Geometry

A regular doodle star typically has angles that vary based on its design, but if we consider a simple five-pointed star, the internal angles at the tips of the star are each 36 degrees. The angles between the points (the inward angles) can vary depending on how the star is drawn, but they often measure around 108 degrees. The exact measurements can differ based on the specific style and proportions of the doodle star.

Mo such shape/thing as a 'polgon'.

If you mean ' polygon'.

The word 'polygon' means a 2-dimensional shape (--gon) of many sides (poly--).

So the word 'polygon' mean an many sided shape.

For a specific number of sides it becomes;-

trigon ( triangle) 3 sides

quadragon ( quadrilateral ) 4 sides

pentagon 5 sides

et seq.,

Three sides. They are

Obverse ( Front)

Reverse ( Back)

Rim ( rounded edge).

When a plane intersects both nappes of a right circular cone without passing through the vertex, the resulting curve is a hyperbola. This occurs because the plane cuts through both sides of the cone, creating two separate branches of the hyperbola. The precise shape and orientation of the hyperbola depend on the angle at which the plane intersects the cone.

To find the lateral surface area of a pyramid, calculate the area of each triangular face and sum them up. For a regular pyramid, this can be done using the formula ( \text{Lateral Surface Area} = \frac{1}{2} \times \text{Perimeter of the base} \times \text{Slant height} ). The total surface area is then found by adding the area of the base to the lateral surface area: ( \text{Total Surface Area} = \text{Lateral Surface Area} + \text{Area of the base} ).

Yes, a precision approach can be circled off if the pilot determines that they cannot safely land on the intended runway. This decision is typically made when there are unfavorable weather conditions, obstacles, or other hazards that compromise safety. The pilot would execute a go-around and maneuver the aircraft to enter a different traffic pattern or approach to another runway if necessary. It's crucial for pilots to prioritize safety and follow established procedures during such situations.

The vertical distance between two points refers to the difference in their vertical coordinates, typically measured along the y-axis in a Cartesian coordinate system. This distance can be calculated by subtracting the y-coordinate of one point from the y-coordinate of the other. It is often used in various applications, such as geometry, physics, and engineering, to determine elevation changes or heights.

The combination of sizes of shapes and grains refers to the diversity in the dimensions and forms of particles or materials within a specific sample. This variation can influence properties such as texture, strength, and flow behavior in materials like soils, sediments, or granular substances. Analyzing these combinations helps in understanding how materials interact and perform in various applications, from construction to filtration.

The cable cross section for a 150 kVA load depends on several factors, including the voltage level, installation method, ambient temperature, and allowable voltage drop. Generally, for a three-phase system at 400V, a cable size of around 35 to 50 mm² is commonly used, but this can vary. It's essential to consult the relevant electrical standards and perform calculations based on specific installation conditions to ensure safety and compliance. Always consider seeking advice from a qualified electrical engineer for precise sizing.

Sin(Sine) is a cyclic curve.

This cyclic curve(wave) that repeats every 360 degrees ( or 2pi radian).

Its Amplitude ranges from (+)1 to (-)1

When learning about trigonometry(Trig.) you only learn the bit between 0 degrees and 90 degrees.

On extending this learning you will find it to be a cyclic curve.

The word 'Sine'(Sin) is from Latin and means 'curve'.

The word 'Cosine(Cos) means 'complimentary sine' . It is the same curve as Sine but shifted along the x-axis by 90 degrees.

The Ratios is

Sin(angle) = opposite/ hypotenuse.

A major arc is a portion of a circle that is greater than 180 degrees. Its measure is calculated as the difference between 360 degrees and the measure of the corresponding minor arc. Therefore, if a minor arc measures, for example, 120 degrees, the major arc would measure 240 degrees. In summary, a major arc's measure is always greater than 180 degrees and less than 360 degrees.

Polygons with 21 to 100 sides are named using a combination of Greek or Latin prefixes and the suffix "-gon." For example, a polygon with 21 sides is called a "icosagon," while a 22-sided polygon is a "dicosagon." This naming convention continues up to 100 sides, where a polygon with 100 sides is known as a "hectogon." Each name typically combines the prefix indicating the number of sides with the "-gon" suffix.

A regular star, specifically a five-pointed star (pentagram), has 10 lines of symmetry. Each line of symmetry can be drawn through a vertex and the midpoint of the opposite side or through the midpoints of two opposite points. For stars with more points, such as a six-pointed star, the number of lines of symmetry would vary accordingly.

In a regular polygon with 5 sides (a pentagon), each interior angle can be calculated using the formula ((n - 2) \times 180^\circ / n), where (n) is the number of sides. Substituting (n = 5), we get ((5 - 2) \times 180^\circ / 5 = 108^\circ). Therefore, each interior angle in a regular pentagon measures 108 degrees.

The two angles described are known as adjacent angles. They share a common vertex and one side, while the other sides of the angles are formed by extending the common side in different directions. Since they do not overlap, adjacent angles can be found in various geometric configurations, such as in polygons or when two lines intersect.

A mexagon is a geometric shape with six sides and six angles, similar to a hexagon. Each side is typically of equal length, and the angles are generally equal as well, making it a regular polygon. Visually, it appears like a flat, two-dimensional figure with a symmetrical, rounded appearance. The term "mexagon" is less common than "hexagon," but it represents the same shape.

NO!!!!

The 'hypotenuse' only refers to the longest side of a Right-Angled triangle.

Assuming the triangle to be a right-angled triangle, then use Pythagoras.

h^(2) = (0.024)^(2) + ( 0.007)^(2)

h^(2) = 0.000576 + 0.000049

h^(2) = 0.000625

h = sqrt(0.000625)

h = 0.025 The answer!!!!!

Depending on the information given;-

If two other(shorter) sides are known, use Pythagoras.

h^(2) = a^(2) + b^(2)

If one angle and one side are given then you use Trigonometry .

Sin(angle) = opposite/ hypotenuse

hypotenuse = opposite/Sin(angle)

or

Cos(angle) = adjacent/hypotenuse

hypotenuse = adjacent/ Cos(Angle).

Apply Pythagoras.

11^(2) = 8^(2) + s^(2)

Algebraically rearrange

s^(2) = 11^(2) - 8^(2)

Factor

s^(2) = ( 11 - 8)(11 + 8)

s^(2) = 3(19)

s^(2) = 57

s = sqrt(57)

s = 7.549834435.... ~ 7.55 (2 d.p.).

NB

You can only factor two squared terms when there is a NEGATIVE (-) between them. You CANNOT factor two squared terms with a positive(+) between them.

The HYPOTENUSE is the side of a Right-Angled Triangle, opposite to the 90 degree angle.

It is the LONGEST side of a right angled triangle.

Impossible to tell from the given information.

You need at least the length of the other side , then apply Pythagoras.

or

An angular value and apply trigonometry.

NB You need the length of TWO sides or TWO angles.

For ANY triangle on a 2-dimensional surface ALWAYS add to 180 degrees.

Hence

20 + 90 + x = 180

110 + x = 180

x = 70 The value of the third angle.

To test if a triangle in right angled. apply Pythagorean Formula

H^(2) = s^(2) + S^(2)

H is the hypotenuse and will always be the longest side.

Hence

for a 20, 40 , 80 triangle.

H ; 80^(2) = 6400

s^(2) + S^(2) [ 20^(2) + 40^(2) = 400 + 1600 = 2000

2000 is NOT equal to 6400. Hence for the given dimensions it is NOT a Right-Angled triangle.