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- https://phys.libretexts.org/Courses/Fresno_City_College/NATSCI-1A%3A_Natural_Science_for_Educators_Fresno_City_College_(CID%3A_PHYS_140)/02%3A_Units_Measurement_Graphing_and_Calculation/2.02%3A_Math_Review/2.2.12%3A_TrianglesTwo triangles are similar if the three angles of one triangle have the same measure as the three angles of the second triangle. The Pythagorean theorem says that the sum of the squares of the lengths ...Two triangles are similar if the three angles of one triangle have the same measure as the three angles of the second triangle. The Pythagorean theorem says that the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. If you know the lengths of all three sides of a triangle, you can use the Pythagorean theorem to verify whether the triangle is a right triangle or not.
- https://phys.libretexts.org/Courses/Fresno_City_College/NATSCI-1A%3A_Natural_Science_for_Educators_Fresno_City_College_(CID%3A_PHYS_140)/02%3A_Units_Measurement_Graphing_and_Calculation/2.02%3A_Math_Review/2.2.07%3A_Percents_Part_1Percent means “per one hundred”. A percent is a ratio or fraction with a denominator of 100 .
- https://phys.libretexts.org/Courses/Fresno_City_College/NATSCI-1A%3A_Natural_Science_for_Educators_Fresno_City_College_(CID%3A_PHYS_140)/02%3A_Units_Measurement_Graphing_and_Calculation/2.02%3A_Math_Review/2.2.10%3A_Percents_Part_3Suppose a \(12\%\) tax is added to a price; what percent of the original is the new amount? The most common error in solving this type of problem is applying the percent to the new number instead of t...Suppose a \(12\%\) tax is added to a price; what percent of the original is the new amount? The most common error in solving this type of problem is applying the percent to the new number instead of the original. Suppose a \(12\%\) discount is applied to a price; what percent of the original is the new amount? As above, the most common error in solving this type of problem is applying the percent to the new number instead of the original.
- https://phys.libretexts.org/Courses/Fresno_City_College/NATSCI-1A%3A_Natural_Science_for_Educators_Fresno_City_College_(CID%3A_PHYS_140)/02%3A_Units_Measurement_Graphing_and_Calculation/2.02%3A_Math_Review/2.2.20%3A_Mean_Median_ModeWe often describe data using a measure of central tendency. This is a number that we use to describe the typical data value. We will now look at the mean, the median, and the mode.
- https://phys.libretexts.org/Courses/Fresno_City_College/NATSCI-1A%3A_Natural_Science_for_Educators_Fresno_City_College_(CID%3A_PHYS_140)/02%3A_Units_Measurement_Graphing_and_Calculation/2.02%3A_Math_Review/2.2.13%3A_Area_of_Polygons_and_CirclesWe have seen that the perimeter of a polygon is the distance around the outside. Perimeter is a length, which is one-dimensional, and so it is measured in linear units (feet, centimeters, miles, etc.)...We have seen that the perimeter of a polygon is the distance around the outside. Perimeter is a length, which is one-dimensional, and so it is measured in linear units (feet, centimeters, miles, etc.). The area of a polygon is the amount of two-dimensional space inside the polygon, and it is measured in square units: square feet, square centimeters, square miles, etc.
- https://phys.libretexts.org/Courses/Fresno_City_College/NATSCI-1A%3A_Natural_Science_for_Educators_Fresno_City_College_(CID%3A_PHYS_140)/02%3A_Units_Measurement_Graphing_and_Calculation/2.06%3A_Measurement/2.6.05%3A_Other_ConversionsWhen we get to units of time larger than weeks, however, we encounter problems because not all months have the same number of days, a year is not exactly \(52\) weeks, and the time it takes for the Ea...When we get to units of time larger than weeks, however, we encounter problems because not all months have the same number of days, a year is not exactly \(52\) weeks, and the time it takes for the Earth to orbit the Sun is not exactly \(365\) days. The destructive power of nuclear weapons is measured in kilotons (the equivalent of \(1,000\) tons of TNT) or megatons (the equivalent of \(1,000,000\) tons of TNT).
- https://phys.libretexts.org/Courses/Fresno_City_College/NATSCI-1A%3A_Natural_Science_for_Educators_Fresno_City_College_(CID%3A_PHYS_140)/02%3A_Units_Measurement_Graphing_and_Calculation/2.06%3A_Measurement/2.6.07%3A_Converting_Units_of_VolumeJust as we saw with area, converting between units of volume requires us to be careful because cubic units behave differently than linear units.
- https://phys.libretexts.org/Courses/Fresno_City_College/NATSCI-1A%3A_Natural_Science_for_Educators_Fresno_City_College_(CID%3A_PHYS_140)/02%3A_Units_Measurement_Graphing_and_Calculation/2.02%3A_Math_Review/2.2.03%3A_DecimalsDecimal notation is based on powers of 10 : 0.1 is one tenth, 0.01 is one hundredth, 0.001 is one thousandth, and so on.
- https://phys.libretexts.org/Courses/Fresno_City_College/NATSCI-1A%3A_Natural_Science_for_Educators_Fresno_City_College_(CID%3A_PHYS_140)/02%3A_Units_Measurement_Graphing_and_Calculation/2.02%3A_Math_Review/2.2.15%3A_Surface_Area_of_Common_SolidsIn this module, we will look the surface areas of some common solids. (We will look at volume in a later module.) Surface area is what it sounds like: it’s the sum of the areas of all of the outer sur...In this module, we will look the surface areas of some common solids. (We will look at volume in a later module.) Surface area is what it sounds like: it’s the sum of the areas of all of the outer surfaces of the solid. When you are struggling to wrap a present because your sheet of wrapping paper isn’t quite big enough, you are dealing with surface area.
- https://phys.libretexts.org/Courses/Fresno_City_College/NATSCI-1A%3A_Natural_Science_for_Educators_Fresno_City_College_(CID%3A_PHYS_140)/02%3A_Units_Measurement_Graphing_and_Calculation/2.02%3A_Math_Review/2.2.06%3A_Perimeter_and_CircumferenceA polygon is a closed geometric figure with straight sides. Common polygons include triangles, squares, rectangles, parallelograms, trapezoids, pentagons, hexagons, octagons… The perimeter of a polygo...A polygon is a closed geometric figure with straight sides. Common polygons include triangles, squares, rectangles, parallelograms, trapezoids, pentagons, hexagons, octagons… The perimeter of a polygon is the distance around the outside. In general, to find the perimeter of a polygon, you can add up the lengths of all of its sides.
- https://phys.libretexts.org/Courses/Coalinga_College/Physical_Science_for_Educators_(CID%3A_PHYS_14)/02%3A_Units_Measurement_Graphing_and_Calculation/2.02%3A_Math_Review/2.2.17%3A_Volume_of_Common_SolidsThe surface area of a solid is the sum of the areas of all its faces; therefore, surface area is two-dimensional and measured in square units. The volume is the amount of space inside the solid. Volum...The surface area of a solid is the sum of the areas of all its faces; therefore, surface area is two-dimensional and measured in square units. The volume is the amount of space inside the solid. Volume is three-dimensional, measured in cubic units. You can imagine the volume as the number of cubes required to completely fill up the solid.