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# Difference between revisions of "Law of Sines"
The Law of Sines is a useful identity in a triangle, which, along with the law of cosines and the law of tangents can be used to determine sides and angles. The law of sines can also be used to determine the circumradius, another useful function.
## Theorem
In triangl... |
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In these lessons, we will learn how to usage a calculator to discover the trigonometric value of one angle.
You are watching: How to put cot in calculator
Related PagesLessons ~ above TrigonometryInverse trigonometry Trigonometry Worksheets
We can exploit a scientific calculator to attain the trigonometric worth of ... |
# Teaching Circumference and Diameter of a Circle
• Author:
• Updated date:
I am a former maths teacher and owner of DoingMaths. I love writing about maths, its applications, and fun mathematical facts.
## Circumference of a circle lesson
Introducing a class to circle circumferences and pi is an opportunity for som... |
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# A flagstaff stands on the top of a 5m high tower. From a point on the ground, the angle of elevation on the top of the flagstaff is 60° and from the same point, the angle of elevation of the top of the top of the tower is 45°. Find the height of... |
# Cutting a cake into $2$ pieces of equal area
You have a large rectangular cake, and someone cuts out a smaller rectangular piece from the middle of the cake at a random size, angle and position in the cake (see the picture below). Without knowing the dimensions of either rectangle, using one straight (vertical) cut,... |
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# 2 cubes each of volume $64\ cm^3$ are joined end to end. Find the surface area of the resulting cuboid."
Given:
Two cubes, each of volume $64\ cm^3$ are joined end to end.
To do:
We have to find the surface area of the resulting cuboid.
Solution:
Volume of each cube $= 64\ cm^3$
This implies,
Edge of th... |
# 5555 in Words
5555 in words is given by Five Thousand Five Hundred Fifty-Five. For instance, if you donated Rs. 5555 for the education of blind children, then you can say, “I donated Rupees Five Thousand Five Hundred Fifty-Five for the education of blind children”. 5555 is a cardinal number. The number 5555 is 55 mo... |
# How do I find the magnitude and direction angle of the vector v =6i-6j?
May 6, 2018
The magnitude of $v$ is $| \vec{v} | = 6 \sqrt{2}$ and the direction angle $\theta$ is $\theta = - {45}^{\circ}$.
#### Explanation:
In this answer, we'll define the direction angle to be $\theta$ and the magnitude of the vector to... |
# 2.3 graphing linear equations in slope-intercept...
of 6 /6
58 Chapter 2 Graphing and Writing Linear Equations 2.3 Graphing Linear Equations in Slope-Intercept Form 2.3 How can you describe the graph of the equation y = mx + b? Work with a partner. Graph the equation. Find the slope of the line. Find the point where... |
## conditional probability examples and solutions
Solution: P(Second|First) = P(First and Second) = 0.25 = 0.60 = 60%: P(First) 0.42: Let's look at some other problems in which we are asked to find a conditional probability. Pawan goes to a cafeteria. Solution to Example 1 Let us call the first box B1 and the second b... |
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Main content
### Course: Algebra (all content)>Unit 7
Lesson 24: Determining the range of a funct... |
Parabolas Lesson 8 (Teachers)
Exploring Parabolas with Vertex (h, k)
Sasha and Keoni use a GeoGebra applet to move parabolas to the left, right, up, and down. Then they develop equations for several different parabolas where the vertex is not at the origin.
Episode 1: Making Sense
Sasha and Keoni make sense of para... |
Marisa Laks THE GLOBAL LEARNING COLLABORATIVE, NEW YORK, NY
Geometry : Unit #4 - Rigid Motions : Lesson #2
# Congruent Triangles Based on Rigid Motions
Objective: SWBAT Use rigid motions to decide if two triangles are congruent.
Standards: HSG-CO.B.6 MP7
Subject(s): Math
60 minutes
1 Do Now - 5 minutes
As students w... |
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### Question of the Day
In how many ways can you draw a card from a standard deck of 52? In how many ways can you draw a pair of cards from a standard deck of 52? In how many ways can you draw three cards from a de... |
The home of mathematics education in New Zealand.
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## Doubling and halving
These activities are designed to teach doubling and halving strategies.
