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What are some examples of acute angles found in real life?

In geometry, an angle is the endpoint, or vertex, formed when two line segments meet. Acute angles are always positive values measuring more than 0 degrees and less than 90 degrees, giving them their sharp, or acute, shape. In contrast, an obtuse angle measures between 90 and 180 degrees, creating a wider angle and a more "blunt" vertex. When a triangle has three vertices that all form acute angles, it is known as an acute triangle. For example, an acute triangle could have an 80-degree angle, a 55-degree angle and a 45-degree angle.\nAll acute angles have a complement, and collectively they a..

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How do you draw a hexagonal pyramid net?

Draw the trianglesFor the final shape to form a three-dimensional image, a hexagonal pyramid needs to consist of six connected triangles. On a piece of paper, draw six triangles side by side, ensuring that each triangle shares one side with the next. The triangles should create a half-circle once completed.Draw a hexagonDraw a hexagon that shares one side with the triangle on either edge. This acts as the base of the hexagonal pyramid.Include tabsDraw tabs on the bottoms of the other five triangles. Include a tag on the open side of the triangle attached to the hexagon. Assemble the final prod..

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What is a ray in math?

One can use capital letters to name a ray, and over the two letters is drawn a ray symbol. An alternate convention used to name a ray is to use one lower case letter.Two rays that diverge from a common starting point are called an angle. Another name for this starting point is the vertex of the angle.

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What are isometric piping drawings?

Isometric piping drawings are not drawn to scale, and are usually adapted from plan and elevation drawings. They are usually the drawings that help installation contractors the most, and also benefit the designers and manufacturers of a system greatly. Each drawing's symbols represent fittings, flanges and valves that are changed in order to scale it to the isometric grid.

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How can I calculate the mass of everyday objects?

Weigh the objectUse an accurate balance to find the weight of the object. Use beam balances for small objects and spring balances for larger ones.Weigh the object again for utmost accuracyIf you find more than one weight, take the average to minimize errors in the final reading.Use the formulaInsert the weight value in the place of "F" in the formula to provide the force. Use 9.81 m/s^2 as the value of gravitational acceleration. Divide "F" by "g" to find the mass of the object.

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What is a polygon with five sides?

The sum of all the angles inside of any polygon drawn on a flat surface is 540 degrees. In a regular pentagon, each angle has 108 degrees. In other pentagons, an individual angle cannot be more than 540 degrees or less than 0 degrees. All regular pentagons have an area that can be calculated by multiplying the square of the length of an individual side by the constant 1.72.

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What is the derivative of cosh x?

By definition, the derivative of e^x with respect to x is e^x. The derivative of e^(-x) with respect to x is -e^(-x). Therefore, d(cosh(x))/dx = (e^x - e^(-x))/2 = sinh(x). The graph of y = cosh(x) is a hyperbola with a local minimum at (0,1). The graph of y = sinh(x) is the slope of this hyperbola. This graph increases as x increases, and it has a point of inflection at the origin.

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What is the midpoint method?

The midpoint method is based on the principle that if a function is calculating a rate of change (such as a velocity graph), then the area under a given segment of the curve of that function is the displacement based on that rate of change. For example, the rate of change of f(x)=x^2 is a constant line of 2x. The area under the line y=2x between x-values 0 and 2 is 4, which is the same as f(2).\nHowever, not all rate-of-change functions, also called derivatives, are straight lines. Therefore, the area under the curve cannot be determined with a single operation. Area can be approximated using ..

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What is a pictorial representation of data?

Charts are often found alongside tables that contain the same data, because people can sometimes make observations and draw conclusions faster through graphical representations than through text. Although charts vary in form, they share common features such as titles, axes for dimensions, grids, labels and legends.\nChoosing the correct type of chart helps in presenting data clearly. A bar graph, which consists of rectangular bars whose lengths reflect the values they represent, is appropriate for comparing frequencies of categorical data. A pie chart presents each item as a slice of a circula..

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What is the square root of 81?

Because 81 is a perfect square, it is easy to find its square root. However, finding the square root of a number that is not a perfect square is more difficult. For example, the square root of 72 is 6 x √2. To find this answer, factor 72 into 2 x 36, all placed under the √ symbol, then factor out again as 2 x 6 x 6 (still under the √ symbol). As 36 is a perfect square, the 6s can be moved outside the √, resulting in the answer of 6√2.

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