Math

Refine Search

What is the square roof of 14?

For numbers such as 14, in which no number can evenly be multiplied by itself to produce the number, finding a square root is done in the same method as long division. Squares can also be negative numbers because according to the rules of multiplication, a negative number multiplied by itself equals a positive number.

Continue Reading

What does "x|x" mean in math?

The term "x|x" is put between curly brackets that begin and end a set. The first x stands for all possible numbers in a set; the second is followed by a qualifier that narrows the set, such as "less than" or "greater than" a certain amount. For example, the set of all x such that x is less than 5 can be written as {x|x

Continue Reading

What is 1,000,000 in Roman numerals?

The line over the M signified multiplying the number by 1,000. The letter M represents 1,000, so incorporating a multiplier of 1,000 gave a value of 1,000,000. The Romans rarely had the need to represent numbers this high, so they did not have a special symbol or word for 1,000,000.\nThe switch from using the line over the M to the one under the M is a recent change. Most computer fonts do not have a ready means to add a line above a letter, so typesets have shifted to the underlined version for ease of display.

Continue Reading

What is the value of cot (pi)?

The cotangent function, cot(x), is defined as 1/tan(x). Since tan(pi) = 0, cot(pi) is undefined. As one can see by looking at a graph of y = cot(x) against x, x = pi is a vertical asymptote of the function. These asymptotes appear at all multiples of x = pi, including x = -pi, 0, pi, 2pi, etc. The positions of these asymptotes correspond to the values of x at which tan(x) = 0.

Continue Reading

What are the prime factors of 40?

Because 40 is even, determining its prime factors begins with dividing by 2, leaving the factors of 2 and 20. Since 20 is even, it is not prime, so it is necessary to divide by 2 again, leaving factors of 2, 2 and 10. A final division by 2 shows the prime factors of three 2s and a 5. Every number has its own unique set of prime factors.

Continue Reading

How many vertices does a trapezoid have?

All four-sided figures have four corners, or vertices. The perimeter of a trapezoid is determined the same way as that of a square or rectangle: the length of all four sides are added together. The area, however, is not determined the same way. For squares and rectangles, the area is determined by the formula area equals length times width. The formula for the area of a trapezoid is area equals one-half the sum of the two bases times the height.

Continue Reading

What is prime factorization in math?

The factors of a given number are those numbers that divide evenly into the given number. To perform prime factorization of the number 100, for instance, start by breaking down 100 into two factors, such as 25 x 4. Neither of those factors is a prime number. The number 25 can be broken down into 5 x 5. Five is a prime number. The number 4 can be broken down into 2 x 2. Two is also a prime number. The prime factorization of 100 is 5 x 5 x 2 x 2, or 5² x 2².

Continue Reading

How many sides does a cube have?

A cube also has eight vertices and 12 edges. A vertex is a corner that joins edges together; therefore, the eight vertices are located at the corners. Half of the vertices surround the top face, and the other half border the bottom.\nA cube is a unique three-dimensional shape because all six of its faces are the same size and shape.

Continue Reading

Which shape has two pairs of parallel sides?

Parallel lines are two lines that run next to each other, an equal distance apart for the entire length of the line. A parallelogram is composed of parallel line segments. It is a type of polygon and is also considered to be a type of quadrilateral.A polygon is defined as a two-dimensional shape that has straight sides. A quadrilateral is a type of polygon that has four straight sides and four angles. When the sides are parallel, the shape is categorized as a parallelogram.A rhombus is a parallelogram that has four equal sides and resembles a rectangle. However, a rhombus does not have to have..

Continue Reading

What is the formula for calculating the slope of a line?

This formula is equally valid in the form, m = (y1 - y2)/(x1 - x2).\nSlope-intercept form, y = mx + b, and point-slope form, (y - y1) = m(x - x1), both represent linear equations used to solve and then graph lines.\nParallel lines are those with the same slope, and perpendicular lines have slopes that are the negative reciprocal of each other.

Continue Reading
Showing 1921 to 1930 of 3956 (396 Pages)