Multiplication and division, AM (Stage 7)
## Prior knowledge
This activty involves using proportional adjustment to solve multipli... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# Combination Problems
## Using n!/r!(n - r)! to calculate permutations
Estimated7 minsto complete
%
Progress
Practice Combination Problems
Progress
Estimated7 minsto complete
%
Combina... |
# 9.1 Current (new)
Page 1 / 7
• Define electric current, ampere, and drift velocity
• Describe the direction of charge flow in conventional current.
• Use drift velocity to calculate current and vice versa.
## Electric current
Electric current is defined to be the rate at which charge flows. A large current, such ... |
# RD Sharma Solutions for Class 8 Maths Chapter 27 Introduction to Graphs
In our day-to-day lives, we come across many situations like the temperature of a patient taken at different times of the day, sales of a shopkeeper on various days of the week, etc. In this chapter, we will discuss the construction and reading ... |
# ANGLE ANGLE SIMILARITY
Similar figures have the same shape but may have different sizes. Two triangles are similar if their corresponding angles are congruent and the lengths of their corresponding sides are proportional.
## Angle-Angle (AA) Similarity Postulate
If two angles of one triangle are congruent to two a... |
February 24, 2024
Learn how to do integrals step-by-step with this comprehensive guide, complete with practical examples, troubleshooting tips, and real-life applications. Discover how integrals are used in mathematics and beyond and develop advanced techniques to tackle even the toughest integrals.
## Introduction
I... |
# Integration of sin cube x | Integral of sin^3x
The integration of sin cube x is equal to -cosx + cos3x/3+C where C denotes an integral constant. In this post, we will learn how to integrate sin^3x.
Sine cube x integration formula: The integration formula of sin3x is given by
• ∫sin3x dx = (-3cos x)/4 + (cos 3x)/12... |
## Linear Function
There are many key features that you will learn during math career. The first and most basic function is a linear function. A linear function is used to describe the relationship of a straight line. This can be any straight line at any angle or any position. The general form of these operations is a... |
# NCERT Solutions for Class 12 Maths
Find 100% accurate solutions for NCERT Class XII Maths. All questions have been explained and solved step-by-step, to help you understand thoroughly. Free Download option available!
1. As x ≥ 0, y ≥ 0, therefore we shall shade the other inequalities in the first quadrant only.
... |
## NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines Exercise 10.3
If you are facing trouble finding the correct NCERT Solutions of Chapter 10 Straight Lines Exercise 10.3 then you we have provided these for you here. It will help you in finding the NCERT Solutions for Class 11 Maths difficult questions. Th... |
## Thinking Mathematically (6th Edition)
The given sequence is an arithmetic sequence and the next two terms of the given sequence are$-28\ \text{and}\ -35$.
To check is a sequence is an arithmetic sequence, see if the differences between two consecutive terms are equal i.e. check if${{a}_{n+1}}-{{a}_{n}}=d\ \$ for al... |
# Division law with variable bases and integer negative powers
Lesson
$a^x\div a^y=a^{x-y}$ax÷ay=axy
But what happens when the $y$y value is larger than the $x$x value? Well we subtract them in just the same way except we'll end up with a negative answer. For example, $a^2\div a^5=a^{2-5}$a2÷a5=a25 which can be si... |
# Variance Calculator
Enter a data set for a population or sample to calculate variance using the calculator below.
Separate numbers using a comma (,)
Separate numbers using a comma (,)
## Results:
### Steps to Solve
#### Population Variance Formula
\sigma^{2} = \frac{\sum \left ( x_{i}-\mu \right )^{2}}{N}
####... |
# Examples on Point and Angle of Intersection of Two Straight Lines
Go back to 'Straight Lines'
Example – 5
Find the equation to the straight line which passes through (3, –2) and is inclined at $${{60}^{\circ }}$$ to the line $$\sqrt 3 \,x + y = 1.$$
Solution: Observe carefully that there will be two such lines. ... |
Prove that:
Question:
Prove that:
$\left|\begin{array}{ccc}z & x & y \\ z^{2} & x^{2} & y^{2} \\ z^{4} & x^{4} & y^{4}\end{array}\right|=\left|\begin{array}{ccc}x & y & z \\ x^{2} & y^{2} & z^{2} \\ x^{4} & y^{4} & z^{4}\end{array}\right|=\left|\begin{array}{ccc}x^{2} & y^{2} & z^{2} \\ x^{4} & y^{4} & z^{4} \\ x & ... |
Sound and Music: Chapter Outline || About the Tutorial || Tutorial Topics || Usage Policy || Feedback
## Lesson 5: Musical Instruments
### Guitar Strings
A guitar string has a number of frequencies at which it will naturally vibrate. These natural frequencies are known as the harmonics of the guitar string. As menti... |
