13.7 Quadratic Equations and Problem Solving

 Hubert Page
 9 months ago
 Views:
Transcription
1 13.7 Quadratic Equations and Problem Solving Learning Objectives: A. Solve problems that can be modeled by quadratic equations. Key Vocabulary: Pythagorean Theorem, right triangle, hypotenuse, leg, sum, difference, product, times, twice, more than, less than, square of, consecutive odd, consecutive even Consecutive Numbers 1. Consecutive Number. Consecutive Odd Number 3. Consecutive Even Number 1 st number 1 st number 1 st number nd number + 1 nd number + nd number + 3 rd number + 3 rd number rd number th number th number th number + 6 Pythagorean Theorem In any right triangle Leg a Hypotenuse c a + b = c Leg b Class notes: Eample 1. Find two consecutive odd integers whose product is 3 more than their sum.
2 Eample. The length of a rectangular garden is 5 feet more than its width. The area of the garden is 176 square feet. Find the length and the width. Eample 3. The hypotenuse of a right triangle is 6 inches more than the shorter leg. The longer leg is 3 inches more than the shorter leg. Find the lengths of all three sides.
3 13.7 Eercises Solve. 1. A rectangle has an area of 4 square inches. The width is represented by 3 and the length is +. Find the dimensions.. The length of a rectangle is 3 cm more than the width. The area is 70 cm. Find the dimensions of the rectangle. 3. The length of a proposed rectangular flower garden is 6 m more that its width. The area of the garden is 7 m. Find the dimensions of the proposed flower garden. 4. A square field had 5 m added to its length and m added to its width. The field then had an area of 130 m. Find the length of a side of the original field. 5. A rock is dropped from a 784 foot cliff. The height h of the rock after t seconds is given by the equation h = 16t How long will it take the ball to hit the ground? 6. One leg of a right triangle measures 6 m while the length of the other leg measures meters. The hypotenuse measures ( 6) m. Find the length of all three sides. 7. The longer leg of a right triangle measures two feet more than twice the length of the shorter leg. The hypotenuse measures 3 feet more than twice the shorter leg. Find the length of all three sides. 8. Find the length of a ladder leaning against a building if the top of the ladder touches the building at a height of 1 feet. Also, the length of the ladder is 4 feet more than its distance from the base of the building. 9. One leg of a right triangle is 14 inches longer than the other leg. The hypotenuse is 6 inches long. Find the length of each leg. 10. Eight more than the square of a number is the same as si times the number. Find the number. 11. Fifteen less than the square of a number is the same as twice the number. Find the numbers. 1. Seven less than 4 times the square of a number is 18. Find the number. 13. Find two consecutive positive odd integers whose product is The sum of the squares of two consecutive integers is 41. Find the integers. 15. Find two consecutive odd integers such that the square of the first added to 3 times the second is 4.
4 16. The square of a number minus twice the number is 63. Find the number. 17. The length of a rectangular garden is 5 feet more than its width. The area of the garden is 176 square feet. Find the length and the width. 18 A student dropped a ball from the top of a 64 foot building. The height of the ball after t seconds is given by the quadratic equation h = 16t How long will it take the ball to hit the ground? 19. The length of one leg of a right triangle is 7 meters less than the length of the other leg. The length of the hypotenuse is 13 m. Find the lengths of the legs. 0. The numerical difference between the area and the circumference of a circle is 8π. Find the radius of the circle. (Hint: first factor out π in your equation.)
5 Some challenging problems: Factor: y 7 y 17. Factor: 3. A bo is made from a rectangular piece of metal with length 0 inches and width 10 inches by cutting out square corners of length and folding up the sides. a. What are the limitations of the size of? Eplain. b. Write a polynomial that gives the volume of the bo. c. Factor out the greatest common factor for this epression you found in part (b). d. Find the volume of the bo when = 3 inches. e. Write a polynomial that gives the outside surface area of the bo. (Hint: consider the size of the metal sheet and how much was cut out.) f. Factor out the greatest common factor for the epression you found in part (e). g. If the outside surface area of the bo is 184 square inches, find.
