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How do you cut a circle into eight pieces with three cuts?

This is a bit of a trick question, and it is meant to make the solver think outside of the box. Step by step, the process is:\n\nThe circle is cut in half lengthwise with the first cut\nThe circle is cut vertically with the second cut, leaving four pieces of the circle (quarters)\nThe four pieces of the circle are stacked in a pile four high\nThe circle is cut in half with a final cut, leaving eight pieces\n

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What steps are involved in linear programming?

For example, take the system of y < -x +3, y < 2x - 1, and y > x +1. Arranging each of those inequalities into pairs and solving for x and y yields (1,2), (4/3, 5/3) and (2,3) as the three points at which the lines intersect. The optimal value for the linear system is always at one of these points, because it represents the edge of the constraints.\nNext, assume the expression for choosing optimal values is p = 2x + 4y. Take each of the three vertices of the system, entering each x and y value into the equation to see which has the largest value. Respectively, the results are 10, 9.3 and 16. T..

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What is the difference between a formula and a function?

In Excel, formulas allow the user to carry out mathematical calculations ranging from simple addition or subtraction and ranging to far more complex operations. Entering a formula always begins with clicking on the cell where the result of the formula is to appear and then entering the equal sign (=) to indicate to the program that a formula is about to appear.\nIt is possible to enter numbers directly into the formula, but it is better to enter cell locations, so that if changes are necessary to those values, the formula still works. Using constant numbers means that it is necessary to revise..

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Is there a program to help you quickly learn calculus?

Because a students' progress in calculus depends on her dedication, concentration and natural aptitude, none of the available resources can guarantee results. However, some people have found that concentrated study of the MIT materials over a condensed course gives good results. For those who prefer a dedicated piece of software, CLEP Professor offers programs for pre-calculus and AP calculus.

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What is the square root of 3?

The square root of a number is the value that equals the original number when it is multiplied by itself. For example, the square root of 16 is 4, as 4 x 4 = 16, and the square root of 9 is 3, as 3 x 3 = 9. Identifying a number's square root may be used to solve the distance between two points, identify the length of a side of a right triangle, solve quadratic equations and find normal distribution and standard deviation in data sets.

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Where can you find a free basic calculator?

Online Calculator's calculator can perform every basic utility calculation that a pocket calculator is capable of. Its range includes addition and subtraction alongside multiplication and division, simple tasks that any computer user might need regular access to and knowledge of. The keys allow for simple graphical input of a given calculation, then immediate execution of said calculation.The site's calculator can also perform functions such as discovering the square root of a given number. This is useful for more advanced calculations in trigonometry and other intermediate and advan..

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How are triangles used in the real world?

Right-angled triangles are used alongside trigonometry to solve real-world distance problems, such as the distance a ladder of a known length can go up against a wall, if the angle the ladder makes with the ground is also known. The concept also helps determine the flight path (the distance traveled from the original point and bearing) of a plane that flies at a known speed for some hours, turns at a known angle at the same speed and continues to fly for a known number of hours.\nA sandwich may be shaped like a triangle. A staircase makes a right-angled triangle, with its length being the hypo..

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How do you calculate the pre-exponential factor?

Rearrange the Arrhenius equationRearrange the Arrhenius equation, k = Ae^(-E_a / RT), to resemble a linear equation, ln(k) = ln(A) - (E_a / R) * (1 / T). E_a is the activation energy, T is the temperature in Kelvin, and R is the gas constant. The values of ln(k) represent the y coordinates, the values of (1 / T) represent the x coordinates, the slope is -(E_a / R), and the y-intercept is ln(A).Plot the x and y coordinatesPlot the values of ln(k) and (1 / T) on a graph, and draw a straight line through the points.Determine the y-intercept, and solve for AThe y-intercept is determined by extendi..

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How can you use partial product multiplication to solve two-by-two multiplication problems?

First, break each number down into its components by place value. Assuming as an example you're multiplying 23 and 14, the components are 20, 10, 3 and 4. If it helps, draw a chart to separate each partial product. First, multiply the digits in the tens place, which are 20 and 10 in this case, yielding a partial product of 200. Multiply the ones digits next, providing you with 12. Then, multiply each tens digit by its opposite ones digit. For the example, these are 20 multiplied by 4 and 10 multiplied by 3.\nAll the partial products in the example are 200, 80, 30 and 12, which add to 322...

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What is a good math slogan?

Many students remember getting docked points for providing correct answers to their math homework without being able to show their work in how they arrived at the correct answer. This is because math is really just a process. If a student learns how to use the process, they are able to answer any question thrown at them regardless of its perceived difficulty. This is true in life, as well, where it does not necessarily matter where a person ends up, what is important is the journey they took to get there.

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