Math

Refine Search

What is the definition of "point of tangency" in geometry?

Other lines intersect a circle at two points instead of one, and these lines cut the circle at two different places forming a secant. Some mathematicians refer to the tangent as the limit case of a secant; as the secant gets further from the circle's center, the two places where the line intersects with the circle gradually merge into one point, and at that point the line becomes tangent to the circle.\nIn situations that involve two circles, the external tangents run along the edges of both circles without crossing between them, while internal tangents apply to slightly different points ..

Continue Reading

How many acute angles does a triangle have?

A triangle must be either acute, right, or obtuse. It also has three interior angles that always total 180 degrees. Because a right triangle has a right angle (exactly 90 degrees), the sum of its two remaining angles must be 90 degrees. These two angles are therefore inferred to be acute. The same holds true for an obtuse triangle, since it has an obtuse angle (measuring more than 90 degrees) that makes the sum of its two other angles be less than 90 degrees. No triangle has only one acute angle, or it wouldn't be a triangle.

Continue Reading

What are the foci of a hyperbola?

A hyperbola is a curve made up of two identical parabolas, called "branches," which curve away from a center point. Each branch has a vertex, the point on the branch closest to the center, and a focus, which is located farther from the center inside the curve of the branch. The distance from each vertex to the center is designated as "a," and the distance from each focus to the center is designated "c." For any given hyperbola, c is greater than a and both values are fixed. The foci and vertices of a hyperbola are also proportional to the distance between the center and one end of the conjugat..

Continue Reading

Why are prime numbers important in math?

In information technology, encryption algorithms, such as the Diffie-Hellman key exchange and RSA, revolve around large prime numbers. Encryption technologies have placed prime numbers at the core of electronic commerce and allow credit card information to be transmitted over the Internet in relative safety.

Continue Reading

What is a seven-sided polygon called?

The seven-sided figure is also known as a "septagon." However, this name is a combination of a Latin prefix, "septa-," with a Greek suffix, "-gon." Linguistics experts recommend use of "heptagon" as the name for this type of figure. In a regular heptagon, each of the interior angles is equal to 51.43 degrees. The word "heptagon" is rare in literature and use outside of mathematics.

Continue Reading

How do I solve piecewise functions?

The function should be analyzed to determine the nature of the various pieces.Step 1: Determine the valueDetermine the value where x will be equal for all the pieces. This will be the dividing line between the different lines that represent the various pieces.Step 2: GraphGraph the various pieces in their own area of the number line.Step 3: SolveSolve for specific values by locating them on the graph.

Continue Reading

How are multiplication and division related?

Because both operations are the opposite of each other, either can be thought of as the inverse of the other. Multiplying by a number is the same thing as dividing by the inverse of that number. For example, 3 multiplied by 4 is also the same thing as 3 divided by one-fourth. The opposite is also true; 12 divided by 4 is equal to 12 multiplied by one-fourth, which both yield 3.

Continue Reading

How can you find the LCM?

Identify the set of numbers that need an LCMGood examples of numbers that are used to find the least common multiple are the numbers 5, 6 and 15. After identifying your set of numbers, write them down for easier calculation. \nList the multiples of the set of numbers The multiples of 5 include 10, 15, 20, 25, 30, 35 and 40. The multiples of 6 include 12, 18, 24, 30, 36, 42 and 48. The multiples of 15 are 30, 45, 60, 75 and 90. A multiple of a number is a number that does not provide a remainder when divided by another number. For instance, 20 is a multiple of 10 because it divides it twice wit..

Continue Reading

Can a triangle have two perpendicular sides?

A triangle cannot have two sides perpendicular to a third side. The sum of the three angles of a triangle is exactly 180 degrees. It must have three sides and three angles. Thus, it cannot have two angles whose sum comes to 180 degrees.\nIn a right triangle, two sides are always perpendicular. The measurements of these sides are used to calculate the area of a right triangle. In an acute or an obtuse triangle, no two sides are perpendicular.

Continue Reading

What is the formula for the area of a trapezoid?

The formula for the area of a trapezoid can be derived graphically. If any trapezoid is duplicated, this shape can be rotated 180 degrees and rearranged, along with the original trapezoid shape, into the shape of a parallelogram. If the original trapezoid has base side lengths b1 and b2 and a height h, the resultant parallelogram will have sides of length"b1 + b2 and height h. The area of a parallelogram is given by the formula A = base x height, so the newly generated parallelogram will have an area of A = (b1 + b2)h. Since this parallelogram is comprised of two trapezoids of equal area, the ..

Continue Reading
Showing 1451 to 1460 of 3956 (396 Pages)