Winnie the Pooh bought in the winter a barrel of honey and decided to put the honey in the pots. And a barrel of honey was the proverbial fly in the ointment. The empty pot was the inscription "1liter , and the pot of honey was wearing a strange dictum "capacity 1кубометр . Bear of very little brain cannot cope with such puzzles, he will have to eat honey straight from the barrel. But in real life it is useful to know how many gallons fit in one cubic meter. For example, if you need to fill water barrels in the garden. Is only to translate cubicmeters of empty barrels in liters of water buckets on a yoke, crushing the shoulders. Immediately it becomes clear that you need to buy a pump.

It was difficult to understand why the old barrels had such "big-bellied" form. It's not in the delights of the ancient designers. In principle, this would fit and capacity of the truncated-conical in shape and easier to collect and the amount of such barrels are easy to find. But it is unlikely that barrel was far to drive...

Skills solving equations with degrees required from students of all educational institutions, be it school, University or College. To solve exponential equations need by themselves, and for other tasks (physical, chemical). To learn how to solve such equations is quite easy, the main thing to take into account a number of small subtleties and observe algorithm.

Circle - a geometric figure that is drawn on a plane. Is the circumference of the plurality of points that are equidistant from a given center. In order to calculate its length, you can apply multiple formulas.

The search area of the triangle is one of the most common tasks in school geometry. Knowledge of the three sides of the triangle sufficient to determine the area of any triangle. In special cases of isosceles and equilateral triangles, it is sufficient to know the lengths of two and one side, respectively.

Trapezoid is a quadrilateral which has two of four sides parallel to each other. Trapezoids are isosceles (equal sides) and rectangular (in which one of the four angles is 90 degrees). Area of a trapezoid is calculated very simply.

Scalene triangle is a triangle, the lengths of the sides which are not equal. This implies that not also equal to any two sides (otherwise the triangle would be isosceles). To compute the area of a triangle versatile uses several different formulas. Consider all main variants, which can arise in practice when solving geometric problems.

Mean square deviation is an important quantitative characteristic in statistics, probability theory and estimation of measurement accuracy. According to the definition of mean square deviation is the square root of the variance. However, this definition is not clear – what characterizes this value and how to calculate the variance value.

The cross-section is formed at a right angle relative to the longitudinal axis. Moreover, the cross-section of different geometric shapes presented can be in various forms. For example, the parallelogram cross-section looks like a rectangle or a square, a cylinder, a rectangle or circle etc.

The concept of "interest" (means "hundredth") is widely spread in science, technology and everyday life. Very often this term is found in the economy, especially in statistics and accounting. Percent believe the payroll taxes and premiums. Not learning how to properly consider interest, it is not necessary to go to the Bank for a loan. Even discounts in the store is impossible to calculate without understanding the interest. It is especially important to learn to consider the interest someone who runs his own business.

Memorizing the formulas, the memorization of theorems and axioms is useless without the understanding of mathematical laws and theories. Particular attention should be paid to the ability to draw conclusions from the set of claims. But it deals a subsidiary of science mathematical logic.

The construction of the degree is one of the simplest algebraic operations. In everyday life the construction is rare, but on production, when you perform calculations – virtually everywhere, so it is useful to recall how this is done.

The triangle is part of the plane bounded by three straight line segments, with pairs for one common end. Straight line segments in this definition are called the sides of the triangle, and their common end – vertices of the triangle. If two sides of a triangle are equal, then it is called isosceles.

Right triangle – a flat figure, which one of the angles is straight, that is, is ninety degrees. The sides of the triangle have names: the hypotenuse and two sides. The hypotenuse is the side of the triangle opposite the right angle, and the legs, respectively, adjacent to it. Basic math game parties is conducted through the Pythagorean theorem, which States that the sum of the squares of the legs equals the square of the hypotenuse. Think that sounds complicated, but actually everything is much simpler.

The tasks for the interest you have to face not only the students. As a rule, in school assignments, we either need to find a numerical expression of a certain amount percent, or what percentage of something a number. To successfully overcome such challenges, it is first necessary to understand that a percent is a hundredth part of something whole. This whole can be, for example, the sum of several numbers.

In the 5th grade middle school introduces the concept of fractions. A fraction is a number consisting of a whole number of share units. Fractions are written in the form ±m/n, the number m is called the numerator, the number n of its denominator. If the module of the denominator is greater the numerator of the module, such as 3/4, the fraction is called proper, otherwise improper. A fraction may contain the integer part, for example 5 * (2/3). To fractions, you can apply different arithmetic.

The triangle is one of the most common and studied geometric figures. That is why there are many theorems and formulas for finding its numerical characteristics. Find the area of an arbitrary triangle if you know three sides, Heron's formula for.

Trapezoid is a quadrilateral whose two sides are parallel to each other. Trapezoid is a convex polygon. The height of the trapezoid to calculate easily enough.

A reamer is a surface of geometric bodies, deployed on the plane. To build a scan of any surface is necessary to consistently combine all the flat elements with a single plane.

Cubic volume is a characteristic of a body, showing its ability to accommodate a certain number of cubes of a substance or gas. To calculate the cubic volume very easily.

The percentages represent the size of any randomly selected fraction of a whole. Indicators expressed in percentage of theAh, called a relative and have no dimension. When measuring the changes of any index over several consecutive time periods, it is necessary to calculate the average percentage change for each of these periods.

Diagonal – a segment connecting two vertices of any shape, not lying on the same side. To calculate its length, most commonly used Pythagorean theorem or the theorem of cosines.

The division is always useful - this way you can find the remainder of an integer division, and to bring the fission process to the desired decimal place.

The Pythagorean theorem is fundamental for the whole mathematics. It establishes the ratio between the sides of a right triangle. Now recorded 367 proof of this theorem.

This is relatively simple the school course. For its solution it is enough to know a few simple mathematical formulas, which are fundamental in geometry. You will also need the ability to think logically and to consider on the calculator.

Solving math problems with logarithms is required from secondary school students, starting with ninth grade. The theme seems difficult, since the logarithm is very different from the usual arithmetic operations.

Many building materials, fuel, food products, arrive at the wholesale markets in containers of cylindrical or similar to those forms. It can be barrels, tanks, or cans. In all such cases for determining the amount of a substance you first need to calculate the volume. Form of these containers may differ from the classical cylinder, and therefore methods of calculation will differ.

The geometric construction is one of the important parts of learning. They form the spatial and logical thinking, as well as enable to realize a simple and natural geometric patterns. The build produced on the plane with a compass and a ruler. These tools you can build a large number of geometric shapes. While many of the figures, seemingly quite complex, built using simple rules. For example, how to construct a regular hexagon can be described in just few words.

An arithmetic progression is such a sequence, in which each member, starting with the second, equal to the preceding member, folded with the same number d (step or difference in arithmetic progression). Most often in problems with arithmetic progressions are issues such as finding the first member of an arithmetic progression, the n-th term, the constant difference of the arithmetic progression, the sum of all members of an arithmetic progression. Let's consider each of these issues in more detail.

Ar and hectare are metric units of area measurement. Usually in hectares and arakh measure the area of agricultural land. Ar is also called "weaving", due to the fact that ar is one-hundredth part of a hectare.