Math

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How many sides does a rectangle have?

This four-sided shape has four angles that are right angles, or are 90 degrees each. The sum of the interior angles of a rectangle is 360 degrees. Its two diagonals are equal and intersect at the center of the rectangle.Some important formulas associated with rectangles are area, perimeter and diagonal lengths. A rectangle has a length and a width, and the area formula is length multiplied by the width, or l x w. The perimeter is given as 2(l +w), and the diagonal length is found by taking the square root of the sum of the squares of the width and lengths, respectively.

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What is the average number of miles driven per person in a year?

Drivers between the ages of 20 and 34 drive approximately 15,100 miles per year, which is nearly as much as those who are in the 35 to 54 demographic. Males ages 35 to 54 drive the most at 18,858 miles per year, while women age 65 and over drive the least at 4,785 miles per year.

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What shape does not have equal sides?

A five-sided shape is a pentagon. A six-sided shape is a hexagon. A heptagon is a seven-sided shape, and an octagon is an eight-sided shape. Each of these can have unequal sides and can all generally be called irregular polygons if the sides are not equal to one another. A regular polygon has equal lengths on each side and equal angles. Where the shape has unequal sides, it also usually has unequal angles.

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What is the square root of 224?

To express a square root in simplified form without a calculator, the square of a whole number is factored out. For the square root of 224, the square root of 16 is factored out, leading to the square root of 16 times the square root of 14. Since the square root of 16 is equal to 4, the final simplified radical form is expressed as 4 x sqrt(14), where sqrt indicates a radical sign.

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What are properties in math?

The commutative property of multiplication is similar to that of addition. It states that the order in which numbers are multiplied does not affect the outcome. For example, 3 multiplied by 4 multiplied by 5 equals 60, and 5 multiplied by 3 multiplied by 4 also equals 60.Another common property in math is the multiplicative identity property. This property states that the product of any number multiplied by 1 will always result in that number, such as in the case of 5 multiplied by 1 equals 5, or 22 multiplied by 1 equals 22.

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Where can you get step-by-step help with augmented matrices?

Paul's Online Math Notes describes how to convert a system of equations into an augmented matrix, moving the coefficients of each variable in each equation into the left side of the matrix, and moving the constants on the right side. It then defines some matrix operations that can manipulate the augmented matrix, such as interchanging rows, multiplying a row by a constant and adding one row to another row. It then uses these operations to go through a process called Gauss-Jordan elimination to solve an augmented matrix. The intent of Gauss-Jordan elimination is to produce the identity mat..

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What are some good ideas for perimeter math worksheets?

A perimeter is the cumulative distance around a closed plane shape. For example, a rectangle with a length of 4 inches and a width of 3 inches would have a perimeter of 14 inches, as the total of two sides of 4 inches each and two sides of 3 inches each.\nA circle's perimeter is known as its circumference and is calculated by multiplying its diameter by the value pi. More creative opportunities to practice perimeter calculations include the use of graph paper to construct a variety of block-like shapes and the measurements of real-life spaces, such as floor plans or hockey rinks.

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How do you teach ratios using a ratio table?

An example of finding missing values with a ratio table is if one column has number 2, a blank and 5, and the accompanying column has values 20, 40 and a blank. To find the missing values, use the first row ratio of 2 to 20, which simplifies to a ratio of 1 to 10. This allows the student to figure out the missing value in the first column as 4 and in the second column as 50.\nUsing this strategy, you can teach a student to compare ratios. For example, to figure out which swimmer is faster, each has values filled out for a umber of laps. The first did two laps in 10 minutes and four laps in 20 ..

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What are some basic rules for rounding decimal places?

Another decimal rounding method favored by some as being more accurate follows a rule referred to as the Banker's Rule. In this method, the decimal number is rounded off to the nearest even digit when the first digit that is dropped is 5 and no other digits follow the 5.

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Who invented the circle?

Ancient mathematicians, astronomers and engineers observed, measured and were inspired by the circle. Egyptian engineers used methods to compute areas and volumes for circles. As early as 1700 B.C., the Rhind papyrus records a method to find the area of a circular field. Written in 300 B.C., “Book 3” of Euclid's “Elements” deals with the characteristics of circles. Plato's “Seventh Letter” presents a detailed definition and explanation of the circle and the author’s conclusion that no one has ever seen a perfect circle, only approximations.

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