6 4. Cut the squares apart. Match equivalent epressions. You should get a new 4 4 square.
Lesson 3: Using the Pythagorean Theorem. The Pythagorean Theorem only applies to triangles. The Pythagorean Theorem + = Example 1
Lesson 3: Using the Pythagorean Theorem The Pythagorean Theorem only applies to triangles. The Pythagorean Theorem + = Example 1 A sailboat leaves dock and travels 6 mi due east. Then it turns 90 degrees
More informationName Date PD. Pythagorean Theorem
Name Date PD Pythagorean Theorem Vocabulary: Hypotenuse the side across from the right angle, it will be the longest side Legs are the sides adjacent to the right angle His theorem states: a b c In any
More informationAlgebra I: Strand 3. Quadratic and Nonlinear Functions; Topic 1. Pythagorean Theorem; Task 3.1.2
Algebra I: Strand 3. Quadratic and Nonlinear Functions; Topic. Pythagorean Theorem; Task 3.. TASK 3..: 3060 RIGHT TRIANGLES Solutions. Shown here is a 3060 right triangle that has one leg of length and
More informationCH 34 MORE PYTHAGOREAN THEOREM AND RECTANGLES
CH 34 MORE PYTHAGOREAN THEOREM AND RECTANGLES 317 Recalling The Pythagorean Theorem a 2 + b 2 = c 2 a c 90 b The 90 angle is called the right angle of the right triangle. The other two angles of the right
More informationApplication of Geometric Mean
Section 81: Geometric Means SOL: None Objective: Find the geometric mean between two numbers Solve problems involving relationships between parts of a right triangle and the altitude to its hypotenuse
More informationSpecial Right Triangles
GEOMETRY Special Right Triangles OBJECTIVE #: G.SRT.C.8 OBJECTIVE Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. *(Modeling Standard) BIG IDEA (Why is
More informationDate: Period: Directions: Answer the following questions completely on a separate sheet of paper.
Name: Right Triangle Review Sheet Date: Period: Geometry Honors Directions: Answer the following questions completely on a separate sheet of paper. Part One: Simplify the following radicals. 1) 2) 3) 4)
More informationPut in simplest radical form. (No decimals)
Put in simplest radical form. (No decimals) 1. 2. 3. 4. 5. 6. 5 7. 4 8. 6 9. 5 10. 9 11. 3 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 3 28. 1 Geometry Chapter 8  Right Triangles
More informationUnit 2: Right Triangle Trigonometry RIGHT TRIANGLE RELATIONSHIPS
Unit 2: Right Triangle Trigonometry This unit investigates the properties of right triangles. The trigonometric ratios sine, cosine, and tangent along with the Pythagorean Theorem are used to solve right
More informationPerimeter. Name. 22 Topic 17. Reteaching Find the perimeter of the figure below.
Perimeter Reteaching 11 Find the perimeter of the figure below. 15 m x 4 ft 4 ft 2 ft y 2 ft 5 ft 6 m 20 ft Reteaching 11 By using a formula: There are two equal lengths and equal widths, so you can
More informationChapter 10. Right Triangles
Chapter 10 Right Triangles If we looked at enough right triangles and experimented a little, we might eventually begin to notice some relationships developing. For instance, if I were to construct squares
More informationParking Lot HW? Joke of the Day: What do you call a leg that is perpendicular to a foot? Goals:
Parking Lot Joke of the Day: HW? What do you call a leg that is perpendicular to a foot? a right ankle Goals: Agenda 1 19 hw? Course Recommendations Simplify Radicals skill practice L8 2 Special Right
More informationParallel Lines Cut by a Transversal
Name Date Class 111 Parallel Lines Cut by a Transversal Parallel Lines Parallel Lines Cut by a Transversal A line that crosses parallel lines is a transversal. Parallel lines never meet. Eight angles
More informationStudent Outcomes. Lesson Notes. Classwork. Discussion (20 minutes)
Student Outcomes Students explain a proof of the converse of the Pythagorean Theorem. Students apply the theorem and its converse to solve problems. Lesson Notes Students had their first experience with
More informationSum Fun Tournament Meeting (Multiple Topics)
Sum Fun Sum Fun Tournament Meeting (Multiple Topics) Sum Fun Topic There are a wide range of topics and difficulty levels covered during this meeting. Materials Needed The first four items listed below
More informationWeek 11, Lesson 1 1. Warm Up 2. Notes Sine, Cosine, Tangent 3. ICA Triangles
Week 11, Lesson 1 1. Warm Up 2. Notes Sine, Cosine, Tangent 3. ICA Triangles HOW CAN WE FIND THE SIDE LENGTHS OF RIGHT TRIANGLES? Essential Question Essential Question Essential Question Essential Question
More informationAreas of Parallelograms and Triangles 71
Areas of Parallelograms and Triangles 71 Parallelogram A parallelogram is a quadrilateral where the opposite sides are congruent and parallel. A rectangle is a type of parallelogram, but we often see
More informationMORE TRIGONOMETRY
MORE TRIGONOMETRY 5.1.1 5.1.3 We net introduce two more trigonometric ratios: sine and cosine. Both of them are used with acute angles of right triangles, just as the tangent ratio is. Using the diagram
More informationWarm Up Find what numbers the following values are in between.