# Mathematics » Grade 2 » Number & Operations in Base Ten
## Understand place value.
• CCSS.Math.Content.2.NBT.A.1 Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:
• CCSS.... |
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### Precalculus Enhanced with Graphing Utilities
Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465
# if $\mathrm{sin}\alpha =-\frac{4}{5}$, $\mathrm{\pi }<\mathrm{\alpha }<\frac{3\mathrm{\pi }}{2}$, then $\... |
# simplify 6 : 2
#### Understand the Problem
The question is asking to simplify the ratio of 6 to 2, which involves reducing it to its simplest form.
#### Answer
3:1
##### Answer for screen readers
The final answer is 3:1
#### Steps to Solve
1. Find the greatest common divisor (GCD) of the numbers
To simplify t... |
# What is the Difference Between Volume and Surface Area?
Tricia Christensen
Volume and surface area are two related concepts in the study of mathematics. They’re both important to understand, but equally important is understanding how they differ and what they mean. This is especially the case when it comes to compu... |
Education
# Study About Set Operations on Empty Set Here
Before learning about the operations that can be performed on an empty set, let’s first understand what empty sets are.
## Empty Set (Null Set)
An Empty Set, also known as a null set, has no elements. The sign ‘∅’ denotes an empty set. It is spelled ‘phi’. Fo... |
# Grade 6 Mathematics Module 3, Topic C, Lesson 15
```NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 15
6•3
Lesson 15: Locating Ordered Pairs on the Coordinate Plane
Classwork
Example 1: Extending the Axes Beyond Zero
The point below represents zero on the number line. Draw a number line to the right starting at zero. ... |
# If 2((x^2)+1)=5x, find i) x−(1/x) ii) x^3−(1/x^3)
If $2\left(\left({x}^{2}\right)+1\right)=5x$, find $i\right)x-\left(\frac{1}{x}\right)ii\right){x}^{3}-\left(\frac{1}{{x}^{3}}\right)$
You can still ask an expert for help
• Questions are typically answered in as fast as 30 minutes
Solve your problem for the price ... |
## Problem
Given an integer $N$, find its number of divisors.
For example, $12$ has the following divisors $1,2,3,4,6$ and $12$. So its number of divisors is $6$.
## Number Of Divisors Function: $NOD(N)$ or $\sigma_{0}(N)$
Number of Divisors of N is also called $\sigma_{0}(N)$. That's just a fancy way of asking fo... |
## What is an example of a linear function?
For example, the function C = 2 * pi * r is a linear function because only the C and r are real variables, with the pi being a constant. The second item is that none of the variables can have an exponent or power to them. They cannot be squared, cubed, or anything else. All ... |
# 2TTO 1-1 Gradient and y-intercept
2TTO
1 / 13
Slide 1: Slide
WiskundeMiddelbare schoolvwoLeerjaar 1
This lesson contains 13 slides, with interactive quizzes and text slides.
Lesson duration is: 50 min
## Items in this lesson
2TTO
#### Slide 1 -Slide
Refresh assignment
See work sheet
- Check (2 min)
#### Slide... |
# Solving Venn Diagram Problems
Shade the Regions Using Two Sets Worksheet These Venn Diagram Worksheets are great for practicing shading the regions of different sets, unions, intersections, and complements using two sets.These Venn Diagram Worksheets will produce 6 Venn Diagrams for the students to shade.Example 1: ... |
# An engine of a train, moving with uniform acceleration, passes the signal-post with velocity u and the last compartment with velocity v. The velocity with which middle point of the train passes the signal post is :
1. $$\frac{u+v}{2}$$
2. $$\frac{v-u}{2}$$
3. $$\sqrt{\frac{v^2+u^2}{2}}$$
4. $$\sqrt{\frac{v^2-u^2}{2}... |
# Polynomial and Rational Inequalities
We will use a combination of algebraic and graphical methods to solve polynomial and rational inequalities.
