Math

Refine Search

How many degrees are in a polygon?

A rectangle has four sides, so the sum of its angles is equal to 180(4-2), or 360 degrees. A pentagon has five sides, so the sum of its angles is equal to 180(5-2), or 540 degrees. This formula works for both regular and irregular polygons, no matter how many sides are involved. To find the measure of the angles of a regular polygon, simply apply the formula and divide by the number of sides. For example, 540 divided by 5 is 108, so the angles of a regular pentagon must each measure 108 degrees.

Continue Reading

What are the factors of 44?

Forty-four is a composite number, which means it has other factors aside from 1 and itself. Its prime factors are 2 x 2 x 11. The numbers 2 and 11 are prime numbers and the product of two 2’s and one 11 is 44. The process of finding which prime numbers result to a certain number (when multiplied together) is called prime factorization.

Continue Reading

How are integers used in real life?

Integers are defined as the set of whole numbers that include both positive numbers and their opposites. A reading below zero is given by a negative integer, while a temperature, such as 100 degrees Fahrenheit is a positive integer. In sports like hockey, there are plus-minus statistics that are calculated for players. A mountain's elevation is another example of positive integers.

Continue Reading

What is the standard form in algebra?

The line of a standard-form equation can be found by substituting 0 for x and y in turn, which provides the values of the y-intercept and x-intercept of the line. Plotting those two points on a graph allows them to be connected as a line and the line to be extended indefinitely. Many people prefer the slope-intercept form of y = mx + b, but many equations start in standard form.

Continue Reading

What is an example of subtracting mixed numbers with regrouping?

The first step in solving the example problem is to obtain a common denominator. The two denominators in the example are 4 and 3, and the common denominator should be the lowest common multiple, or the lowest number that is divisible by both numbers. The lowest common multiple of 4 and 3 is 12. Thus, the denominator of the first fraction is multiplied by 3, and the numerator must also be multiplied by 3. The resulting mixed number is 4 3/12. Multiplying the numerator and denominator of the second fraction by 4 results in 2 4/12.\nSince 4/12 is greater than 3/12, the student must regroup. This ..

Continue Reading

What are the factors of 49?

The number 49 is a square, which means that a number multiplied by itself yields 49, and that number is seven. Seven is called the square root of 49. Seven is also a prime number, which means it is evenly divisible by only one and itself. The prime factorization of 49 therefore is 7 x 7 or 7^2. Prime factorization of a number involves finding the prime numbers that multiply together to yield that number.

Continue Reading

How is the strength of a correlation determined?

The correlation coefficient measures the degree of a linear relationship between two variables. These variables are usually labeled X and Y. Correlation is similar to regression, but different in how it relates two variables to one another. Regression is concerned with using one variable to predict another. Correlation looks at the relationship between the two variables. The correlation coefficient has either a positive or a negative sign. The sign describes the direction of the relationship between the two variables. A positive sign and a positive correlation coefficient indicates that when t..

Continue Reading

How do you find the orthocenter of a triangle?

Identify the type of triangleVerify the triangle does not have angles greater than or equal to 90 degrees to ensure it's an acute triangle. Only acute triangles have orthocenters in the interior. A right triangle has its orthocenter at the vertex of its right angle. Draw the altitude perpendicular to the baseDraw a straight line from the triangle's top vertex down to the base. Ensure that this line creates a right angle with the base. This is one of the triangle's altitudes.Draw the other altitudes of the triangleObtain the altitude for the two other sides by using the same meth..

Continue Reading

What are some algebra one formulas?

Other commonly used formulas in algebra are known as the laws of exponents and are used to solve equations that include variables taken to an exponential power. For example, the problem (x^a)(x^b) is equal to x^(a + b). Similarly, (x^a)^b is equal to x^ab.\nWhen two different variables are multiplied and taken to the same power, the equation is solved using the formula where (xy)^a = (x^a)(y^a). Another common formula is used to find the square of a binomial expression. For example, the expression (x + y)^2 is solved by using the formula (x^2) + 2xy + (y^2).\nSolving problems on an xy-axis may..

Continue Reading

What is the purpose of a random number table?

A sample is a subset of a total population that is more manageable and hence actually selected for study. A random number table enables this selection in a random, nonchronological manner. A basic analogy is that of a hat, with subjects’ names being picked out of it at random. When a subject is randomly selected, it means that he and every other subject has equal probability of being selected, with no individual able to affect the selection of others.\nA random number table simply contains a list of digits from zero to nine, arranged in a series in no particular order. All ten digits occur w..

Continue Reading
Showing 2141 to 2150 of 3956 (396 Pages)