an easy task, especially when these parts is an odd number. Divide the circle into five parts ... |
# How do you solve 8(x-3)=96 using the distributive property?
Nov 19, 2017
x = 15
#### Explanation:
Given
$8 \left(x - 3\right) = 96$
Solve for x
1) Clear the parentheses by distributing the 8
$8 x - 24 = 96$
2) Add 24 to both sides to isolate the $8 x$ term
$8 x = 120$
3) Divide both sides by 8 to isolate $x$
$... |
# 6-3 Warm Up Problem of the Day Lesson Presentation
## Presentation on theme: "6-3 Warm Up Problem of the Day Lesson Presentation"— Presentation transcript:
6-3 Warm Up Problem of the Day Lesson Presentation
The Pythagorean Theorem Warm Up Problem of the Day Lesson Presentation Pre-Algebra
Pre-Algebra 6-3 The Pytha... |
# What is the formula for finding terms in an arithmetic sequence?
## What is the formula for finding terms in an arithmetic sequence?
Finding the number of terms in an arithmetic sequence might sound like a complex task, but it’s actually pretty straightforward. All you need to do is plug the given values into the f... |
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# Class 10 NCERT Solutions- Chapter 6 Triangles – Exercise 6.3 | Set 2
### Question 11. In the following figure, E is a point on side CB produced of an isosceles triangle ABC with AB = AC. If AD ⊥ BC and EF ⊥ AC, prove that ΔABD ~ ΔECF.
Solution:
Given, ABC is an isoscele... |
# Lesson Video: Quadratic Functions in Different Forms Mathematics • 9th Grade
In this video, we will learn how to evaluate and write a quadratic function in different forms.
17:39
### Video Transcript
In this video, we will learn how to evaluate and write a quadratic function in different forms.
We recall, firstl... |
Math Access for Teachers and Home Child Care Providers
In a partnered game, children will flip a penny and collect points
depending on whether the penny lands heads up or tails up.
Content Area Standard Target
• Data Analysis and Probability
• Formulate questions that can be addressed with data and collect, organize,... |
Conic Sections
Circle and Line
Line circle intersection
A line and a circle in a plane can have one of the three positions in relation to each other, depending on the distance d of the center S(p, q) of the circle (x - p)2 + (y - q)2 = rfrom the line Ax + By + C = 0, where the formula for the distance:
If the distanc... |
Home » Math Theory » Decimals » Dividing with decimals
Note: this page contains legacy resources that are no longer supported. You are free to continue using these materials but we can only support our current worksheets, available as part of our membership offering.
Dividing with decimals
When students are first in... |
# What is the HCF of 630?
## What is the HCF of 630?
HCF of 630,1188 by prime factorization it’s answer is a 6.
What are the factors of 315?
Factors of 315
• All Factors of 315: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105 and 315.
• Prime Factors of 315: 3, 5, 7.
• Prime Factorization of 315: 32 × 51 × 71
• Sum of Fact... |
# Unit -2: Relation and Function
Let’s start by saying that a relation is simply a set or collection of ordered pairs. Nothing really special about it. An ordered pair, commonly known as a point, has two components which are the x and y coordinates.
This is an example of an ordered pair.
## Main Ideas and Ways How t... |
Applied Discrete Structures
Section1.2Basic Set Operations
Subsection1.2.1Definitions
Definition1.2.1.Intersection.
Let $$A$$ and $$B$$ be sets. The intersection of $$A$$ and $$B$$ (denoted by $$A \cap B$$) is the set of all elements that are in both $$A$$ and $$B\text{.}$$ That is, $$A \cap B = \{x:x \in A \textrm... |
# Can be divided into?
Can be Divided Into: A Comprehensive Guide
Division is a fundamental mathematical operation that involves breaking down a whole into equal parts or groups. It is a crucial concept that can be applied in various areas of life, from sharing food among friends to analyzing data in business. In thi... |
# Line Charts
Line Graph is the innovative version of Bar Graph representation. If we connect the upper point of the first Bar to the upper point of the second Bar and then tie these dots, we will get a line. Repeating the procedure gives us the Line Graph representation. Line graph and bar graph are easy to comprehen... |
Algebra and Trigonometry
# 10.6Parametric Equations
Algebra and Trigonometry10.6 Parametric Equations
## Learning Objectives
In this section, you will:
• Parameterize a curve.