### Polynomial Inequalities
Just as a quadratic equation can be written in the form ax2 + bx + c = 0, a quadratic inequality can be written in the form ax2 + bx + c ? 0, ... |
# ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 7 Percentage and Its applications Ex 7.1
## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 7 Percentage and Its applications Ex 7.1
Question 1.
Convert the following percents into fractions in simplest form:
(i) 25%
(ii) 150%
(iii) 7$$\frac { 1 }{ 2 }$$ %
(... |
INVERSES OF SIN COS AND TAN
About "Inverses of sin cos and tan"
Inverses of sin cos and tan :
Inverses of sin, cos and tan functions takes the ratio of corresponding functions and gives the angle θ.
Before going to see example problems first let us remember the following table
By knowing the relationship in the ta... |
NCERT Solution: Playing With Numbers (Ex- 3.4)
# NCERT Solutions for Class 5 EVS - Playing With Numbers (Ex- 3.4)
## FAQs on NCERT Solutions for Class 5 EVS - Playing With Numbers (Ex- 3.4)
1. How do I solve problems involving prime numbers?
Ans. To solve problems involving prime numbers, you need to understand the... |
# Differential equation initial value solver
Best of all, Differential equation initial value solver is free to use, so there's no sense not to give it a try! We can solve math word problems.
## The Best Differential equation initial value solver
Here, we debate how Differential equation initial value solver can hel... |
lugreget9
2021-12-30
Evaluate the indefinite integral.
$\int \mathrm{cos}x\left(3\mathrm{sin}x-1\right)dx$
### Answer & Explanation
scomparve5j
Step 1
Consider the provided integral,
$\int \mathrm{cos}x\left(3\mathrm{sin}x-1\right)dx$
Evaluate the indefinite integral.
Apply the substitution method,
Let, $u=3\mathr... |
# How to Prove It - Solutions
## Chapter - 6, Mathematical Induction
### Summary
• To prove a goal of the form $\forall n \in \mathbb N P(n)$:
Prove that $% $, where both $n$ and $k$ range over the natural numbers in this statement. Of course, the most direct way to prove this is to let $n$ be an arbitrary natural n... |
# One car model costs $12,000 & costs and average of$.10 to maintain. Another car model costs $14,000 & costs ab average of$.08 to maintain. If each model is driven the same # of miles, after how many miles would the total cost be the same?
Jun 6, 2017
See a solution process below:
#### Explanation:
Let's call the ... |
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### Course: 8th grade (Eureka Math/EngageNY)>Unit 7
Lesson 3: Topic C: The Pythagorean theorem
# ... |
Trigonometric Functions MathBitsNotebook.com Terms of Use Contact Person: Donna Roberts
A literal translation of "trigonometry" is "triangle measure".
A trigonometric function relates one acute angle (non-right angle) of a right triangle to the ratio of the lengths of any two sides of the triangle.
As we saw with ... |
+0
# Write as a single fraction?
0
144
1
1/b + 1/b^2 + 1/b^3
Guest Jun 6, 2017
#1
+1493
+1
Simplifying these terms requires one to place them in a common denominator. To do this, we must find the LCD, or lowest common denominator of the terms. In this case, $$b^3$$ is the LCD.
Let's worry about each term individ... |
# Lesson 6
Fingers and 10-frames
## Warm-up: How Many Do You See: 5 and Some More (10 minutes)
### Narrative
The purpose of this How Many Do You See is to allow students to use subitizing or grouping strategies to describe the images they see.
In this activity, students have an opportunity to look for and make use... |
# 13.7 Probability (Page 3/18)
Page 3 / 18
A card is drawn from a standard deck. Find the probability of drawing a red card or an ace.
$\text{\hspace{0.17em}}\frac{7}{13}\text{\hspace{0.17em}}$
## Computing the probability of mutually exclusive events
Suppose the spinner in [link] is spun again, but this time we... |
# Solve the system : 3x+3>2-x 5x-4=Solve the system : 3x+3>2-x 5x-4=<2x+8
hala718 | High School Teacher | (Level 1) Educator Emeritus
Posted on
3x + 3 > 2-x
5x-4 =< 2x + 8
First we will solve each inequality and then the solution would be the intersection of both solutions.
