Question 009A: Complete the following questions involving the amount of Force that is exerted on a Dam when holding back a fluid. A Dam is in the shape of a Tapezoid. Use the picture below and your calculator to determine the Width of the Right Side of the Dam. +24, 4 12. f12.09 -40 -2 -24 O y = 0.3x + 12 y = 3.333x - 40 Oy = x - 12| Oy= 40 QUESTION 21 Question 009B: Complete the following questions involving the amount of Force that is exerted on a Dam when holding back a fluid. Now that you have a formula for the width of the right side of the dam, get the letter "x" by itself, then multiply by two to get the width for the en O Width = 80 Width =y+ 80 3.333 Width = 6.666x - 80 y+ 40 Width= 3.333 QUESTION 22 Question 009C: Complete the following questions involving the amount of Force that is exerted on a Dam when holding back a fluid. The Dam has a maximum height of 40 m. Find the formula for the depth that the water can be. Depth = Max Height - y O Depth = 12 - y Depth = 40 - y Depth = y - 40 O Depth = 24 - y 0000
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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