Math


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How do you calculate the area of an obtuse triangle?

Identify the baseThe base can be any side of the triangle. However, you do need to pick one side because you measure the height from that side. If the height is given, chose the side that the height divides. Measure the lengthIf the length is not provided, you need to measure the length. You can use whatever type of length measurement you want, as long as you are consistent throughout. For an example, the base of one triangle is 3 inches. Identify the heightThe height is the length from the base to the angle opposite. Draw the height in to make it easier to measure.Measure the heightIf the mea..

What kind of word problems are in a 4th grade math book?

When students have reached the 4th grade level, they have learned basic math principles like addition, subtraction, multiplication and division. Students will build upon this knowledge and apply it to larger numbers, often with a focus on multiplying and dividing numbers containing multiple digits.Fourth grade students will also begin to learn how to use fractions and decimals as well as understanding the relationship between the two. As they learn how fractions work, they will learn about common denominators as well as multiples and patterns. Lessons about place value and rounding may also be..

What is logarithmic differentiation?

The general rule for logarithmic differentiation is that the derivative of the function ln(f) is equal to the derivative of f over f. Using mathematical notation, this rule reads as [ln(f)]' = f'/f, where the apostrophe indicates a derivative. For example, the derivative of the equation y = x^x can be solved by applying the natural log to both sides of the equation as ln(y) = xln(x), for a final solution of (x^x)(1 + ln(x)).

How do you calculate the geometric mean?

Multiply the numbers in the data set togetherMultiply the numbers in the data set together. Consider the example of a set of numbers: 5, 8, 2, 8, and 10. Multiply these five numbers together for a product of 6,400.Take the nth root of the productCount the numbers in the set of data (in the example, there are five). Take the nth root of the product that you calculated in Step 1. Take the fifth root of 6,400 to find the geometric mean of the set of numbers in the example, which is 5.771.Use the geometric mean for appropriate applicationsCalculate the geometric mean for sets of data that involve ..

What shape has the most sides?

A two-dimensional shape consisting of a set of closed straight lines is called a polygon. The word "polygon" comes from the Greek and means "many angles." Common polygons include the triangle, square, rectangle, pentagon and octagon. Polygons which have equal sides and angles are called "regular polygons." For example, each angle of a regular googolgon equals approximately 180 degrees, while those of a hexagon with six sides equal 120 degrees. A polygon can also be simple or complex. Simple polygons have sides that do not cross each other, while the sides of complex polygons intersect.

What is the formula to figure the square footage?

The measurement is always described in square units. It does not matter if the object is measured in miles, yards, feet, inches, kilometers, meters, centimeters or millimeters. Some professionals need to be able to calculate square footage in their daily work. For instance, painters must first know the area of the room they are going to paint in order to purchase the correct amount of paint.

What are the types of quadrilaterals?

If all of the interior angles of a quadrilateral are added together, they are equal to 360 degrees. Some quadrilaterals require specific qualifications, such as all sides have to be equal in length or the sides have to be parallel. For instance, a rhombus has two sets of parallel sides that are equal in length.\nQuadrilaterals can be complex. Complex quadrilaterals, or intersecting quadrilaterals, cross over at some point. A bow tie shape is a good example of a complex quadrilateral.\nQuadrilaterals can be inclusive. This means that a shape can fit more than one definition. For instance, a squ..

Why can't a triangle have more than one obtuse angle?

A triangle with one angle greater than 90 degrees is an obtuse triangle. There are other names for triangles that are based, at least in part, on their angles. For instance, a right triangle has one right angle, which is 90 degrees. The degrees of the other two angles add up to 90, for a total of 180 degrees.\nAn equilateral triangle has three equal angles as well as three equal sides. The measurement of each angle is 60 degrees, though the lengths of the sides vary from triangle to triangle. In an isosceles triangle, two of the angles have identical degrees, and each must be less than 90 degr..

What is a 3D oval called?

An oval is a rounded shape that is slightly elongated, similar to that of an egg. The word is derived from the mid-16th century French word "ovalis" and the Latin word "ovum," both meaning egg. In geometry, for a figure to be called an ovoid, it must at least have one axis of symmetry, in addition to resembling an egg.

What is the derivative of arcsin?

The proof to determine the derivative of arcsine of x can be written by replacing the arcsine of x with another variable, y, as in the derivative of the sine of y equals the derivative of x. Solving this equation results in the derivative of y over the derivative of x equal to one over the cosine of y. Using the Pythagorean Theorem further solves the equation by substituting for the derivative of y over the derivative of x.

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