Warm Up Find what numbers the following values are in between. 1. 30 2. 14 3. 55 4. 48 Color squares on each side of the triangles with map pencils. Remember A square has 4 equal sides! Looking back at
More informationLesson 21: Special Relationships within Right Triangles Dividing into Two Similar SubTriangles
: Special Relationships within Right Triangles Dividing into Two Similar SubTriangles Learning Targets I can state that the altitude of a right triangle from the vertex of the right angle to the hypotenuse
More informationAlgebra A/B MAT 035. Review for Final Exam
Computation: Evaluate the following expressions: 1. 57 + (8)  (3) 2 2. 5 (3) (2) (5) 3. 4. 5. 11 2 23 + 24 6. 7. (143) (37) +2 (39) 8. 72[ ] 9. 2012 2 310. 8[ 4 6 (47)] 11. 12 4[7 3(6 2)]
More information81. The Pythagorean Theorem and Its Converse. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary
81 he Pythagorean heorem and Its Converse Vocabulary Review 1. Write the square and the positive square root of each number. Number Square Positive Square Root 9 81 3 1 4 1 16 1 2 Vocabulary Builder leg
More informationROUND TOSSUP: What is the square root of one million? (1000) (10 points) BONUS: How many zeros are at the end of ?
ROUND 1 1. TOSSUP: What is 24% of 50? (12) (10 points) BONUS: A clothing store is having a 60% off sale on its dresses. Brandi has a coupon that lets her take 20% off of the sale price. If she pays $24
More informationThe Pythagorean Theorem Diamond in the Rough
The Pythagorean Theorem SUGGESTED LEARNING STRATEGIES: Shared Reading, Activating Prior Knowledge, Visualization, Interactive Word Wall Cameron is a catcher trying out for the school baseball team. He
More informationPerimeter. Perimeter is the distance around a shape. You can use grid. Step 1 On grid paper, draw a rectangle that has a length
Lesson 13.1 Perimeter Perimeter is the distance around a shape. You can use grid paper to count the number of units around the outside of a rectangle to find its perimeter. How many feet of ribbon are
More information4.8 Applications of Polynomials
4.8 Applications of Polynomials The last thing we want to do with polynomials is, of course, apply them to real situations. There are a variety of different applications of polynomials that we can look
More informationRight is Special 1: Triangles on a Grid
Each student in your group should have a different equilateral triangle. Complete the following steps: Using the centimeter grid paper, determine the length of the side of the triangle. Write the measure
More informationPractice Test. 2 What is the area of this figure?
Practice Test 1 Which letter has a line of symmetry? S J R W L 3 Jane's house has a garden which is in the shape of a square. If each side of the garden is 18 feet then what is the perimeter of the garden?
