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Interesting facts about polygons such as decagons

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If you’re interested in learning about the features of a few common types of polygons such as octagons and decagons, simply continue reading to get started.

What is a 10 sided polygon called? If you were trying to find what a 10 sided polygon is called. A 10 sided polygon is simply referred to as a decagon.
What are some interesting facts about decagons?Regular decagons have 10 even sides, which are always equal in length. The angles inside a regular decagon happen to equal 144 degrees, no matter how small or large a regular decagon is. An example of a decagon which doesn’t have equal sides is a quasi regular decagon which alternates between two different types of edges. If you’re interested in the symmetry order of polygons, a regular decagon has a symmetry order of 20.
What is a 9 sided polygon called?
The answer which you’re looking for is nonagon.

What are some interesting facts about nonagons?
Nonagons have 9 sides and 9 vertices and the internal angles inside of a nonagon measure as 140 degrees. A real life example of a nonagon structure is the US Steel Tower, which is an irregular nonagon. While all Baha’i Temples are also required to be built to be nonagons. An alternative name for a nonagon is enneagon.
What is an 8 sided polygon called?
The answer is an octagon. One easy way to remember that an octagon has 8 sides is that the root of the world octagon, translates to the number 8, which is why an octopus, which has 8 legs has the same root oct, which means 8.
Are there any interesting facts about octagons?
As you may have guessed regular octagons have eight sides of an even length and feature 8 vertices. Another interesting fact about octagons is that you can create an irregular regular octagon as a quasi regular truncated square which features two district styles of edges. An example of a real life octagon is a UFC, mixed martial arts ring, which is shaped as a regular octagon and has 8 even sides and 8 vertices.
What is a 7 sided polygon called?
A 7 sided polygon can be referred to either as a heptagon or a septagon. However, the most common term that you’ll come across is defintely heptagon.
What are some interesting facts about heptagons?
As you may have guessed they are comprised of 7 equal sides and features 7 vertices each of which boast the same interior angles, which equates to 128.57 degrees. simple to find out the area of a regular heptagon. To find out the area of a regular heptagon you’ll need to use the formula 1/2 multiplied by the perimeter multiplied by the apothem.
What is a 6 sided polygon called?
The answer is a hexagon. The root of the word hexagon, hex translates to the number six in Greek.
What are a few interesting facts about hexagons?
Yes, regular hexagons are made up of six equal sides and also feature six vertices. Some properties of regular hexagons include that regular hexagons are convex, cyclic, isogonal and isotoxal. Hopefully, you learned a few brand new facts about a few common polygons such as decagons and octagons.

A guide to understanding the key features of polygons

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If you’re interested in discovering some of the key features of polygons, continue reading to discover a simple, clear guide to understanding polygons.

What is a polygon?

A polygon is a two dimensional shape, which is comprised of straight lines. Any two dimensional shape which is curved such as a circle is not referred to as a polygon. Other examples of shapes which are not polygons include open shapes, which are not fully enclosed as well as three dimensional shapes such as a cube, a sphere or a pyramid.

What are the differences between regular polygons and irregular polygons:

A polygon with all sides and angles and congruent is classed as a regular polygon while a polygon which features sides of varying lengths and angles is referred to as an irregular polygon.

An example of a regular polygon is an equilateral triangle which is comprised of three sides which are equal in length as well as equal interior angles which each add up to 60 degrees. While a common example of a irregular polygon is a scalene triangle which features three sides of varying lengths and which has interior angles of varying different sizes.