• Eliminate the parameter.
• Find a rectangular equation for a curve defined parametrically.
• Find parametric equations for curves defined... |
how to find the missing side of a right triangle
When we know 2 sides of the right triangle, use the Pythagorean theorem. Finding the length of a side of a non right angled triangle. Law of Sines $$\frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}$$ Examples: Law of sines. Such a triangle can be solved by using A... |
# A Guide To Completing The Square
This article will be about the algebra technique called completing the square. This technique is useful for finding the vertex form of a quadratic equation.
Prerequisites
One should be comfortable with arithmetic and algebra techniques such as factoring and expanding.
What Is Comp... |
Question
1. # If (X – 2K) Is A Factor Of F(X), Which Of The Following Must Be True?
When it comes to studying mathematics, there are certain topics that can cause confusion and can be difficult to understand. One such concept is factorization – the process of breaking down a polynomial into its constituent factors. T... |
Plotting points on a coordinate plane worksheet pdf in coordinate geometry is available here. In the worksheet on plotting points in the coordinate plane, the students can learn how to plot the points on graph paper. Practice plotting points on a coordinate plane worksheet answers help you to identify axes, quadrants, ... |
# Show that
Question:
$x \frac{d y}{d x}-y+x \sin \left(\frac{y}{x}\right)=0$
Solution:
$x \frac{d y}{d x}-y+x \sin \left(\frac{y}{x}\right)=0$
$\Rightarrow x \frac{d y}{d x}=y-x \sin \left(\frac{y}{x}\right)$
$\Rightarrow \frac{d y}{d x}=\frac{y-x \sin \left(\frac{y}{x}\right)}{x}$ ...(1)
Let $F(x,... |
# What is 1/375 as a decimal?
## Solution and how to convert 1 / 375 into a decimal
1 / 375 = 0.003
1/375 converted into 0.003 begins with understanding long division and which variation brings more clarity to a situation. Both are used to handle numbers less than one or between whole numbers, known as integers. Dep... |
AP State Syllabus AP Board 6th Class Maths Solutions Chapter 11 Perimeter and Area Ex 11.1 Textbook Questions and Answers.
## AP State Syllabus 6th Class Maths Solutions 11th Lesson Perimeter and Area Ex 11.1
Question 1.
Find the perimeters of the following figures.
i) Check whether the perimeter of Δ XYZ = 3 x Leng... |
# How do you know if a number is a power of two?
## How do you know if a number is a power of two?
Method-2: Keep dividing by 2 Keep dividing the number by two, i.e, do n = n/2 iteratively until n becomes 1. In any iteration, if n%2 becomes non-zero and n is not 1 then n is not a power of 2. If n becomes 1 then it is... |
# Quadratic Equation – Exercise 9.6 – Class X
So far we have learnt to find the roots of given quadratic equations by different methods. We see that the roots are all real numbers.
Is it possible to determine the nature of roots of a given quadratic equation, without actually finding them? Now, let us learn about thi... |
# How do you solve the following system?: 4x-y=-1 , 4x-3y=15
Dec 23, 2015
The solution for the system of equations is
color(blue)(x=-9/4,y=-8
#### Explanation:
$\textcolor{b l u e}{4 x} - y = - 1$.......equation $\left(1\right)$
$\textcolor{b l u e}{4 x} - 3 y = 15$.........equation $\left(2\right)$
Solving by el... |
# How to find median of discrete frequency distriburion and continuous frequency distribution andFurther how to find m.d.(m) in discreate frquency and in continuous frequency distributiotion
Example-
Class - - - - - Frequency
0-10 - - - - - - - -10
10-40 - - - - - - -15
40-50 - - - - - - -5
50-70 - - - - - - -5
... |
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# Geometric Figures and Straight Lines
Straight lines are key to recognizing shapes that we often see in the real world: geometric figures.