3x + 3 > 2- x
Group similar terms:
=... |
# How do you express sin(pi/ 4 ) * cos( ( 3 pi) / 4 ) without using products of trigonometric functions?
sin (pi/4) cos ((3pi)/4) =1/2 sin (pi)+1/2 sin ((-pi)/2))=-1/2
#### Explanation:
start with $\textcolor{b l u e}{\text{Sum and Difference formulas}}$
$\sin \left(x + y\right) = \sin x \cos y + \cos x \sin y \te... |
# Trigonometry : Graphs of Inverse Trigonometric Functions
## Example Questions
### Example Question #1 : Graphs Of Inverse Trigonometric Functions
True or False: The inverse of the function is also a function.
True
False
False
Explanation:
Consider the graph of the function . It passes the vertical line test... |
4
Q:
# In measuring the sides of a rectangle, one side is taken 20% in excess and the other 10% in deficit. Find the error per cent in area calculated from the measurement ?
A) 8% excess B) 9% deficit C) 12% excess D) 11% deficit
Explanation:
Since Area of Rectangle = side1 x side2
Therefore, error% in area
= %
... |
# Search by Topic
#### Resources tagged with Generalising similar to Fractions of Fractions:
Filter by: Content type:
Stage:
Challenge level:
### Keep it Simple
##### Stage: 3 Challenge Level:
Can all unit fractions be written as the sum of two unit fractions?
### Egyptian Fractions
##### Stage: 3 Challenge Leve... |
# Basic Math Symbols and Formulas
## Basic Math Symbols
Symbols Meaning Definition/Example
square root square root of 9 is 3. 3 squared is 9, so a square root of 9 is 3
< less than 4 < 9 shows that 4 is less than 9
> greater than 9 > 4 shows that 9 is greater than 4
not equal one value is not equal to another a ≠ b... |
# Simple Interest Quiz Set 015
### Question 1
Simple interest on a certain sum of money is \$1/5\$ of the sum for 5 years. What is the rate of interest?
A
4%.
B
5%.
C
3%.
D
6%.
Soln.
Ans: a
We know, I = PRT/100. If I = P/5, then \$1/5\$ = RT/100. So R = \$100/{5 × 5}\$ = 4%.
### Question 2
A sum of Rs. 23... |
Designing a logo is not that simple as it seems. It all depends on a designer that he/she should create a brand’s visual identity in an attractive way, not just the simple text.
When a viewer knows what the company does by just seeing their logo then, we can say the work of the designer is full-filled. A designer crea... |
## Problem1J
Problem 1J: Let ${G}$ be a simple graph on ${n}$ vertices ${(n>3)}$ with no vertex of degree ${n-1.}$ Suppose that for any two vertices of ${G}$, there is a unique vertex joined to both of them.
(i) If ${x}$ and ${y}$ are not adjacent, prove that they have the same degree.
(ii) Now Show that ${G}$ is a ... |
# How do you write 1,287,000,000 in scientific notation?
May 13, 2016
$1 , 287 , 000 , 000 = 1.287 \setminus \times {10}^{9}$.
#### Explanation:
To put a number into scientific notation:
1. Move the decimal point right or left until one nonzero digit is to the left of the moved decimal point. Call the number with ... |
# Pretty Powerful Paper Folding
Description Students fold colourful paper strips into equal parts that represent unit fractions, and label the folded regions using symbolic notation. These strips are powerful visual tools that allow students to see the relative size of fractional regions, which allows them to compare... |
• Join over 1.2 million students every month
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1. 1
1
2. 2
2
3. 3
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# Math's Coursework: Pythagoras triples.
Extracts from this document...
Introduction
Math’s Coursework: Pythagoras triples.
I am investigating the rela... |
# How do you integrate int e^x sin ^2 x dx using integration by parts?
Oct 10, 2017
The answer is $= {e}^{x} / 2 - \frac{1}{10} {e}^{x} \cos 2 x - \frac{1}{5} {e}^{x} \sin 2 x + C$
#### Explanation:
We need
$\cos 2 x = 1 - 2 {\sin}^{2} x$, $\implies$, ${\sin}^{2} x = \frac{1 - \cos 2 x}{2}$
Therefore,
$I = \int... |
We begin with a familiar example, performed in a novel way.
Example SABMI: Solutions to Archetype B with a matrix inverse.
