Geometry

A polygon with 72 sides is called a "heptacontagon." The prefix "heptaconta-" is derived from Greek, where "hepta-" means seven and "-conta" refers to the tens, indicating a combination of seven groups of ten sides.

To find the area of a circle from its circumference, you can use the relationship between the two. The circumference (C) is given by the formula ( C = 2\pi r ), where ( r ) is the radius. First, solve for the radius by rearranging the formula: ( r = \frac{C}{2\pi} ). Then, use the area formula ( A = \pi r^2 ) to find the area by substituting the radius you calculated.

The perimeter of a rectangle is the distance around the rectangle. The area of a rectangle is the space inside the rectangle. To calculate either one you need the length and the width of the rectangle. To calculate the area multiply the length times the width. To calculate the perimeter add the length+width+length+width (that is the distance all the way around)

The width is 22/8 or 11/4 or 2.75. The length is 66/8 or 33/4 or 8.25.

Length = 3W

3W + 3W + W + W = 8W

8W = 22

W = 22/8

L = 66/8

Then, you can simplify as you choose.

NO!!!

The sum of the two shorter sides ( 8 + 9 = 17) MUST be greater than the longest side 20

17 < 20 So not possible

V = (4/3) pi r^(3)

V = ( 4/3) pi ( 59.7cm)^(3)

V = 1.333..... X 3.141592,.... X 212,776.173 cm^(3)

V = 891,274.74925 cm^(3) = 0.89127474... m^(3)

Volume (sphere) = (4/3) pi r^(3) Hence by algebraic rearrangement

3V = 4pi r^(3)

r^(3) = 3V/(4pi)

r = ( 3V/4pi)^(1/3) ; that is the 'cube root'.

A cube is a three-dimensional geometric shape with six equal square faces, twelve equal edges, and eight vertices. It is a type of polyhedron specifically classified as a regular hexahedron, as all its angles are right angles and all its faces are congruent. Additionally, a cube exhibits properties of symmetry, having rotational and reflective symmetry.

A shape that has two pairs of adjacent sides that are equal is a rectangle. In a rectangle, opposite sides are equal in length, and the adjacent sides also have equal lengths due to the right angles formed at each corner. Additionally, a rhombus is another example, where all four sides are equal, and consequently, it has two pairs of adjacent sides that are equal.

To determine if your crank is 360 degrees off, check the position of the crank relative to the pedals and the corresponding position of the chainring. If the crank is positioned such that the pedals are at the top and bottom dead center simultaneously, it indicates a 360-degree rotation. Additionally, you can use a crank arm alignment tool or check the chain's tension and alignment with the chainring. If the chain is misaligned when the crank is in a given position, it may suggest a misalignment in the crank's rotation.

A pipeslem triangle is a tool used in plumbing to determine the proper placement and alignment of pipes. It helps ensure that pipes are installed at the correct angles and distances, facilitating efficient drainage and flow. By using this triangle, plumbers can avoid issues such as clogs or leaks, ultimately contributing to the overall effectiveness of a plumbing system.

Conditional instability occurs when an air parcel becomes buoyant and rises in the atmosphere due to certain conditions, despite the surrounding environment being stable. This typically happens when the air parcel is warmer and more humid than its surroundings, leading to less density. As the parcel rises, it cools and may reach a point where it becomes cooler than the surrounding air, thus becoming stable again. However, if the environmental lapse rate is steep enough, the parcel can continue to rise until it reaches a stable layer, potentially leading to the development of clouds and precipitation.

The number of peaks in a pyramid typically refers to the number of vertices at the top of its triangular faces. In a standard triangular pyramid (tetrahedron), there is one peak. For a square pyramid, there is also one peak at the apex. In general, a pyramid has one peak regardless of the shape of its base.

The surface area is the sum of all the shapes' area

A capital A is usually used as a symbol for area in math.

The shape with six congruent faces that are all squares is a cube. A cube is a three-dimensional geometric figure where each face is a square, and all edges are of equal length. It has 12 edges and 8 vertices, making it a regular polyhedron known as a platonic solid.

A figure without angles or straight lines is called a "curvilinear figure." These figures consist entirely of curved paths and can include shapes like circles, ellipses, or any other form that lacks sharp points or linear edges. They are characterized by their smooth, flowing outlines.

The surface area ( A ) of a sphere is given by the formula ( A = 4\pi r^2 ), where ( r ) is the radius. When the diameter increases from 2 µm to 20 µm, the radius changes from 1 µm to 10 µm. Therefore, the original surface area is ( 4\pi(1^2) = 4\pi ) µm², and the new surface area is ( 4\pi(10^2) = 400\pi ) µm². Thus, the surface area increases by a factor of 100 (from ( 4\pi ) to ( 400\pi )).

Collenchyma cells are thickened at the corners to provide structural support while allowing for flexibility in growing plant tissues. This corner thickening helps the plant withstand mechanical stress and bending without breaking, making it particularly important in young stems and petioles. The uneven distribution of cellulose in the cell walls contributes to this specialized structure, enabling collenchyma to maintain strength and resilience during growth.

To find the perimeter of a rectangle, you need both the length and width. The area of a rectangle is calculated as length × width. Given the area is 36 cm², you can have multiple pairs of length and width (e.g., 6 cm × 6 cm, 12 cm × 3 cm, etc.), leading to different perimeters. The perimeter is calculated as P = 2(length + width), so without specific dimensions, the perimeter cannot be determined uniquely.

Congruent angles must have the same measure in degrees or radians, meaning they represent the same angle size. This property ensures that when two angles are congruent, they can be superimposed on one another without any gaps or overlaps. Additionally, congruent angles can occur in different contexts, such as in triangles or other geometric figures, where they help define relationships and properties within the shapes.

Equal in size and shape refers to objects or figures that have the same dimensions and geometric form. For example, two circles with the same radius are equal in size and shape, as are two squares with the same side length. This concept is essential in geometry and mathematics when comparing and analyzing figures. It ensures that the objects can be considered identical in their spatial characteristics.

To store snow cone syrup, keep it in a cool, dark place, preferably in a sealed container to prevent contamination and maintain freshness. If opened, it's best to refrigerate the syrup to extend its shelf life, typically up to several months. Always check for any signs of spoilage before use, such as changes in color or smell. For long-term storage, consider freezing the syrup in ice cube trays for easy portioning.

A "z" with a circle around it typically represents the mathematical symbol for the set of integers, often denoted as ℤ. This symbol originates from the German word "Zahlen," which means "numbers." It's commonly used in mathematics to denote the set of all whole numbers, both positive and negative, including zero.

Both a cube and a triangular prism are three-dimensional geometric shapes that have volume and can be classified as polyhedra. They are made up of flat polygonal faces, with a cube consisting of six square faces and a triangular prism having two triangular bases and three rectangular lateral faces. Additionally, both shapes have edges and vertices, contributing to their structural integrity and defining their geometric properties.