MAT 113 Lecture 2Outline of Last Lecture I. Scientific Notation II. Examples of Scientific Notation III. Calculator UseIV. ConversionsOutline of Current Lecture V. How to do conversions of different unitsA. Example ProblemVI. Geometry FormulasCurrent LectureV. How to do conversions of different units Say we want to convert meters per second to miles per hour; we have two things going on. We simply handle them separately. The order we do that in does not matter at all. We need to convert meters to miles, which is the distance part of what is going on. And we need to convert seconds to hours. That is the time portion. It looks like this: meters -> centimeters -> inches -> feet -> miles and seconds -> minutes -> hours. (That will help you keep the process in mind.)A. Example Problem1. Convert 55 mph to feet per second. (Round to the nearest whole number and give the units as fps.)- First you would set up a proportion: 55mph/1 hour x 1 hour/60 seconds x 1 foot/12 inches- You divide the mph by how much time is in an hour, to get from mph to miles per second and then divide that by feet to get feet per second- Next, you would multiply across the top and bottom of the proportion: 55x1x1/1x60x12, which equals 81 fpsThese notes represent a detailed interpretation of the professor’s lecture. GradeBuddy is best used as a supplement to your own notes, not as a substitute.VI. Geometry FormulasIn this section, we learn the basic formulas for geometric shapes. The formulas are in the chart below. You can also use Pythagorean theorem to find the side lengths for right triangles, that formula isa2 +b2 =c2 (everything is squared). Circles Rectangles TrianglesPerimeter C = 2πr P = 2L + 2 W P = sides added upArea A = πr2A = L * W A = ½
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