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What are types of trapezoid?

The trapezoid, or trapezium, is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs or the lateral sides. If the sides are not parallel, it can be said that there are two pairs of bases.\nThe term trapezium has been in use in English since 1570. The first recorded use of the Greek word translated trapezoid was by Marinus Proclus in his commentary on the first book of Euclid's Elements. The use of the term trapezoid is what is current in the United States and Canada. In all other languages that use a..

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How do I figure out my class grade percentage?

First one needs to determine their average percentage grade for each element is considered in the final grade. If there are 40 weekly assignments, the student needs to add those 40 grades together and divide by 40 to find their average assignment grade. If any assignments were skipped by the student, those assignments get added in as a zero, but the student should still divide by 40.\nOnce the student has all of the needed numbers, they need to plug those into the final grade formula. The student should multiply the average grade in each category by the relevant percentage points. For instance..

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How does math relate to art?

One of the important concepts throughout art history has been that of the so-called golden rectangle or golden ratio, a set of proportions that has been found to be aesthetically pleasing and can be found on the human body itself. The golden ratio is 1:0.618, and essentially divides a composition into 1/3 and 2/3. The golden ratio was used extensively by classical architects in creating well-known buildings, such as the Parthenon in Athens, Greece. It was also used by painters such as Leonardo da Vinci, Seurat and Piet Mondarian in both figurative and abstract compositions. The use of lines an..

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What are the rules for a special right triangle?

The special right triangle finds application in trigonometry. It becomes easier to calculate the values of trigonometric functions when a right triangle has these angles. The six trigonometric functions are sine, cosine, tangent, cosecant, secant and cotangent.\nThe values of trigonometric functions depend on the values of the angles other than the right angle. The ratios of the lengths of the sides of the right triangle give these six trigonometric functions.

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What is 4 squared in math?

A number to the third power is cubed, so four cubed is 64. The exponent is written as a superscript to the number to which it applies. Exponents are used frequently in algebra.\nMultiplying exponents with the same base number requires adding the exponents and keeping the base. For example, four squared times four cubed equals four to the fifth power (two plus three), or 1,024. A number to the first power is simply the number.

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How do you solve the equation x + 2 + 5x + 6 = 0?

Combine the like termsThe terms x and 5x should be added together. Add 2 + 6. The answer will be 6x + 8 = 0.Subtract eight from both sides of the equationIn order to keep the balance, eight must be subtracted from both sides of the equation. The answer will be 6x = -8.Divide both sides by sixIn order to finally isolate the variable x, both sides are divided by six. The answer is x = -8/6.Reduce the improper fraction to the lowest termsBy reducing the fraction, the answer will be x = -4/3, or minus 1 1/3.

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What are distributing exponents?

In the previous example, the distributive property of exponents says that "(3x)^6 = (3^6) (x^6)," and both forms can be used interchangeably.\n\nIn another example, "(8 x 4)^3" is the same as saying "(8^3) (4^3)." The problem can be simplified in two ways: (8 x 4)^3 = 32^3 = 32,768 and (8^3) (4^3) = (512) (64) = 32,768. Both ways are equally valid and will always yield the same results.\n\nHowever, if there are any addition or subtraction terms within the parentheses, there is no longer a single term in the base, so the distributive property of exponents cannot be used in the same way. An exam..

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What is the average weight of a book?

A standard size hardcover book weighs more than paperback. A 460-page book is about 1 pound, 2 ounces on average, while a 735-page book averages about 1 pound, 15 ounces. Textbooks, on the other hand, have larger dimensions and are even heavier. With a size of 7 by 10 inches, a 500-page hardcover book weighs approximately 2 pounds, 10 ounces. A 1000-page textbook is around 5 pounds, 3.1 ounces.

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What is the circumference of a circle with a diameter of 8 cm?

A circle is defined as a shape in which all points are the equal distance from the center. The circumference of a circle is the distance measured around the edge of the circle. The diameter is the distance measured across the circle through the center. Pi is the ratio found by dividing the circumference by the diameter, resulting in the formula, c/d=pi. This formula is adapted to find each individual variable.

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What does Pythagoras' famous theorem involve?

In the formula, the longest side is represented by the letter "c." This side is called the "hypotenuse." The other two sides are represented by "a" and "b."\nA right angle is a 90-degree angle. A triangle with such an angle is called a right triangle. An example of the Pythagorean theorem in action is that if a right triangle has two sides which are 3 and 4 centimeters long, the hypotenuse will be 5 centimeters long. This is known because 3 squared is 9 and 4 squared is 16. When added together, the answer is 25. That is the size of the square of the hypotenuse, meaning if one finds the square ..

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