The matrix $B$ of the previous example is called the inverse of $A$. When $A$ and $B$ are combined via matrix multiplication, the result is the identity matrix, which can be inserted "in front" o... |
1999 in roman inn numerals is MCMXCIX. To transform 1999 in roman inn Numerals, we will certainly write 1999 in the expanded form, i.e. 1999 = 1000 + (1000 - 100) + (100 - 10) + (10 - 1) afterwards replacing the reinvented numbers v their corresponding roman numerals, we acquire 1999 = M + (M - C) + (C - X) + (X - I) =... |
## What you will learn in this lesson on Exponents?
Exponents or Exponential form is an easy way of expressing a same number multiplied to itself one or more times. The exponential form of 3 × 3 is 32 and 32 is the short form for “3 multiplied by itself 2 times”. 2 × 2 × 2 is shortened as 23. 23 is exponential express... |
# 7.01 Review: Probability concepts
Lesson
### Experimental vs theoretical probability
We have learned about experimental probability and about theoretical probability and what the difference is between them. The theoretical probability is what you expect to happen, but it isn't always what actually happens. What a... |
# Quick Answer: How Do You Find The Ratio Of Two Numbers On A Calculator?
## How do you find the ratio of two numbers?
To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero).
For example, if we divide both terms in the ratio 3:6 by the number three, then we... |
# How to Solve Algebra Equations Using Inverse Operations
Save
Next Video:
How to Get Rid of an Improper Fraction....5
One way to solve many different types of Algebra equations is through the use of inverse operations. Learn how to solve Algebra equations using inverse operations with help from a physics professiona... |
### Mathematics Class XI
Unit-I: Sets and Functions
Chapter 1: Sets
Unit-II: Algebra
Chapter 5: Binomial Theorem
Unit-III: Coordinate Geometry
Chapter 1: Straight Lines
Chapter 2: Conic Sections
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability
Chapter 1: Statistics
Chapter 2: Probab... |
# Locating the Median of Data, Whether Grouped or Ungrouped.
2023-06-16 00:31:34 - Grace Browns Grace Browns has been a lifestyle, fashion, and beauty writer for over 5 years, and she currently serves as a senior editor at 422346.com.
The science of statistics involves procuring, scrutinizing, interpreting, and prese... |
# “At Least” Problems in GMAT Probability
## “At Least” Problems in GMAT Probability
Hey, remember how all the Probabilities have to be fractions less than one? I mean, after all, it’s reasonably rare for there to be a greater than 100% chance that something will happen.
The other thing to bear in mind is that a ful... |
# Median of a Triangle
## Median of a Triangle
A line segment from a vertex of a triangle to the midpoint of its opposite side is called the median of the triangle. There are three medians of a triangle. Medians of a triangle are concurrent i.e. they passes through a single point which is called the centroid of the t... |
# Trigonometry
## Section3.4Chapter 3 Summary and Review
### SubsectionKey Concepts
1. We put an angle $$\theta$$ in standard position by placing its vertex at the origin and the initial side on the positive $$x$$-axis.
2. #### Coordinate Definitions of the Trigonometric Ratios.
• $$\displaystyle \cos (\theta) = \d... |
# 153 (number)
153 (number)
153
Ordinal 153
Cardinal 153rd
Factorization $153 = 3^2 \cdot 17$
Divisors 1, 3, 9, 17, 51, 153
Roman numeral CLIII
Binary 10011001
Octal 231
One hundred (and) fifty-three is the natural number following one hundred (and) fifty-two and preceding one hundred (and) fifty-four.
## Mathemat... |
# What is a percentage?
We explain what a percentage is, how children are taught to understand the concept, to find percentages of numbers and to compare fractions of amounts to percentages of amounts.
## What is a percentage?
A percentage is a number or ratio expressed as a fraction of 100. When we talk about perce... |
# Solving inequalities
We will also provide some tips for Solving inequalities quickly and efficiently So let's get started!
## Solve inequalities
Are you struggling with Solving inequalities? In this post, we will show you how to do it step-by-step. It is a very important property of right triangle and one of the m... |
Pythagorean Theorem Photo Essay
Pythagoras
Pythagoras was a Greek mathematician and philosopher who create the Pythagorean theorem. The Pythagorean theorem is a2+b2=c2. The Pythagorean theorem is used for finding the length of the hypotenuse on a right triangle. The Pythagorean theorem is very important especially in... |
# Uranium 238
Alignments to Content Standards: A-CED.A.2
Uranium 238 is a radioactive material with many applications in nuclear technology. It decays exponentially with a half-life of about 4.5 billion years.
