1 is hard to measure small amounts of rainfall so Charlje makes rain gauge by gluing pieces of clear plastic together in the shape of triangular prism. The back, which is fixed to a post, is vertical and measures 10 cm by 20 cm. Each side is a vertical right-angled triangle. The open top is a horizontal square. 10 cm 10 cm a How many millimetres of rainfall would it take to completely fill an empty rain gauge? b Starting with an empty gauge, what will be the height of water in the gauge after 4 mm of rain has fallen? c Charlie marks a rainfall scale on the vertical edge of his what heights would the marks be for 20 mm, 40 mm, 60 mm, 80 mm, and 100 mm of rain? Give answers in centimetres rounded to one decimal place. gauge. At d One day it rained consistently all afternoon. At 3 pm, Charlie noticed that the water level in the gauge was at the 20 mm mark. At 4pm, the water level was exactly halfway between the 20 mm and 40 mm marks. To the nearest millimetre, how much rain had fallen in that hour? 20 cm
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.
To find out the answer to a,b,c and d. Im having a lot of trouble with this
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