What is a concave polygon?
A concave polygon is a polygon which features at least one angle which is at least 180 degrees.
What is a convex polygon?
Unlike a concave polygon a convex polygon will not have a single interior angle which is larger than 180 degrees.
What is a complex polygon?
If you’ve never come across the term complex polygon, a complex polygon is a polygon which has a line which crosses another line.
What are some common examples of polygons:
One of the most common types of polygon are quadrangles. Quadrangles all have four sides and include simples squares and rectangles as well as rhombuses. Furthermore every quadrangle polygon has interior angles which add up to 360 degrees. Quadrangles can also be referred to as parallelograms. Parallelograms feature opposite sides which are always equal in length.
Triangles are another example of a polygon. There are three different types of polygons, equilateral triangles feature three sides of equal lengths, isosceles triangles feature two even sides and one uneven side and feature two, not three equal angles. Finally scalene triangles boast three sides which are all different in length.
Other examples of polygons which you may come across in everyday life include pentagons, hexagons and octagons. Pentagons have five sides, hexagons have six sides and octagons have eight sides.
How to accurately calculate the area of a quadrangle:
To effortlessly figure out the area of a quadrangle, such as a square or a rectangular, multiple the length of your chosen polygon with the vertical height of your quadrangle. Working out the area of a quadrangle couldn’t be easier.
How to calculate the area of other types of polygons;
If you’d like to figure out the area of a polygon which isn’t a quadrangle, you’ll need to split up your polygon into equal triangles before using an algebaric equation to find your answer.
Hopefully, you’re now feeling more confident about your knowledge of a wide variety of polygons.

A Guide to Understanding Triangular Prisms

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In order to learn everything which you need to know about triangular prisms, simply continue reading to discover a simple guide to triangular prisms.

What is a triangular prism:

A triangular prism is essentially a three sided prism that is comprised of even sized rectangular prisms. The base shape of a triangular prism is a traditional triangle. A triangular prism is comprised of 2 triangular shapes and three rectangular shapes. The two ends of a triangular prism are always parallel to each other, while the four side faces of a triangular prism are rectangular parallelograms.

Furthermore triangular prisms are three dimensional as all shapes which are prisms are three dimensional shapes as opposed to a simple, two dimensional shape such as a square or an octagon. Another example of a prism is a sphere with is three dimensional, unlike a circle which is two dimensional.

What is a right triangular prism:

The term right triangular prism refers to a triangular prism which has a triangular base which edges and face are all perpendicular to the base edges.

Are there any examples of triangular prisms that are easily recognisable:

An example of a triangular prism which you may have seen in real life is an oversized Toblerone chocolate box, which you’ll find sold in the duty free section of most international airports around the world. Some other examples of triangular prisms which you may have come across include camping tents and triangular rooves.

What is a prism:

To understand wha ta triangular prism is, it’s essential to ensure that you’re clear about what a prism is. A prism has identical ends and flat faces and boasts the same exact cross section along its length. So if you were to cut a prism along its length in two different areas, the slices that you’d get would look exactly the same. Furthermore prisms always feature flat sides are are never curved like a cylinder.

How many vertices does a triangular prism have?

Triangular prisms have six vertices. Vertices being corners.

How many faces does a triangular prism have?

A triangular prism always has five congruent faces.

How many edges does a triangular prism have?

A triangular prism has nine edges.

How to calculate the volume of a triangular prism:

If you’re curious about how to accurately calculate the volume of a triangular prism, simply follow the following mathematical equation. Multiply the base of your triangular prism by its height.

How to calculate the surface area of a triangular prism accurately:

In order to figure out the surface area of a triangular prism use the equation 2A + PH. In this formula A = your base area, P = the perimeter of your triangular prism and H refer to the height of your prism.

What is a semi-regular triangular prism?

If you’ve heard the term semi-regular triangular prism and are wondering how a semi-regular triangular prisim differs from a regular triangular prism, a semi-regular triangular prism features an equilateral triangle and several square faces.

Hopefully, you now fully understand the basic facts about triangular prisms.

What is a Ten Sided Polygon?

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If you’re curious about what a ten sided polygon is and how to correctly identify one, simply continue reading to discover everything which you need to know about ten sided polygons.

What is a ten sided polygon?

A ten sided polygon is a regular polygon which is referred to as a decagon. A decagon is a two dimensional shape. If you continue reading you’ll discover some of the key differences between the two different types of decagons which exist regular decagons and irregular decagons as well as a few simple mathematical equations that can be applied to regular decagons .
How many edges and vertices does a regular decagon have?