More informationUnit 2. Looking for Pythagoras. Investigation 5: Using the Pythagorean Theorem: Analyzing Triangles and Circles
I can understand and apply the Pythagorean Theorem. Investigation 5 Unit 2 Looking for Pythagoras Investigation 5: Using the Pythagorean Theorem: Analyzing Triangles and Circles Lesson 1: Stopping Sneaky
More information9.3 AltitudeonHypotenuse Theorems
9.3 AltitudeonHypotenuse Theorems Objectives: 1. To find the geometric mean of two numbers. 2. To find missing lengths of similar right triangles that result when an altitude is drawn to the hypotenuse
More informationA 28inch ribbon was cut into four equal lengths. How long was each piece of ribbon?
Name Score Benchmark Test 1 Math Course 1 For use after Lesson 0 1. (5) A inch ribbon was cut into four equal lengths. How long was each piece of ribbon? A. 7 inches B. 7 1 inches. () In a class of students
More informationParking Lot HW? Joke of the Day: What do you get when you combine a flat, infinite geometric figure with a beef patty?
Parking Lot HW? Joke of the Day: What do you get when you combine a flat, infinite geometric figure with a beef patty? a plane burger Agenda 1 23 hw? Finish Special Right Triangles L8 3 Trig Ratios HW:
More informationPOST TEST KEY. Math in a Cultural Context*
Fall 2007 POST TEST KEY Building a Fish Rack: Investigation into Proof, Properties, Perimeter and Area Math in a Cultural Context* UNIVERSITY OF ALASKA FAIRBANKS Student Name: POST TEST KEY Grade: Teacher:
More informationPerimeter. Perimeter is the distance around a figure. Add to find the perimeter (P) of each figure. P
Place Value: Large Numbers... 5 Comparing Numbers...6 Rounding Numbers...7 TwoDigit Addition with Regrouping...8 ThreeDigit Addition with Regrouping...9 Addition of Large Numbers... 10 Problem olving:
More informationNewport Mill Middle School. Summer Math Packet Incoming Grade 6
Newport Mill Middle School Summer Math Packet Incoming Grade 6 . Several expressions are shown. Decide if the value of the expression is less than, equal to, or greater than 5. Write the expressions in
More informationMeasurement LESSON ONE  Metric and Imperial Lesson Notes
0 1 2 Measurement Introduction Introduction to Measurement a) Complete the following table: Unit Length Multiplying (in metres) Factor Referent mm cm dm m dam hm km b) Indicate which measuring tool is
More informationLearning Objectives Source/Example Questions
Grade and Strand Learning Objectives Source/Example Questions.ca Ascent Education: http://questions.ascenteducatio n.com.ca A tree 66 meters high casts a 44meter shadow. Find the angle of elevation of
More information2018 Chapter Competition Countdown Round Problems 1 80
2018 Chapter Competition Countdown Round Problems 1 80 This booklet contains problems to be used in the Countdown Round. 2018 MATHCOUNTS National Competition Sponsor National Sponsors Raytheon Company
More informationTranslations: Comparison Sentences
Translations: Comparison Sentences A comparison sentence is a special form of translation, a single sentence within a word problem that provides information about two different things: two unknowns. In
More informationFour in a Row Algebraic Expression. Suggested expressions: x + y x  y x + 2y x  y (x + y) 2x  3y y + 1 2
Four in a Row 7 x 6 5 4 3 2 18 76 54 32 1 0 1 2 3 4 5 6 7 8 y 12 34 56 7 Algebraic Expression Suggested expressions: x + y x  y x + 2y x  y (x + y) 2x  3y y + 1 2 Page 84 Classroom
More information1 What is Trigonometry? Finding a side Finding a side (harder) Finding an angle Opposite Hypotenuse.
Trigonometry (9) Contents 1 What is Trigonometry? 1 1.1 Finding a side................................... 2 1.2 Finding a side (harder).............................. 2 1.3 Finding an angle.................................
More information1. Which geometric solid would be best to use as a model of the following objects found in the real world. A. B. c.
