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- https://k12.libretexts.org/Bookshelves/Science_and_Technology/Earth_Science/02%3A_Introduction_to_Earth_Science/2.04%3A_LocationIf you want to meet up with a friend, you could tell him “I am two blocks due north of your apartment.” Can you identify the point of reference, the distance, and the angle? (a) You need a GPS receive...If you want to meet up with a friend, you could tell him “I am two blocks due north of your apartment.” Can you identify the point of reference, the distance, and the angle? (a) You need a GPS receiver to use the GPS system. (b) It takes signals from four GPS satellites to find your location precisely on the surface. The receiver uses the time and the speed of radio signals to calculate the distance between the receiver and the satellite.
- https://k12.libretexts.org/Bookshelves/Science_and_Technology/Measurement/04%3A_Length/4.05%3A_Metric_Units_of_Length/4.5.04%3A_Metric_Length_Comparison_in_Meters_Centimeters_and_MillimetersHer instructions say that she needs to cut one of the boards in to a piece that is 200 centimeters long, but she only has a meter stick. Let’s say that you wanted to compare two different units to fig...Her instructions say that she needs to cut one of the boards in to a piece that is 200 centimeters long, but she only has a meter stick. Let’s say that you wanted to compare two different units to figure out which is greater and which is less. The first thing that you need to do is convert the measurements so that the unit of measurement is the same. The answer is that 2 m is greater than 1 m. Juliana can measure 200 cm with the meter stick, but she would need to use the meter stick twice.
- https://k12.libretexts.org/Bookshelves/Science_and_Technology/Physics/17%3A_Electric_Circuits/17.05%3A_Combined_Series-Parallel_CircuitsIn the combination circuit sketched below, find the equivalent resistance for the circuit, find the total current through the circuit, and find the current through each individual resistor. Try to add...In the combination circuit sketched below, find the equivalent resistance for the circuit, find the total current through the circuit, and find the current through each individual resistor. Try to add several bulbs in series and observe the circuit diagram to see what happens to the current, resistance, and brightness of the bulbs. Three 15.0 Ω resistors are connected in parallel and the combination is then connected in series with a 10.0 Ω resistor.
- https://k12.libretexts.org/Bookshelves/Mathematics/Geometry/05%3A_Quadrilaterals_and_Polygons/5.17%3A_Area_and_Perimeter_of_Rhombuses_and_KitesArea is half the product of the diagonals; perimeter is the sum of the sides. If we move the two triangles on the bottom of each quadrilateral so that they match up with the triangles above the horizo...Area is half the product of the diagonals; perimeter is the sum of the sides. If we move the two triangles on the bottom of each quadrilateral so that they match up with the triangles above the horizontal diagonal, we would have two rectangles. So, the height of these rectangles is half of one of the diagonals and the base is the length of the other diagonal. To find the perimeter, you must find the length of each side, which would be the hypotenuse of one of the four triangles.
- https://k12.libretexts.org/Bookshelves/Mathematics/Precalculus/09%3A_Conics/9.02%3A_Section_2-The focal length is p=12 which means the focus is 12 to the right of the vertex at (-2.5,-1) and the directrix is 12 to the left of the vertex at x=−3.5. Wha...The focal length is p=12 which means the focus is 12 to the right of the vertex at (-2.5,-1) and the directrix is 12 to the left of the vertex at x=−3.5. What is the equation of a parabola that opens to the right with focal width from (6,-7) to (6,12)? The focus is in the middle of the focal width.
- https://k12.libretexts.org/Bookshelves/Science_and_Technology/Origins_and_the_Search_for_Life_in_the_Universe/02%3A_A_Little_Astrophysics/2.01%3A_Electromagnetic_RadiationIn both of those cases (r = the radius of the star; r = the orbit of the Earth), if we integrate (or "add up") the flux on the surface of a sphere at that distance, the total equals the luminosity of ...In both of those cases (r = the radius of the star; r = the orbit of the Earth), if we integrate (or "add up") the flux on the surface of a sphere at that distance, the total equals the luminosity of the star.
- https://k12.libretexts.org/Bookshelves/Geography/04%3A_Latin_America_(10_days)/4.08%3A_South_America-_The_Southern_Cone_(1_Day)To the east of the northern region—on the other side of the Paraná River and reaching to the banks of the Uruguay River—is the region called Mesopotamia, whose name means “between rivers.” This unique...To the east of the northern region—on the other side of the Paraná River and reaching to the banks of the Uruguay River—is the region called Mesopotamia, whose name means “between rivers.” This unique region has a variety of features, from flatlands for grazing livestock to subtropical rain forests.
- https://k12.libretexts.org/Bookshelves/GeographyThumbnail: Kremlin Churches – Photo by Joel Weigand
- https://k12.libretexts.org/Bookshelves/Mathematics/College_Algebra/Chapter_9/Section_1%3A
- https://k12.libretexts.org/Bookshelves/Mathematics/Analysis/01%3A_Analyzing_Functions/1.04%3A_Function_Families/1.4.03%3A_Graphing_Cube_Root_FunctionsFor y=3√x, the output is the same as the input of y=x3. Starting with y=3√x, you would obtain y=3√x+4−11 by shifting the function to the left four un...For y=3√x, the output is the same as the input of y=x3. Starting with y=3√x, you would obtain y=3√x+4−11 by shifting the function to the left four units and down 11 units. The general equation for a cubed root function is f(x)=a3√x−h+k, where h is the horizontal shift and k is the vertical shift.
- https://k12.libretexts.org/Bookshelves/Commonsense_Composition/03%3A_Expository_Essay/3.03%3A_Body_ParagraphsWhen trying to indicate the significance of a fact, it is essential to try to answer the “so what.” Image you have just finished explaining your quote to someone and they have asked you “so what?” The...When trying to indicate the significance of a fact, it is essential to try to answer the “so what.” Image you have just finished explaining your quote to someone and they have asked you “so what?” The person does not understand why you have explained this quote, not because you have not explained the quote well but because you have not told him or her why he or she needs to know what the quote means.