In today’s post, we will classify geometric figures formed from straight lines and think about where... |
## Monday, March 5, 2007
### 9.2 Arithmetic Sequences and Partial Sums
9.2 Arithmetic Sequences and Partial Sums
Arithmetic Sequences - a sequence whose consecutive terms have a common difference
A. Definition of Arithmetic Sequences:
A sequence is arithmetic if the differences between consecutive terms are the sam... |
# A convex mirror used as a rear-view mirror in a car has a radius of curvature of 3 m. If a bus is located at a distance of 5 m from this mirror, find the position of image. What is the nature of the image?
Given:
The mirror is convex.
Distance of the object from the mirror, $u$ = $-$5 m
Radius of curvature of the... |
# Question #b8d66
Feb 6, 2018
$y = 4$
$x = 2$
#### Explanation:
If $4 x - 2 y = 0$ and $4 x + y = 12$, then:
$4 x - 4 x + y - \left(- 2 y\right) = 12 - 0$
$\implies 0 x + y + 2 y = 12$
$\implies 3 y = 12$
$\implies y = 4$
Since
$4 x + y = 12$
we get that
$4 x + 4 = 12$
$\implies 4 x = 12 - 4$
$\implies 4... |
# RD SHARMA Solutions for Class 10 Maths Chapter 8 - Circles
Page / Exercise
## Chapter 8 - Circles Exercise Ex. 8.2
Question 24
A is a point at a distance 13 cm from the centre O of a circle of radius 5 cm. AP and AQ are the tangents to the circle at P and Q. If a tangent BC is drawn at a point R lying on the mino... |
# How to Graph ln(x)
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# Equivalent Expressions?
Alignments to Content Standards: 7.EE.A
If we multiply $\frac{x}{2} + \frac34$ by 4, we get $2x+3$. Is $2x+3$ an equivalent expression to $\frac{x}{2} + \frac34$?
## IM Commentary
The purpose of this task is to directly address a common misconception held by many students ... |
Home » What is a Probability Distribution Table? (Definition & Example)
# What is a Probability Distribution Table? (Definition & Example)
A probability distribution table is a table that displays the probability that a random variable takes on certain values.
For example, the following probability distribution tab... |
# If the sum of first four terms of an A.P. is 40 and that of first 14 terms is 280. Find the sum of its first n terms.
Given:
The sum of first four terms of an A.P. is 40 and that of first 14 terms is 280.
To do:
We have to find the sum of its first $n$ terms.
Solution:
Let the first term be $a$ and the common d... |
# Year Five Mathematics Worksheets
Place value is a fundamental concept in mathematics and is essential for understanding numbers and how they work. Place value refers to the value of a digit in a number based on its position. In this article, we will focus on place value up to thousandths.
Ones: The first place valu... |
# A-level Mathematics/OCR/C2/Sequences and Series
## Definitions
A sequence is simply a list of numbers in a particular order. We call these numbers the terms of the sequence. For instance, 2,4,6,8 are the first four terms in the sequence of even positive integers. When we take the sum of the terms in a sequence, we ... |
# Difference between revisions of "2007 AMC 10A Problems/Problem 15"
Three circles are inscribed in a rectangle of width w and height h as shown. Two of the circles are congruent and are each tangent to two adjacent sides of the rectangle and to each other. The other circle is larger and is tangent to three sides of t... |
Boxing Pythagoras
On the Pythagorean Theorem
In right-angled triangles, the square on the side subtending the right-angle is equal to the (sum of the) squares on the sides containing the right-angle.
Euclid’s Elements, Book 1, Proposition 47 (R. Fitzpatrick, trans.)
Figure 1: A right triangle with squares on its si... |
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# Handling Data 3 (Difficult)
Calculating the average value from a set of data is an important part of data handling, and you need to be familiar with it if you want to do well in your Eleven Plus... |
# Quantitative Aptitude Questions for IBPS Exam Set – 27
Hello Aspirants. Welcome to Online Quantitative Aptitude section in AffairsCloud.com. Here we are creating question sample From all topics , which are Important for upcoming IBPS and RRB exams. We have included Some questions that are repeatedly asked in exams.
... |
# An isosceles triangle has sides A, B, and C, such that sides A and B have the same length. Side C has a length of 8 and the triangle has an area of 64 . What are the lengths of sides A and B?
Mar 8, 2018
Side color(brown)(a = b = 16.49 units
#### Explanation:
A median if triangle divides it in 2 triangles of equ... |
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