Geometry

A straight angle measures 180 degrees. If 5 adjacent angles are equal in size and they together form a straight angle, each angle can be found by dividing 180 degrees by 5. Thus, each angle measures 36 degrees.

pi is an irrational number at 3.141592.... ( recur to infinity and decimals in no regular order.

Let me tell you a story!!!!

It was found by the 'Ancient Civilisations' that when a donkey is used to drive up water from well, it was tethered to a rope/halter, the radius. It walked round the well head tied to the halter. in a big circle, the circumference.

It was found by the ancients, that twice the radius, the diamter, has a direct proportion to the circumference.

It didn't how big/small the circumference was, compared to the radius/diameter the proportion always remained the same at 3.141592.... (pi).

So the ancints constructed an equation.

C is directly proportional to diameter ,d,

This proportion is always constant hence a 'k' for constancy is inserted.

C = kd

or

k = C/d

This constant 'k' was given the name 'pi', which is the lower case Classical Greek letter 'p'. and stands for proportion.

So ther you have it!!!!!

Remember and commit to memory.

C = 2 pi r or C = pi d

A = pi r^(2)

Where C = Circumference

A = Area

pi is a constant at 3.1416

r = is the radius

d is the dianter ; 2r = d

r^(2) = r x r = 'r' squared.

So selecting r = 7 inches

Then C = 2* (3.1416)* 7

C = 14*3.1416

C = 43.98229....

C ~ 43.99 inches.

NB In school you may be given pi =

pi = 3.14, 3.1416, 22/7

These are only approximations, but given for ease of calculating.

pi = 3.141592.... Is an irrational number and the decimals recur to infinity, AND are in no regular numerical order.

To find ( x ) in the sequence ( 100, 88, 120 ), we first look for a pattern. The first two numbers decrease by 12 (from 100 to 88), while the second and third numbers increase by 32 (from 88 to 120). Without additional context or a specific mathematical operation to apply, it is unclear what ( x ) should represent in relation to these numbers. More information about the relationship or operation is needed to determine ( x ).

A corner on a cube, also known as a vertex, is a point where three edges of the cube meet. In a standard cube, there are a total of eight corners. Each corner is defined by the intersection of the three-dimensional space that forms the cube's structure. Corners are crucial for determining the cube's geometry and spatial orientation.

When measuring a liquid volume in a graduated cylinder, your eye level should be at the same height as the meniscus, which is the curved surface of the liquid. This ensures that you are reading the measurement accurately at the bottom of the meniscus. Standing too high or too low can lead to parallax errors, resulting in incorrect readings. Always ensure the cylinder is on a flat, stable surface for the best accuracy.

Between bar lines are the vertical lines in musical notation that separate measures or bars. They help musicians understand the rhythmic structure of the music, indicating where each measure begins and ends. Each measure contains a specific number of beats, determined by the time signature, which is crucial for maintaining the correct tempo and rhythm during performance.

Rhombuses can be found in various real-life applications, such as in design and architecture, where their symmetrical properties add aesthetic appeal to structures and artwork. They are also common in tiling patterns and flooring designs, providing a unique visual effect. Additionally, rhombuses are utilized in engineering and manufacturing, particularly in the design of certain mechanical components and in creating specific shapes in materials. Overall, their geometric properties make them useful in both functional and decorative contexts.

Yes, it is possible for a parallelogram to have two right angles. In fact, if a parallelogram has one right angle, all four angles must be right angles due to the properties of parallel lines and transversals. This means that such a parallelogram is actually a rectangle. Thus, a parallelogram with two right angles is a special case of a rectangle.

A right angle measures 90 degrees. To find its reflex angle, you subtract the right angle from 360 degrees. Therefore, the reflex angle is 360 degrees - 90 degrees, which equals 270 degrees.

Paper folding, or origami, allows for a variety of constructions, including simple shapes like cranes, boats, and frogs, as well as complex designs such as modular structures and intricate geometric shapes. It can also be used to create functional items like envelopes, boxes, and even mathematical models. Additionally, paper folding techniques can be applied in art, design, and engineering to develop innovative concepts and prototypes. Overall, the versatility of paper folding enables a wide range of creative and practical applications.

