”Congruent angles are angles that have the same measure.” (pg.29 Geometry Common Core Part 2 Book) DAC and BAE are congruent angles. 7. We know that 2x+6 equals 96. To solve this problem we must work it backwards. Given: 2x + 6 and 96 Prove: x=45 Given.
The bottom of the tank is a curved surface. What is the volume of both tanks if the radius of tank #1 is 15 feet and the height of tank #2 is 120 feet? You must explain your answer using words, and you must show all work and calculations to receive credit. The first step would be to use the volume of a cyclinder again since the tanks are the shape of a cylinder. The volume of a cyclinder is V=4/3(3.14)r^3.
The first set of tilings were square tiles. Tessellation is rich in mathematics, which ties with geometry. Cultures ranging from Irish and Arabic to Indian and Chinese have all practiced tiling at various levels of complexity. “In mathematical terms, "regular" describes any shape that has all equal sides and equal angles”. There are only three regular shapes that can even make up a regular tessellation: the equilateral triangle, the square and the regular hexagon.
A polynomial has been completely factored only if all of its factors are linear or irreducible quadratic. Whenever polynomial are factored into only linear and irreducible quadratics, it has been factored completely since it can’t be factored further over real numbers. For example, when we have n degree polynomials as such function below: p(x) = axn + bxn-1 + ……k The Fundamental Theorem of Algebra will tell us that this n degree polynomials are going to have n-roots or in other way of seeing it, the n value of x will make the expression on the right to be equal to 0. 2. History of root finding The history of root finding dates back during the Islamic Golden Age.
The discovery of Ytterbium occurred over the course of a century. It begun with the mineral gadolinite which was discovered in a quarry near the town of Ytterby, Sweden. In 1843, Carl Gustaf Mosander, was able to separate gadolinite into three materials, which he named yttria, erbia and terbia (Emsley). Due to the similarities between their names and properties, scientists confused erbia and terbia and had eventually reversed their names. In 1878, Jean Charles Galissard de Marignac, a Swiss chemist, discovered that erbia consisted of two components (Emsley).
Theory: The principle we tested in this lab was Newton’s second law that states the net force on an object is equal to the mass of the object times its acceleration (F ⃗=ma ⃗). The formulas we used were: Δx=V_0x t+(a_x t)/2, we assumed the initial velocity V_0x=0 because it is extremely small, then we solved for a_x to get a_x=2Δx/t^2. a=gsin(θ). Experiment: The materials used in this lab were an air track, an air blower, a glider, computer, and wooden blocks. For table 1, my group and I started by making sure the air track was functional along with the motion detector if the air blower was working, and running the computer program for gathering data.
In S, this one point is (0,0,1) and is called the north pole, N, also called infinity, ∞. Since the circle is originally formed from the complex 2D plane, each point on the sphere represents a point on the 2D plane; therefore it’s a one to one mapping (mf344, 2013). This is true for every point except for point ∞(explained further on). So if we were to combine the sphere and a complex plane together so that the plane intersects the equator of the sphere at c=0, we would end up with the Riemann Sphere, where every point on the sphere
The following are the rules to find the number of significant figures: All non-zero digits are considered significant figures. Examples: 123 456 = has six significant figure 219 = has three significant figure Zeros used to position the decimal point (leading zeros) are not considered significant figures. Examples: 0.0032 = has two significant figure 0.07 = has one significant figure Zeros in between two non-zero digits are considered significant figures. Examples: 303 804 = has six significant figures 0.030 9 = has three significant figures All zeros to the right of the last non-zero digit (trailing zeros) in a number having no decimal point are not significant. Examples: 12 000 = has 2 significant figures 3 000 = has 1 significant figure Use scientific notation to indicate the number of significant figures to remove ambiguity.