1. Sec 5.6 Geometric & Algebra Connections Geometric Models Name: Choosing a Model Prism Pyramid Cylinder Cone Sphere Hemisphere SA = 2(lh + hw + lw) SA = LA + B SA = 2πrh + 2πr 2 SA = πrl + πr 2 SA =
More informationGEOMETRY CIRCLING THE BASES PREVISIT  BALLPARK FIGURES  PART 2
PREVISIT  BALLPARK FIGURES  PART 2 OBJECTIVE: Students will be able to: Identify the formulas for finding circumference and area of a circle. Calculate the circumference and area of given circles. TIME
More informationCumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide.
Name Score Math Course 1 1A 1. Use the numbers 6, 12, and 18 to make two addition facts and two subtraction facts. 12 + 12 12 + 12 12 12 12 12 2. Use the numbers 5, 15, and 75 to make two multiplication
More informationCumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide.
Name Score Math Course 1 1B 1. Use the numbers 5, 11, and 16 to make two addition facts and two subtraction facts. 11 + 12 12 + 12 12 12 12 12 2. Use the numbers 4, 16, and 64 to make two multiplication
More informationDiscovering Special Triangles Learning Task
The image cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted. Restart your computer, and then open the file again. If the red x still
More informationLesson 23: The Volume of a Right Prism
Lesson 23 Lesson 23: Student Outcomes Students use the known formula for the volume of a right rectangular prism (length width height). Students understand the volume of a right prism to be the area of
More informationMath Section 4.1 Special Triangles
Math 1330  Section 4.1 Special Triangles In this section, we ll work with some special triangles before moving on to defining the six trigonometric functions. Two special triangles are 30 60 90 triangles
More informationRightangled triangles and trigonometry
Rightangled triangles and trigonometry 5 syllabusref Strand: Applied geometry eferenceence Core topic: Elements of applied geometry In this cha 5A 5B 5C 5D 5E 5F chapter Pythagoras theorem Shadow sticks
More informationWrite the definition of each term in your own words. Then make a sketch to describe each term visually.
ssignment ssignment for Lesson.1 Name Date s the Crow Flies Properties of Spheres Write the definition of each term in your own words. Then make a sketch to describe each term visually. 1. distance as
More informationACTIVITY: Finding a Formula Experimentally
8.1 Volumes of Cylinders How can you find the volume of a cylinder? 1 ACTIVITY: Finding a Formula Experimentally Work with a partner. a. Find the area of the face of a coin. b. Find the volume of a stack
More informationApplications of trigonometry
Applications of trigonometry This worksheet and all related files are licensed under the Creative Commons Attribution License, version 1.0. To view a copy of this license, visit http://creativecommons.org/licenses/by/1.0/,
More informationWHEELCHAIR SKILLS PROGRAM (WSP) 4.1 OBSTACLE COURSE GUIDELINES
WHEELCHAIR SKILLS PROGRAM (WSP) 4.1 OBSTACLE COURSE GUIDELINES WSP 4.1 assessment and training activities can take place in any environment, because the obstacles are based on common ones found in hospitals,
More informationNAME DATE PERIOD. Study Guide and Intervention. changes, on average, relative to the change in another quantity.
3 Stud Guide and Intervention Rate of Change Rate of change is a ratio that compares how much one quantit changes, on average, relative to the change in another quantit. Eample Average Rate of Change
More informationOVERVIEW Similarity Leads to Trigonometry G.SRT.6
OVERVIEW Similarity Leads to Trigonometry G.SRT.6 G.SRT.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric
More informationThe field of play must be rectangular and marked with lines. These lines belong to the areas of which they are boundaries.