All decagons have 10 edges and vertices. All of which are even in length and size. If it’s been awhile since you’ve come across the term vertices, the term simply refers to the individual points at which each side in a shape such as a regular decagon meet.

How many degrees does the internal angle of a regular decagon add up to?

As regular decagons boast sides which are all uniform in size and length, the internal angle of each internal angle of a regular decagon always adds up to 144 degrees.

What are some of the key properties of a regular decagon?

A polygon is a convex shape as each internal angle in a regular decagon is less than 180 degrees. As just stated above each internal angle in a regular decagon always adds up to 144 degrees. Furthermore, regular decagons can also be referred to as being equilateral polygons as regular decagons have even sides and vertices.

How to find the area of a regular decagon:

If you ever need to find the area of a regular decagon simply use the following mathematic equation. Area equals half multiplied by perimeter multiplied by apothem. In order to get your answer.

How to find the perimeter of a regular decagon:

In order to find out the perimeter of a regular decagon simply multiply sides by ten in order to find the answer which you’re looking for.

Are all decagons regular decagons?

No, while most decagons which you’ll come across will probably be regular decagons, irregular decagons also exist. As long as a two dimensional shape features ten sides and is fully enclosed a shape can be accurately referred to as a 10 sided polygon or a irregular decagon. Like a regular decagon a irregular decagon will also have 10 equal congruent vertices and angles.

What properties does an irregular decagon feature?

An irregular decagon is concave because its angles are larger than 180 degrees, while the angles of a decagon are smaller than 180 degrees, which makes regular decagons convex.

Are they are mainstream examples of an irregular decagon?

If you’re having difficulty imagining what an irregular decagon may look like, one of the simplest most popular examples of an irregular decagon is a traditional star. If you look at a traditional star, you’ll notice that it’s an enclosed, two dimensional shape which features 10 sides and 10 vertices.

Hopefully, you now have a clear idea about what a 10 sided polygon is as well as the two different types of 10 sided polygons or decagons that exist.

How to graph in XYZ plane

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If you want to learn about the XYZ plane and how to plot your given co-ordinates on your XYZ plane correctly, simply continue reading to discover handy step by step directions to follow.

What is the XYZ plane?

If you’re confused about what the XYZ plane is, the term simply refers to a three dimensional structure, which is sometimes also referred to as an XYZ matrix.

The first dimension, which you should be aware of is the x axis, while the second dimension which comprises the XYZ matrix is the z axis. The third and last dimension which comprises the XYZ matrix is the depth of the three dimensional structure, which is represented in XYZ by the letter Z.All of the three dimensions listed above intersect at zero.

How to graph in XYZ plane:

If you have no previous experience graphing on a three dimensional plane, simply continue reading to discover how to accurately graph in the XYZ plane. As plotting co-ordinates on a three dimensional plane is similar to plotting dimensions on a two dimensional plane but requires one additional, easy to follow step.

A step by step guide on plotting given co-ordinates on a three dimensional, XYZ plane:

Step one:

Your first step should be to try and locate the x on your x axis.

Step two:

Next, move along the parallel towards the y axis. Next find your y units and move them.

Step three:

Once you’ve completed step two successfully it’s time to move parallel to your z axis and move your z units.

Step four:

Step four involves locating point number 1 on your x axis.

Step five:

From that point, move two units parallel to your y axis.

Step six:

Now it’s time to move three units parallel to the x axis. This is your last step and by now you should’ve successfully plotted your co-ordinates on your three dimensional plane. Hopefully you found plotting on a three dimension plane just as easy as plotting on a regular two dimensional plane.

An alternate method of successfully plotting co-ordinates on a three dimensional plane:

If you happen to own a graphing calculator, you’ll be able to test plotting out your co-ordinates using your graphics calculator. However, if you don’t own a graphing calculator, there’s no need to panic as you can always use an online graphing calculator in order to get the exact same results.

