Rectangle – a flat geometric figure. A rectangle is a quadrilateral whose all the angles are straight. How to find the diagonal of a square if you know the lengths of its sides?

Interest encountered at almost every step. Coupon promotion, the calculation of tax or other rates, different share and a fractional ratio. But the translation percentagea number is not so complicated.

An isosceles trapezoid is a trapezoid whose nonparallel opposite sides are equal. Some formulas allow to find the area of a trapezoid with its sides, angles, height, etc. For the case of isosceles trapezoids the formula may be somewhat simplified.

In the school course of geometry students mostly consider square and regular polygons. Meanwhile, to solve many practical problems often have to deal with irregular geometric figures. With this problem people faced when determining the size of suburban area or local area, and to calculate the amount of fabric for sewing, and in many cases. To calculate the area of irregular shapes in several ways.

Numeric expressions are constructed from numbers, arithmetic signs and brackets. If the expression contains variables, it will be called algebraic. Is a trigonometric expression that contains a variable under the signs of trigonometric functions. Tasks for the definition of numeric, trigonometric, algebraic expressions often found in school mathematics course.

While wiring is sometimes needed to know the cross section of the used wire. You can find the table of diameters of wires and their respective sections, but the desired value it is possible to calculate independently.

Cylinder - a kind of geometric body which is formed of arranged parallel to each other circles, and the many parallel between a straight line drawn from one circle to another. Circles are called the bases of the cylinderand. In order to calculate the volume of a cylinder, it is sufficient to use the formula.

We are often faced with degrees in various fields of life and even in the home. When it comes to square meters or cubic, it is said, too, about the number in the second or third degree, when we see the marking very small or on the contrary big values, is often used 10^n. And, of course, there are many formulae involving degrees. And what actions are possible with degrees and how to count them?

From the school course of plane geometry known definition: a triangle is a geometrical figure consisting of three points not lying on one straight line and three segments that connect pairs of these points. Points are called vertices, and line segments – the sides of the triangle. Share the following types of triangles: acute-angled, obtuse-angled and rectangular. Also klassificeret triangles by sides: isosceles, equilateral and scalene. Depending on the form of a triangle, there are several ways to measure its angles, sometimes it is enough to know only the shape of a triangle.

Each student must learn to reveal the brackets in the equation. This procedure is important for the solution of mathematical, physical, and other tasks that require at least a minimum of computation.

From the necessity of complex mathematical calculations the average person going round the head. Try to calculate what amount of income tax from your pay. In this case, you will help simple activity - drawing ratio. Proportion is equality of two quotients. It is written in the form of two simple fractions, between which and the equal sign.

Index power-law expression indicates how many times the number is multiplied by itself when raised to a given power. How to build the number in a negative exponent? Because "number of times" can not be negative. To solve this problem, you should bring this expression into a normal form: to give a slightly positive value.

A closed geometric figure formed by two pairs lying opposite each other parallel lines of equal length is called a parallelogram. And a parallelogram, all angles of which equal 90°, it is called a rectangle. In this figure it is possible to hold two lines of equal length connecting opposite vertices is a diagonal. The length of these diagonals is computed in several ways.

Call the hypotenuse the longest side in a right triangle, therefore, not surprising that in the Greek language this word is translated as "stretched". This side is always opposite the angle to 90° and the sides that form the angle are called the legs. Knowing the lengths of these sides and the magnitude of the acute angles in different combinations of these values, we can calculate the length of the hypotenuse.

The point of the maximum and minimum are points of extremum of the function, which are according to a specific algorithm. This is an important indicator in the study of functions. The point x0 is a minimum point if for all x from some neighborhood of x0 the following inequality holds f(x) ≥ f(x0) (for the point of maximum opposite is true the inequality f(x) ≤ f(x0)).

The hypotenuse is the largest side of a right triangle. It is located opposite the angle to ninety degrees and is usually known since the seventh grade, the theorem of the ancient Greek scientist Pythagoras. It sounds like this: "the square of the hypotenuse isequal to the sum of the squares of the other two sides". Looks menacing, but is easily solved. There are other methods of finding the lengths of the sides of the triangle.

When solving geometric problems it is necessary to find some value, if known to others. For example, if set to three sides of the triangle, then it is possible to calculate all of its other characteristics. However, knowing the area of a triangle, calculate the length of sides (in the General case) impossible. But if you know the area of a square, find its way very easily.

Isosceles triangle — a triangle in which two sides are equal. Equal sides are called lateral, and the last base. The triangle is rectangular if UD corners direct, that is equal to 90 degrees. The side opposite the angle to ninety degrees is called the hypotenuse and the other two - legs.

There are many types of triangles: right, isosceles, acute-angled, and so on. They all have unique properties to them and each has its own rule for finding a value, whether it is side or base angle. But because of the variety of these geometric figures in a separate group can be distinguished triangle with a right angle.

In minutes and seconds, as a rule, measured by geographical or astronomical coordinates. These units are rarely used in mathematics, physics, and applications in solving various problems both theoretical and applied nature. Here more application as the unit of measurement of plane angles have degrees, whole or fractional. How to convert minutes and seconds to degrees we now find out.

Not uncommon when you want to determine the unknown cross-sectional area of the wire. It is easy to do, and there are several ways. Unfortunately, to use the simplest of them – to find out the cross section of the markings on the insulation is almost never possible: the marking or missing, or worn to the extreme. All other ways reduced to clarify with the help of improvised means.

Learn how to simplify expressions in math just need to correctly and quickly solve the tasks, different equations. Simplify the expression implies a reduction in the number of actions, which facilitates the calculation and saves time.

In 7th grade algebra course is more complicated. In the program there is a lot of interesting topics. In 7th grade solve problems on different topics, for example: "on the speed (movement), move down the river", "fractions", "comparing quantities". The skill with ease to solve problems indicates a high level of mathematical and logical thinking. Of course,with pleasure can only be solved by those that can easily be obtained.

The tangent of an angle is a number which is determined by the ratio of opposite and adjacent to this angle of the legs in the triangle. Knowing only this ratio we can find out the size of angle, for example, using a trigonometric inverse tangent the inverse tangent.

Isosceles is a triangle whose two sides are equal. The area of this triangle can be calculated by several methods.

In our time of global computerization and advanced technologies is impossible without a good knowledge of mathematics. Many professions need the ability to count, to think, to find logical and rational solutions. Foundations for understanding mathematics are laid during schooling. A student in solving many mathematical problems, equations or examples helps the procedure or the execution of actions.

When we are dealing with functions, we have to find the domain of the function and the set of values of the function. This is an important part of the overall study algorithm of the function before graphing.

Graph of a quadratic function is called parabola. This line has a significant physical meaning. The parabolas are moving some celestial bodies. The antenna is in the shape of a parabola focuses rays parallel to the axis of symmetry of the parabola. Of a body thrown upward at an angle, fly to the highest point and fall down, also describing a parabola. Obviously it's always useful to know the coordinates of the vertices of this movement.

Cubes at home is usually called the volume of the room expressed in cubic yards (cubic meters). Meters, usually referred to as the size of the apartment or the house, represented in square meters. Sometimes in this way and measure the dimensions of a large furniture and household appliances. To correctly calculate which area is a bulky thing that required Cuba to translate in meters square.

The number "PI" is the ratio of the length of a circle to its diameter. It follows that the circumference is equal to "PI d" (C = π*D). Based on this ratio it is easy to deduce the formula for inverse proportion, i.e. D=C/π.