LAW 1: THE FIELD OF PLAY Field surface Matches may be played on natural or artificial surfaces, according to the rules of the competition The colour of artificial surfaces must be green. Where artificial
More informationAlgebra I: A Fresh Approach. By Christy Walters
Algebra I: A Fresh Approach By Christy Walters 2005 A+ Education Services All rights reserved. No part of this publication may be reproduced, distributed, stored in a retrieval system, or transmitted,
More informationEnergy Drilling Prospects
01 05 Energy Drilling Prospects Fraser Offshore Ltd is a drilling project management company. It designs, plans and drills oil wells for clients who are typically oil & gas companies or large utilities
More informationUnit 3 Trigonometry. 3.1 Use Trigonometry to Find Lengths
Topic : Goal : Unit 3 Trigonometry trigonometry I can use the primary trig ratios to find the lengths of sides in a right triangle 3.1 Use Trigonometry to Find Lengths In any right triangle, we name the
More information2018 School Competition Sprint Round Problems 1 30
Name 08 School Competition Sprint Round Problems 0 0 4 5 6 7 8 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. 9 This section of the competition consists of 0 problems. You will have 40 minutes to complete
More informationGears Ratios and Speed / Problem Solving
Teacher Mechanics Note to the teacher On this page, students will learn about the relationship between gear ratio, gear rotational speed, wheel radius, diameter, circumference, revolutions and distance.
More informationProblem Solving Problems for Group 3(Due by EOC Feb. 13)
Problem Solving Problems for Group (Due by EOC Feb. ) Eactly How Do You Want Your Million?. Find a positive number that you can add to,000,000 that will give you a larger value than if you multiplied this
More informationMath 6 EQT Study Guide Quarter 3. and a package of 12 golf balls. The package with 3 golf balls costs $4.59, and the package with 12 golf balls
Math EQT Study Guide Quarter 3 1. How will the surface area of the figure represented by the net change if the length increases by 7 feet? The original figure has dimensions of l = 12 feet, w = feet, and
More informationVocabulary Force: A push or a pull.
PSW0201 Forces in Equilibrium (55 pts) Directions: You MUST show Your Formula, Your Units, Your Answer, and all of your work for full credit!!! Some answers are given on the last page to compare your
More informationAdding Whole Numbers and Money Subtracting Whole Numbers and Money Fact Families, Part 1
Adding Whole Numbers and Money Subtracting Whole Numbers and Money Fact Families, Part 1 Reteaching 1 Math Course 1, Lesson 1 To add money, line up the decimal points. Then add each column starting on
More information5.5 Use Inequalities in a Triangle
5.5 Use Inequalities in a Triangle Goal p Find possible side lengths of a triangle. Your Notes Example 1 Relate side length and angle measure Mark the largest angle, longest side, smallest angle, and shortest
More informationHow many square feet of paper are needed to cover the outside of the square pyramid?
17 cm 16 cm How many square feet of paper are needed to cover the outside of the square pyramid? company plans to store boxes that measure 15 feet x 2 feet x 25 feet in a storage space that is 20 feet
More informationBIGGAR HIGH SCHOOL HOMEWORK BOOKLET NATIONAL 4
BIGGAR HIGH SCHOOL HOMEWORK BOOKLET NATIONAL Rounding 1. Round these numbers to the nearest 10: a) 238 b) 719 c) 682 3 2. Round these numbers to the nearest 100: a) 6783 b) 13295 c) 199 3 3. Round these
More informationBASICS OF TRIGONOMETRY
Mathematics Revision Guides Basics of Trigonometry Page 1 of 9 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Foundation Tier BASICS OF TRIGONOMETRY Version: 1. Date: 0910015 Mathematics Revision
More informationWAT305 Math Part 1 ABC Math
WAT305 Math Part 1 ABC Math Good to know for certification: You have used 35 150lb cylinders of Chlorine in 2011 how many pounds total did you use? How many pounds per month did you use? If demand is expected
More informationAreas of Trapezoids, Rhombuses, and Kites. To find the area of a trapezoid, rhombus, or kite
102 Areas of Trapezoids, Rombuses, and Kites Common Core State Standards GMG.A.1 Use geometric sapes, teir measures, and teir properties to describe objects. MP 1, MP 3, MP 4, MP 6 Objective To find
More information1. Identify the sample space and the outcome shown for spinning the game spinner.