Extra tips on graphing using three dimensional planes:

1. Watch videos which feature examples on how to follow the XYZ plotting formula which was listed above

If you’re still a bit uncertain about going ahead and using the XYZ plotting formula above, on your own, it may be a smart idea to watch a tutorial video, which will show you exactly how to follow the instructions above. As sometimes watching videos on mathematical procedures can help you process, understand and memorize new mathematical formulas.

Hopefully you now have all the information which you’ll need to accurately plot co-ordinates on a three dimensional plane such as an XYZ plane.

How to find the indicated probability

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If you’re having difficulty solving indicated probability, continue reading to discover a few tried and tested methods of accurately solving indicated probability. As well as some extra tips on becoming more confident with solving probability equations.

How to find the indicated probability:

There are multiple equations which you can use to try and find the indicated probability. Two methods which you may want to use are the standard normal distribution and the normal distribution model, both of which are commonly used to accurately figure out indicated probability.

To discover both methods of indicating probability as well as a few extra methods, which you may want to experiment with, in order to solve equations, simply continue reading.

How to use the standard normal distribution model to calculate indicated probability:

In this model, the normal variable in your equation or formula is referred to as your standard score. Although you may prefer to use the shortened term z score, in place of standard score, especially when you’re working out your indicated probability.

Remember that every random variable can correctly be changed into a z score using the equation z = (X – ) /

How to use the standard normal distribution chart to find your indicated probability.

Instead of using the handy equation listed above to find your probability, you can also use the standard normal distribution chart, to find out how to solve your indicated probability.

How to use a standard probability equation to find your indicated probability:

If you’re looking to solve a rather straight forward probability question, you may be able to use a much simpler method in already to solve your problem.

One such equation can be used to find the probability of certain events. Simply divide the number of events which you’re currently dealing with, with the number of outcomes which are logically and statistically possible.

If in doubt, it’s best to start off by checking to see whether your problem can be easily solved with this simply division. If your problem can’t be solved using this simple equation, you can then go ahead and experiment with some of the formulas and methods which are described in the paragraphs listed above.

How to find the probability of A and B:

Another equation that you may find useful when you’re dealing with the study of probability is the formula for the probability of A and B. This formula is useful if you want to figure out which out of two options is more likely to occur.

Start off by multiplying the probability of A occurring by the probability of B occurring. However, this formula may not be useful if the two events which are defined by A and B are co-dependent and you may be better off looking for a more suitable solution to your problem.

Hopefully after reading all the in depth probability information listed above, including complex and simple probability formulas, you’re now able to confidently and effortlessly find the indicated probability as well as the probability of simple events occurring.

How to divide a circle into 5 equal parts

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If you’re required to divide a circle into 5 equal parts and are looking for a handy guide which features easy to understand, step by step instructions, simply continue reading to discover how to divide a circle into 5 equal parts.

How to divide any circle into 5 equal, uniform parts:

Step one:

Your first step should be to draw a horizontal line across your circle’s diameter. Make sure to use a ruler so that your line is 100% straight. As you don’t want to draw a wonky line, that will instantly ruin your chance of being able to accurately seperate your circle into 5 equal parts.

The easiest way to complete this step is to use a compass to draw your circle so that you’ll be able to use the center dot as a reference to draw your straight vertical line through your circle’s diameter. As with no guide, it’s quite difficult to be able to draw an even, straight horizontal line across your circle’s diameter.

Step two:

Pick up your compass again and set your compass to the radius of your circle, which should be relatively simply. Make sure to place your compass on the edge of your circle where your horizontal line, which crosses your circle’s diameter hits the right side of your circle. From this point draw two little arcs which intersect your circle’s circumference.

Step three:

Mark the top arc which you’ve just drawn as e and the bottom arc which you’ve just drawn as f. As you’ll need to refer back to these points in the future.

Step four:

Next draw a vertical line through the center point of your circle, ensuring so that your circle now features a cross. Label the point which your line touches the top of your circle as G. Starting at point G draw a diagonal line down to point H, which will be the middle point between the two arcs you drew in step three.

