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What is the square root of 8?

The function can be simplified further by writing the square root of four as two. The function then reads as two times the square root of two. The square root of a number, represented by the variable a, is another number, represented by the variable b; that number when multiplied by itself is equal to a, as in b times b equals a. For the number eight, the formula is 2.82 times 2.82 equals eight.

When does cos(x) = 0?

The equation of the unit circle is x² + y² = 1. Translating radian values to x-y values requires use of the Pythagorean theorem, where x is the cosine value, and y is the sine value. The radian value π/2 makes a right angle, where the x value is equal to zero, and the y value is equal to one. Cosine is a trigonometric functions and occurs at cyclical intervals along a coordinate axis. Since cosine is cyclical, it will equal zero at regular intervals along the x-y axis and extend until infinity.

Who discovered pi in math?

The earliest recorded example of the formula for the area of a circle dates back to an Egyptian papyrus from about 1650 B.C. It gives the value of pi as (16/9)^2, which is approximately equal to 3.1605. It is not known what method of calculation the early Egyptians used.\nThe ancient Greeks continued the search for pi by inscribing polygons within a circle, reasoning that the area of a polygon with many sides closely approximates the area of the circle circumscribing it. Archimedes of Syracuse both inscribed and circumscribed a circle with polygons with increasing numbers of sides. By calculat..

What two angles have a sum of 180 degrees?

If one of the supplementary angles is 40, then the other supplementary angle is 180 – 40, or 140 degrees. When added together, two supplementary angles also form a straight angle; thus, a straight angle is also equal to 180 degrees.\nIn geometry, there are other different types of angles besides supplementary angles, such as acute and obtuse angles. While an acute angle is less than 90 degrees, an obtuse angle is more than 90 degrees but less than 180 degrees. In the example given above, the 40-degree angle is an acute angle, and the 140-degree angle is an obtuse angle.

What is the history of the square root in mathematics?

The information comes from two main sources: the Moscow Mathematical Papyrus and the Rhind, or Ahmes, papyrus. The Moscow Papyrus dates back to 1800 B.C.E. and is also known as the Golenischev Mathematical Papyrus, since it was once owned by the Egyptologist Vladimir Golenidenov. The Rhind papyrus is slightly older than the Moscow Mathematical Papyrus and dates back to 1900 B.C.E. Nevertheless, between the two papyri, there are 112 math problems with solutions, often without explanations of how the solutions were computed. For instance, on the Moscow Mathematical Papyrus, the following equatio..

How many combinations of numbers can be made from four digits from 0000 to 9999?

Only two numbers are required to figure out how many digits combinations are possible. First, calculate the number of places for digits, which, in this case, is four. Second, calculate the number of choices of digits, which, in this case, is 10. Since digits can be repeated in a combination, each of the four places for digits has 10 digit options: 10 choices for the first place, 10 for the second and so on. The total number of combinations is thus 10 x 10 x 10 x 10.

What is the definition of a perfect cube?

The perfect cube of two, for example, is eight because 2 x 2 x 2 = 8. Other positive perfect cubes include one, 27, 64 and 125. Zero is a perfect cube, and negative perfect cubes include the negatives of the positive perfect cubes. Unlike perfect squares, there is no smallest perfect cube because a negative number multiplied by itself three times is a negative number, and the sequence goes on into infinity. On the other hand, zero is the smallest perfect square because when a negative number is squared, a positive number results.

How do you find the intersection of two lines?

Find the equations of both linesDepending on the situation, both equations might be given, or the equations might have to be calculated from other given information or from an illustration. Calculate the equations in either a point/slope form or a slope/intercept form. Either form works with this process. Set both equations to equal yOnce the equations are known, rearrange the equations to get the "x" variables on one side of the equal sign and the "y" variables on the other. Solve the equations to the point where one "y" is on one side of the equation, and all the "x" variables are on the oth..

How do you calculate price per pound?

The word "per" means "for each," and the word can be replaced with a division symbol in most instances, such as miles per gallon or price per unit. This is helpful when comparing prices of products that are sold in different quantities. By dividing the prices by the number of units, the prices can be compared to find the lower price per unit.

What are the prime factors of 64?

A prime number is a number that cannot be divided evenly by another number except itself and one. For example, the number 3 is a prime number because it can only be divided by 3 and 1. Numbers that can be evenly divided by other numbers are called composite number. All even numbers, with the exception of 2, are composite numbers because they can be divided evenly by 2. The number 64 is a composite number.The prime factorization of a number is to find a list of the prime numbers that can be multiplied together to get the original number. This is different than the factorization of a number, whi..

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