Math

Refine Search

How many faces does an octagonal prism have?

A polygon describes any two dimensional figure that forms a closed loop. Any polygon can be turned into a prism by projecting it into a third dimension, giving it depth. An octagonal prism is derived from an octagon, which is why it contains an octagon on both ends. There are 10 faces, 16 vertices and 24 edges in any octagonal prism. The octagons on the end do not need to be regular octagons.

Continue Reading

What is a binomial experiment?

A binomial experiment is characterized by four conditions. First, the number of trials must be fixed. Second, each trial should result in only two possible outcomes. In most cases, the first outcome is a success, and the second one is a failure. Third, the probability of each outcome does not change in each and every trial. Finally, the trials must be independent of each other. In other words, the result of one trial should not affect the outcome of the other experiments.\nA simple example of a binomial experiment is to check how many heads one flips when a coin is tossed ten times. There are ..

Continue Reading

What is the roster method in algebra?

The roster method is used to define sets in algebra. A set is any collection of objects. According to Regents Exam Preparation Center at Oswego City School District in New York, the items contained within a set are called elements, and the elements in a set do not repeat.\nAccording to Math-for-all-grades, a mathematics educational website, capital letters are used for denoting sets, whereas small letters are used for denoting elements of the set in curly brackets. According to the roster method, the set of vowels would be represented as follows:      V = {a, e, i, o, u}Here, the capital..

Continue Reading

Where can you find an area calculator for any shape?

SketchandCalc also allows users to import maps or images, making it a very flexible tool for calculating area. It is not a 3-D modelling package, though, so it only offers area and perimeter, not volume. It is a paid-for service, but users can get one set of results for free, as of November 2015, by sharing the website's details on social media.

Continue Reading

What are some examples of quadrilaterals?

There are only three properties that every quadrilateral shares. They must all have four sides, four vertices and four internal angles with a total sum of 360 degrees.The simplest type of quadrilateral is the square. A square can be any size, but all of its sides must be the same length, and both sets of opposite sides must be parallel to each other. The internal angles must also be exactly 90 degrees.A rectangle is similar to a square in that opposite sides are parallel and equal in length to each other, but not all sides must be the same shape. A square fulfills all these conditions and is a..

Continue Reading

How do you find the area of a sector of a circle?

Understand A = πr2The radius of a circle is defined as a line segment drawn from the circle's center to any point on its edge. Pi is the ratio of a circle's circumference to its diameter. Pi is an irrational number, meaning it is a decimal that does not terminate or repeat, but for everyday purposes, it can be rounded to 3.14. Apply the circle area formulaSuppose a circle has a radius of 10 centimeters. To find its area, square 10 to get 100, and then multiply by 3.14. The circle's area is 314 square centimeters.Figure out units of arcRecall that the edge of a circle spans 360..

Continue Reading

How do you do two-step equations?

Add or subtract any non-variable terms to simplify the equationFor example, take the equation 3x + 9 = 5x -15. To avoid negatives, add 15 to both sides, leaving you with 3x + 24 = 5x. No matter which term you choose to cancel out, the equation ends up with the same result, so it's a matter of personal preference.Get the variable on one side of the equationSubtract 3x from both sides of the equation, leaving you with 24 = 2x. You could have also subtracted 5x, but this adds an extra step to the equation because the 24 would have to be moved again.Divide by the coefficient of x to simplify ..

Continue Reading

What is pH = pKa + log?

The pH of a solution is a measure of the concentration of the free-floating hydronium ions within the solution. Since weak acids do not disassociate completely, the pH of weak acids is not simply deduced by taking the negative log of the available hydronium ions. The ion dissociation constant of that particular weak acid, commonly known as pKa, is used along with the ratios of the conjugate acid and base within the solution. The pKa is added to the log of conjugate base over conjugate acid to get the overall pH of the solution.\nThe Henderson-Hasselbach equation takes into account that weak ac..

Continue Reading

What is an example of a square pyramid?

Triangular pyramids, instead of having a square base, have a triangular base. A pentagonal pyramid has a pentagon as its base. This rule applies to many other shapes.Pyramids can vary based on where the apex lies in relation to the base. The apex is the point where all of the sides meet at the top of the pyramid. In a right pyramid, the apex lies directly above the center point of the base, but in an oblique pyramid, the apex can be off to the side, giving the pyramid an uneven look.Regular and irregular pyramids exist. Regular pyramids have a regular polygon, such as a square, as the base. Ir..

Continue Reading

What is the formula for percentile?

Percentiles are calculated to understand the strength of one number in relation to a group of numbers. For example, if a student scored 70 on a test in a class of 40 students, and 30 students scored less than 70, then the percentile would be 75. This figure is calculated by taking 30 and dividing it by 40, and then multiplying the decimal by 100 to get the percentile rank.

Continue Reading
Showing 1261 to 1270 of 3956 (396 Pages)