Step five:

Now draw a small arc on the left of your original horizontal line and it call J.

Step six:

Step your compass at point G at the top of your circle and draw a line to point J.

Step seven:

Simply draw two tiny arcs which intersect your circle’s circumfrence on the left side of your circle and the right side of your circle. Now label the arc on the left side of your circle A and the arc on the right side of your circle B.

Step eight:

Keeping your compass the same size, now move your compass to point B. As you’ll need to draw a new arc which intersects your circle’s circumference at point C.

Step nine:

It’s now time to move your compass to point C. From this point make sure to draw an arc that intersects your circle’s circumference at point d.

Step ten:

Thankfully, you’ve now reached your last instruction. All that’s left to do is to erase your construction lines and you’ll have a circle which is evenly divided into 5 distinct, even parts.

How many irrational numbers are between 1 and 6

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To discover the number of irrational numbers between 1 and 6 as well as bonus information about irrational numbers, simply continue reading.

How many irrational numbers are between 1 and 6?

You may be surprised to learn that there are infinite irrational numbers between 1 and 6. A surprising fact as most individuals assume that there would be a finite, definitive amount of irrational numbers between two numbers which are seemingly close together.

Why are there countless irrational numbers between 1 and 6? Remember what irrational numbers are. Irrational numbers are numbers which can’t be expressed with whole fractions which feature two whole numbers a denominator and a numerator. Common examples of irrational numbers include numbers which have infinite numbers after their decimal point.

A great example of an irrational number, which features infinite unique numbers after its decimal point is pi. Pi’s first 10 digits are 3.1415926535. As you can imagine, pi is just one example of the infinite irrational numbers between the whole numbers 1 and 6. Hopefully this simple example, illustrates how its possible that there are infinite irrational numbers between two seemingly small numbers.

So remember that while there are infinite irrational numbers between two numbers that have a larger gap such as 1 and 1,000,000, there are also infinite irrational numbers between numbers that are closer together such as 1 and 6 and 1 and 4.

Interesting facts about irrational numbers:

1. Numbers with decimal points can in fact be rational numbers

While numbers with decimal points are often irrational numbers, such as pi, be careful when it comes to defining numbers which feature decimal points as numbers with decimal points can be rational numbers. As an example, the number9.5. Remember that rational numbers can be expressed as whole fractions. Taking the above example 9.5 can be expressed as a simple fraction, 19/2. Both the denominator and the numerator in this fraction are whole numbers, which is also a requirement of fractions which can be made from rational numbers

.Another example of a decimal number, which may at first look like an irrational number, is the number .001. To see whether .001 happens to be a rational digit, you need to turn it into a fraction which features whole numbers. Expressed as a whole fraction the digit .001 can be written as 1/1000. As you’ll notice both the numerator and the denominator are whole numbers, which confirms that the example above is a rational number, even though it has a smaller value than the number 1.2.

There are a few famous examples of irrational numbers While you already know that the number pi is an irrational number, there are also other examples of famous irrational numbers. As an example, the golden ratio is another example of a famous irrational number and the first few numbers of the golden ratio are 1.61803398874948482.

If you’ve never heard of the golden ratio, the golden ratio is a special number which is commonly used in art, geometry and architecture. Hopefully you now have a greater understanding of irrational numbers and how to identify irrational numbers as well as rational numbers.

What is an example of a rational number that is not an integer?

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If you’re currently educating yourself on rational numbers and irrational numbers, continue reading to discover examples of rational numbers which aren’t integers.

What is an example of a rational number that is not an integer?

Firstly, make sure to define the term integer:

To discover a rational number that isn’t an integer, it may help to define the term integer. In the study of mathematics an integer is not simply a number but a whole number, rather than a fractional number. An example of a rational number which is an integer is the number one.
However, keep in mind that integers don’t have to be positive and negative whole numbers can also be classified as integers. An example of a rational integer which is a negative number is -5.
Finding a rational number that is not an integer?
Now that you fully comprehend what an integer is, it will be easier to find a rational number that isn’t an integer. A great example to keep in mind is a decimal number, which has reoccurring, repeating decimal numbers.
As while decimal figures which have unique numbers such as pi are irrational numbers, decimal numbers which have repeating numbers such as 0.36363 are rational numbers. Which means that 0.363636 is a prime example of a rational number that is not an integer.