20142015 6 th Grade Compacted Spring Semester Review Name: 1. Identify the sample space and the outcome shown for spinning the game spinner. Z W Y X a. Sample space: {W, X, Y, Z} Outcome shown: Z b. Sample
More informationPreAlgebra Chapter 3 Decimals and Equations
PreAlgebra Chapter 3 Decimals and Equations SOME NUMBERED QUESTIONS HAVE BEEN INTENTIONALLY DELETED OR REMOVED. YOU WILL NOT BE USING A CALCULATOR FOR PART I MULTIPLECHOICE QUESTIONS, AND THEREFORE YOU
More informationFIELD EVENTS DIAGRAMS
FIELD EVENTS DIAGRAMS Landing System Approach HIGH JUMP The declination in the high jump approach shall not exceed 1:100 (1%). The approach shall consist of a semicircle or rectangle of unvarying surface.
More informationName Date Period. (D) 4 π. 3. One revolution per minute is about: (A) rad/s (B) rad/s (C) 0.95 rad/s (D) 1.57 rad/s (E) 6.
Name Date Period Worksheet 5.2 Applications of Angles Show all work. All answers must be given as either simplified, exact answers. A calculator is permitted unless otherwise stated. Unless stated otherwise,
More informationProject 2 Evaluation 32 Second Year Algebra 1 (MTHH )
Name I.D. Number Project 2 Evaluation 32 Second Year Algebra 1 (MTHH 039 059) Be sure to include ALL pages of this project (including the directions and the assignment) when you send the project to your
More informationQuadratic Word Problems
Quadratic Word Problems Normally, the graph is a maximum ( x 2 /opens down) because of the real life scenarios that create parabolas. The equation of the quadratic will be given. We will only be using
More informationtwo points on a line. Plugging the given values into the ratio gives 5 3 = 2
www.mathblackboard.com ruth@mathblackboard.com 18310190 ARCHIVE of POSTED PROBLEMS TO PONDER and SOLUTIONS for HIGH SCHOOL: Posted 01/30: If is the first term and 56 if the fourth term of a geometric
More informationUsing Darts to Simulate the Distribution of Electrons in a 1s Orbital
NAME: Using Darts to Simulate the Distribution of Electrons in a 1s Orbital Introduction: The quantum theory is based on the mathematical probability of finding an electron in a given three dimensional
More informationWrite these equations in your notes if they re not already there. You will want them for Exam 1 & the Final.
Tuesday January 30 Assignment 3: Due Friday, 11:59pm.like every Friday PreClass Assignment: 15min before class like every class Office Hours: Wed. 1011am, 204 EAL Help Room: Wed. & Thurs. 69pm, here
More informationMATHCOUNTS 2005 State Competition Target Round Problems 1 and 2
MATHCOUNTS 2005 State Competition Target Round Problems 1 and 2 Name School Chapter DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This round of the competition consists of eight problems, which will
More informationMathematics (Project Maths Phase 3)
*B6* PreLeaving Certificate Examination, 2014 Triailscrúdú na hardteistiméireachta, 2014 Mathematics (Project Maths Phase 3) Paper 1 Ordinary Level 2½ hours 300 marks Name: School: Address: Class: Teacher:
More informationMath3. Lesson 65 The Law of Sines The Ambiguous Case
Math3 Lesson 65 The Law of Sines The miguous Case Quiz 64: 1. Find the measure of angle θ. Ө = 33.7 2. What is the cosecant ratio for ϴ? Csc Ө = 2 5 5 3. standard position angle passes through the point
More informationPythagorean Theorem in Sports
Name Date Pythagorean Theorem in Sports Activity 1: Pythagorean Theorem in Baseball Directions: Measure the distance between each of the bases using the yard stick provided. Then convert your measurements
More informationUNITED KINGDOM MATHEMATICS TRUST GROUP ROUND. There are 15 questions to try to answer in the time allowed.
UNITED KINGDOM MATHEMATICS TRUST GROUP ROUND Time allowed: 45 minutes. There are 15 questions to try to answer in the time allowed. Each question is worth four marks. A question is marked either correct
More informationDeriving the Law of Cosines
Name lass Date 14. Law of osines Essential Question: How can you use the Law of osines to find measures of any triangle? Resource Locker Explore Deriving the Law of osines You learned to solve triangle
More information1.28 Wave Frequency. Chapter 1. Energy
www.ck12.org Chapter 1. Energy 1.28 Wave Frequency Define wave frequency. Identify the SI unit for wave frequency. