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What is formed when two planes intersect?

In coordinate geometry, planes are flat-shaped figures defined by three points that do not lie on the same line. These surfaces having zero width infinitely extend into two dimensions. In Euclidean space, two discrete planes can only either cut across each other at a line segment or run parallel to each other without sharing any common points.The angle formed between two intersecting planes is called a dihedral angle, which pertains to the interior angle formed when two adjacent planes meet. This angle is typically an acute angle, which is supplemented by an obtuse angle. The sum of the dihedr..

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What is a good math lesson for a 4th grader?

Fourth grade math students should be learning the fundamentals of understanding place value, operation and geometry. Understanding place values means that students recognize that in a base-ten numerical system, each digit is related to its neighbor on the right by a factor of ten. For example, the number 70 is ten times larger than the number 7, thus 70 divided by 7 equals 10. By extension, fourth grade students can use this concept to understand how decimals work. Teaching students how to convert between decimals and fractions is also a common math lesson taught in fourth grade.\nStudents in ..

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How is geometry used in real life?

Geometry focuses on the properties of space and figures. It simplifies calculating area, perimeter and volume. It also helps people understand objects spatially, conceptualizing how the position, size and shape of a space relate to the things inside that space. For instance, if someone wants to buy a new dishwasher, knowing how that appliance fits spatially with the other cabinets, furniture and appliances in the room helps to determine what type or size of dishwasher to purchase.\nDesigners and architects deal with three-dimensional figures constantly. Geometry helps determine how a building,..

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What Is the relationship between square and triangular numbers?

An example of a square triangle is 36, because 36 is the sum of all positive integers less than or equal to 8, making it a triangular number, and is also the product of 6 x 6, making it a square number. It is important not to confuse a triangular number with a cube. A cube is the product of an integer multiplied by itself three times. For instance, 27 is a the product of 3 x 3 x 3. Since triangles have three sides and cubes are multiplied three times, beginner math students sometimes confuse these concepts.\nIt is possible to find the equation giving all numbers that are both square and triang..

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What are the factor pairs of 60?

Sixty is a composite number, which means it has other factors aside from 1 and itself. Its factors can be determined by finding the numbers it is divisible to. The factors of 60 can be listed as 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60. Its prime factors are 2 x 2 x 3 x 5. The numbers 2, 3 and 5 are prime numbers, and the product of two 2s, a 3 and a 5 is 60.

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What geometric shape is a football?

Prolate spheroids and truncated icosahedrons both have their advantages as playing ball shapes. The prolate spheroid shape of an American football allows it to be thrown with less drag. Throwing it so that the ball spins around its short axis while in flight dramatically reduces drag further, allowing it to be thrown much farther than other ball designs. The truncated icosahedron shape of soccer balls produces a roughly spherical shape when sewn together from patches of leather. Its roundness allows for predictable movement when struck from any side.

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What is the derivative of 3x?

The derivative of a function refers to the amount that the output of the function changes when the input changes by a tiny amount. When the function is graphed as a straight line, as is the case with f(x) = 3x, the derivative of the function is simply the slope of this line.\nThe field of mathematics that deals with derivatives is called differential calculus.

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Why do we use fractions?

Measurement systems exist to easily define portions and amounts of things in daily life. Miles are simple measurements of distances, pounds quantify weights and masses, and cups help to measure portions of food. However, not all portions fall neatly into whole number measurements, and fractions provide the means of measuring these amounts. For example, a precise chemical mixture might require slightly less than an entire gram of a particular substance, perhaps only one-fourth of a gram. A biker might travel more than 3 miles but less than 4 miles, or 3 1/2 miles.\nFractions themselves are spec..

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What is an oblique line segment?

A line is infinite, but a line segment is a part of a line with two endpoints. This type of line segment intersects a given plane or surface at an angle other than 90 degrees. Its slope is also not equal to zero. There are four other types of line segments: parallel, perpendicular, vertical and horizontal. If a line segment does not fit into one of these four categories, then it is usually oblique.

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What is an eccentric circle?

In order for circles to be eccentric, the inner circles must be off-center of the outermost circle. The word "eccentric" itself means "deviating from the accepted or customary practice" or "irregular." The word was first utilized in the English language as an astronomy term which referred to the perceived irregular motions of celestial bodies. It then expanded into a geometry term with the above meaning.

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