Further examples of rational numbers that are not integers:

Using the information listed above, the following numbers which aren’t integers are also rational numbers, 0.444444, 0.242424 and 0.5555. All of which follow the rules for rational figures and which can all be easily expressed as whole fractions.

Why are repeating decimals considered rational numbers:

If you’re wondering why repeating decimals are considered rational numbers, the answer is that repeating decimals can be described as a ratio of two integers. So any decimal which uses repetitive numbers such as 0.575757 and 0.818181 will always be considered rational numbers.

At the same time all numbers which repeat themselves continuously such as 0.5555, 0.33333 and 0.8888 are always rational numbers, which aren’t classed as integers or whole numbers too.

What is the official mathematical term for a decimal number which is infinite and never ends:

There is actually an offical mathematical term for a decimal number which is infinite and never ends. In fact, both the terms reptend and repetend can be properly used in order to describe such numbers.

Why is it important to be able to recognize rational numbers:

If you’re uncertain about why it’s important to learn how to differentiate rational figures from irrational figures, remember that once you start figuring out more complex mathematics equations such as algebraic equations, the rules that you’ll need to follow in order to get the right result, will be dependent on whether you’re dealign with a whole rational number or an irrational number.

So in order to save yourself a headache in the future, it’s great to cement the basics of mathematics such as understanding key mathematics terms and rules.

Hopefully your comprehension of rational numbers, irrational numbers and integers has increased as a result of reading the above guide.

Simple equations of horizontal and vertical lines

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To be able to confidently and competently perform simple and complex equations of horizontal and vertical lines, it’s important to first understand the key difference between horizontal lines and vertical lines.

Better yet you’ll also discover how to use the slope intercept equation among a few different formulas, that you may use on a regular basis.

A guide to understanding horizontal and vertical lines:

The definition of a horizontal line:A horizontal line will go straight from left to right and a common example of a horizontal line is a far horizon, in the distance. Horizontal lines are said to be horizontal to the horizon. Horizontal lines will also never cross each other and so if you come across two lines that cross each other at a given point, the line which you’re looking at won’t be a horizontal line.

If you’re wondering why it’s important to learn about horizontal lines and to use horizontal lines to perform equations, the simple answer is that vertical lines will help you accurately determine if there is a relation which is a maths function.

How does a vertical line differ to a horizontal line:

A vertical line, simply goes from top to bottom. All the points on a vertical line will share the exact same x co-ordinate. A vertical line also differs from a horizontal line as unlike a horizontal line which features a slope, a vertical line doesn’t have a slope. So the slope of a horizontal line will always be written down in formulaic equations as being zero.

Equations of horizontal lines:

One of the easiest formulas which you should start off with, is the the intercept equation which will help you find the value of a slope. The slope intercept equation is simply y=mx+ b, m=0. However, if b value = your y co-ordinate of your y intercept, you’ll need to use the equation y = b.

Remember that as your y value will always have the same value, -1, the equation which you should use for your given examples y= -1.

Next up, it’s a great idea to try using the one to one test. Which is as follows, if a horizontal line crosses a function in a graph more than once, then the horizontal line in question is not a one to one function.

Equations of vertical lines:

The very first equation which you should use which involves a vertical line is the formula ofvertical lines, which is fairly straight forward and easy to understand. In an example equation a vertical line is given the expression x = k. Next, you may be interested in learning how to conduct a vertical line test. Which is also a pretty straight forward equation to solve.

In order to solve a vertical line test, start off by solving the equation y = f (x). Once you’re able to solve the equations listed above, you should have no trouble taking on more complex equations that feature horizontal lines and vertical lines. So if you’re ready to get to work start of with solving the slope intercept equation shown above!