1. Write an equation expressing how much Uranium 238 remains after $t$ years assuming the initial sample si... |
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# ZingPath: Probability Calculations
Searching for
## Probability Calculations
Learn in a way your textbook can't show you.
Explore the full path to learning Probability Calculat... |
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Easy algebra equations - Mathematic
# Easy algebra equations
Here, we debate how Easy algebra equations can help students learn Algebra. Our website can solve math word problems.
## The Best Easy algebra equations
There is Easy alge... |
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# Solving Real-World Problems with Two-Step Equations
## Equations that require multiple steps solve real worl... |
# Ex.4.3 Q7 Linear Equations in Two Variables Solution - NCERT Maths Class 9
Go back to 'Ex.4.3'
## Question
Yamini and Fatima, two students of Class $$IX$$ of a school, together contributed $$₹\, 100$$ towards the Prime Minister’s Relief Fund to help the earthquake victims. Write a linear equation which satisfies ... |
# How do you solve for u in y= (u+1)/(u+2)?
Mar 18, 2016
color(blue)(u = (1 -2y)/(y-1)
#### Explanation:
y= (u+1) / color(green)((u+2)
$y \cdot \textcolor{g r e e n}{\left(u + 2\right)} = \left(u + 1\right)$
$y \cdot \textcolor{g r e e n}{\left(u\right)} + y \cdot \textcolor{g r e e n}{\left(2\right)} = \left(u +... |
# 6.2 Using the normal distribution (Page 3/25)
Page 3 / 25
## Try it
1. Find the 30 th percentile, and interpret it in a complete sentence.
2. What is the probability that the age of a randomly selected smartphone user in the range 13 to 55+ is less than 27 years old.
Let X = a smart phone user whose age is 13 t... |
## 17Calculus Proofs - p-Series Proof
##### 17Calculus
This page contains a proof of the p-series convergence theorem. Using this theorem and practice problems are on a separate page.
p-Series Convergence Theorem
The p-series $$\displaystyle{\sum_{n=1}^{\infty}{\frac{1}{n^p}}}$$
To prove this, we will use the Inte... |
Categories
## Explanations of Slope from 9th Graders
Today’s submitter asked the following question:
Here are a selection of student responses:
• Slope is how far apart the two points are. You can use the idea of rise over run. You rise a certain amount and then run right or left depending ona negative or positive.... |
Q:
What is 91/42 as a mixed number?
Accepted Solution
A:
Solution: 91/42 as a mixed number is 2 7/42MethodsStep-by-step solution of converting 91/42 as a mixed numberThere are three basic steps to convert an improper fraction to a mixed number:Divide the numerator by the denominator (you can use long division if you... |
KSEEB SSLC Class 10 Maths Solutions Chapter 10 Quadratic Equations Ex 10.3
In this chapter, we provide KSEEB SSLC Class 10 Maths Solutions Solutions Chapter 10 Quadratic Equations Ex 10.3 for English medium students, Which will very helpful for every student in their exams. Students can download the latest KSEEB SSLC ... |
# Euclidean Algorithm
## Introduction
Most of the modern cryptosystems were developed based on the fact that it is extremely inefficient to factoring large composite numbers, usually in exponential complexity. Therefore, breaking these cryptosystems have been extremely hard. With a quantum computer, the quantum Shor’... |
Maths circle: Triangle inequality – We Solve Problems
#### Maths circle: Triangle inequality
Today we will solve some geometry problems using the triangle inequality. This is an inequality between the lengths of the sides of any triangle, or actually, between the distances of any three points. $\\$
For any two points... |
# Examples of General Theorems
Example:
Find $\frac{{{\text{dy}}}}{{{\text{dx}}}}$ if ${\text{y}} = \left( {2{{\text{x}}^3} – 4{{\text{x}}^2}} \right)\left( {3{{\text{x}}^5} + {{\text{x}}^2}} \right)$
Solution:
We have
${\text{y}} = \left( {2{{\text{x}}^3} – 4{{\text{x}}^2}} \right)\left( {3{{\text{x}}^5} + {{\text{x... |
# Derivative of Sine Squared, sin^2(x) with Proof and Graphs
The derivative od the sine squared function is equal to sine of 2x, sin(2x). We can find this derivative by using the chain rule and the derivatives of the fundamental trigonometric functions.
In this article, we will learn how to calculate the derivative o... |
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