Area of ellipse - Study guides, Class notes & Summaries
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Math Placement Test Questions with complete solutions |Latest 2024/2025
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Area and Similar Figures In two similar triangles, the ratio of their areas is the square of the ratio of their sides. 
 
Trigonometry Identities sin²(t) + cos²(t) = 1 
 
Functional Definition, Notation, and Interpretation In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. 
 
Given f(x) = x² + 2x - 1, find f(2). 
f(2) = (2)² +2(2) - 1 
 = 4 + 4 - 1 
 = 7 
 
Circles and O...
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Grade 12 Technical Mathematics (TECH MATH) June Paper 2 and Memo - 2024
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Grade 12 Technical Mathematics June Paper 2 and Memo: 
Total: 100 Marks. 
 
Contents of the exam paper contains the following details: 
 
Question 1: Coordinates, gradients, angles of inclination, and parallel lines. 
Question 2: Circle equations, tangent lines, and ellipse graphing. 
Question 3: Trigonometric identities, angles, and simplification. 
Question 4: Area calculations and geometric properties in real-world contexts. 
Question 5: Simplification and proof of trigonometric identities....
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Test Bank for Precalculus, 12th Edition by Michael Sullivan
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Test Bank for Precalculus, 12th Edition by Michael Sullivan. Complete chapters are included with answers. Exam Guide 
 
1. Graphs 
1.1 The Distance and Midpoint Formulas 
1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry 
1.3 Lines 
1.4 Circles 
Chapter 1 Review, Test, and Projects 
2. Functions and Their Graphs 
2.1 Functions 
2.2 The Graph of a Function 
2.3 Properties of Functions 
2.4 Library of Functions; Piecewise-defined Functions 
2.5 Graphing Techniques: Transformations 
2...
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GACE Paraprofessional Latest 2024 100% Correct
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GACE Paraprofessional Latest 2024 
 
100% Correct 
 
Anti- Against 
 
De- Opposite 
 
Dis- Opposite 
 
En- Cause to 
 
Mis- Wrongly 
 
Non- Not 
 
Re- Again 
 
Semi- Half 
 
Sub- Under 
 
Epistolary Writing Diaries & letters 
 
Area of Triangle 1/2•b•h 
 
Area of Rectangle W•H 
 
Area of Trapazoid 1/2 (a+b) •h 
 
Area of an ellipse Pi•a•b 
 
Area of Square A^2 
 
Area of Parallelogram B•H 
 
Area of Circle Pi•R^2 
 
Pythagorean Theorem a2+b2=c2 
 
Volume of Cube a^3 
 
Volume of ...
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BUILDING UTILITIES REFRESHER # 499+ QUESTIONS AND ANSWERS
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BUILDING UTILITIES REFRESHER # 
499+ QUESTIONS AND ANSWERS 
407. For an office plan that has a supervisor's office, work stations, clerical tables, etc... What 
type of Communication system would you use? 
c. LAN 
a. Intranet 
d. Telephone 
b. PABX - answerb. PABX 
408. A supplier for Data/TeIecommunication 
c. Unitec 
a. Aiphone 
d. Visonic 
b. Phelps Dodge - answera. Aiphone 
409. Where would be the most practical location for a daylight source to be used on work 
tables? - answerAt the top o...
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Army Space Cadre Basic Course Questions And Answers Rated A+.
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Army Space Cadre Basic Course Questions And Answers Rated A+. 
 
 
 
 
 
What report Directed the creation of a Space Cadre? - correct answer. Space Commission Report 
 
Why does the Army maintain an Army Space Cadre? (3) - correct answer. DoD Directive 
Fulfill Congressional Mandate 
Efficacies for Army 
 
What are the 5 Main Mission Areas? (5) - correct answer. SSA- Space Situation Awareness 
BMC2- Battle Management Command and Control 
Space Control 
Space Support for Operations 
Sp...
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BUILDING UTILITIES REFRESHER # 499+ QUESTIONS AND ANSWERS
- Exam (elaborations) • 60 pages • 2024
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BUILDING UTILITIES REFRESHER # 
499+ QUESTIONS AND ANSWERS 
407. For an office plan that has a supervisor's office, work stations, clerical tables, etc... What 
type of Communication system would you use? 
c. LAN 
a. Intranet 
d. Telephone 
b. PABX - answerb. PABX 
408. A supplier for Data/TeIecommunication 
c. Unitec 
a. Aiphone 
d. Visonic 
b. Phelps Dodge - answera. Aiphone 
409. Where would be the most practical location for a daylight source to be used on work 
tables? - answerAt the top o...
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APSC 151 Final Questions And Answers
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A mass of broken rock high on a mountain slope has a rectangular area 
measuring 400m and 600m, and is 50m thick. Mass fails and slides down the 
mountain. The final density of the failed mass does not change but is now 
distributed uniformly over an elliptical area of 800m download and 500m across 
the slope. What is the average depth of the runout mass of broken rock. 
a) 38m 
b) 9.5m 
c) 72m 
d) 30m 
e) 50m 
~ a 
mass rectangle = mass ellipse 
400 x 600 x 50 = π x (800/2)(500/2)T 
T = 38...
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Esri GIS Fundamentals Foundation Certification 2201 Questions and Answers 2024/2025
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Datum 
 - Provides a frame of reference for finding locations 
- Based on a spheroid 
Minor Axis 
 - The shorter axis of the ellipse 
- North to South 
Shape of the Earth (Ellipsoid) 
 Oblate Ellipsoid - because it rotates on the minor axis 
Prolate Ellipsoid 
 If the Earth rotated about its major (longer; West/East) axis 
Ellipsoid 
 a model of the rounded shape of earth (bulging at the equator) 
Measuring Ellipsoids 
 Measured by semi-axes (half of an axis) 
- Semimajor and S...
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ABR Therapeutic Medical Physics Part 2 Questions With Complete Solutions
- Exam (elaborations) • 45 pages • 2023
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Virtual Source Distance Equation correct answer: (R100/R110) = ((VSD+Dmax+gap)/(VSD+Dmax))^2 
 
Dose Delivered at Time correct answer: D(t) = D0(rate)/decay_constant*(1-e^(-dc(t)) 
D(t) = 1.44*D0(rate)*(1-e^(.693/T1/2*t)) 
 
TG-43 Geometry Function (Non-perpendicular) correct answer: Gl = Beta/(L*r*sin(theta)) 
Beta = angle between two ends of source to point 
theta = angle between r and x axis 
L = length of source 
 
TG- 43 Geometry Function (Perpendicular) correct answer: Gl = 1/(r^2 - (L...
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