The fair use principle allows limited use of copyrighted material without obtaining permission from the copyright owner, primarily for purposes such as criticism, comment, news reporting, teaching, scholarship, or research. Whether a specific use qualifies as fair use depends on four factors: the purpose and character of the use, the nature of the copyrighted work, the amount and substantiality of the portion used, and the effect of the use on the market for the original work. Fair use is not a blanket exemption; it is determined on a case-by-case basis.

The lines that separate countries are called "borders" or "boundaries." These can be natural, such as rivers or mountains, or artificial, often established through treaties or historical agreements. Borders play a crucial role in defining the territorial limits of a country and regulating the movement of people and goods.

A nonagonal prism has two parallel nonagonal bases, each with 9 vertices. Each vertex of the nonagon connects to two adjacent vertices and to the corresponding vertex on the opposite base, leaving 6 vertices that can be connected diagonally. Since there are 9 vertices in the base, each vertex has 6 diagonals, resulting in a total of 6 diagonals per vertex in the nonagonal prism.

Quadrilaterals that typically have no right angles include parallelograms (unless they are rectangles), rhombuses, and trapezoids that are not right trapezoids. Additionally, irregular quadrilaterals can also lack right angles. These shapes can have angles that are acute or obtuse, thus avoiding 90-degree angles altogether.

The phrase "extent from side to side" typically refers to the width or breadth of an object, area, or space. It describes how far something measures across at its widest point. This measurement can be crucial in various contexts, such as architecture, design, and geography, where understanding the span of a feature is important for planning or analysis.

Two distinct lines can intersect at most at one point. If the lines are not parallel, they will cross at a single point. If they are parallel, they will never intersect. Therefore, the maximum number of intersection points for two distinct lines is one.

No, not every quadrilateral is a parallelogram. A parallelogram is a specific type of quadrilateral that has opposite sides that are both parallel and equal in length. While all parallelograms are quadrilaterals, there are many other types of quadrilaterals, such as trapezoids and kites, that do not meet the criteria to be classified as parallelograms.

The agreement that compromised between the two sides is often referred to as the "Great Compromise" or "Connecticut Compromise." This was possible due to the need for a balanced representation in the legislature, as larger states favored representation based on population while smaller states sought equal representation. The compromise established a bicameral legislature, with the House of Representatives based on population and the Senate granting equal representation to each state, thus addressing the concerns of both sides.

The vertex form of a quadratic function is expressed as ( f(x) = a(x-h)^2 + k ), where ( (h, k) ) represents the vertex of the parabola. To find the vertex when a quadratic is in vertex form, simply identify the values of ( h ) and ( k ) from the equation. The vertex is located at the point ( (h, k) ).

Placing the cover slip at a 45-degree angle helps to minimize the formation of air bubbles when it is lowered onto the specimen. This technique allows the liquid sample to spread evenly beneath the cover slip, ensuring a more uniform thickness and better optical clarity for viewing under a microscope. Additionally, it facilitates the proper sealing of the slide, which can help prevent contamination and evaporation of the specimen.

The average length of stay in an interpretive center typically ranges from one to two hours, depending on the center's size, the number of exhibits, and available activities. Visitors often spend more time if there are guided tours, interactive displays, or special programs. Additionally, individual interests and group dynamics can influence the duration of the visit. Overall, the experience is designed to be engaging yet concise to accommodate varying visitor schedules.

Yes, an arrowhead, often referred to as a kite in geometry, has perpendicular diagonals. The longer diagonal bisects the shorter one at a right angle, creating four right triangles within the shape. This characteristic is one of the defining properties of a kite.

The area enclosed by an outline refers to the two-dimensional space contained within a closed geometric shape, such as a circle, square, or triangle. This area can be calculated using various mathematical formulas depending on the shape. For example, the area of a rectangle is found by multiplying its length by its width, while the area of a circle is calculated using the formula (A = \pi r^2), where (r) is the radius. Essentially, it represents the total space within the boundaries defined by the outline.

The vertical lines on a map are called meridians. They represent lines of longitude, which measure the distance east or west of the Prime Meridian. Meridians run from the North Pole to the South Pole and are used to help determine geographic coordinates.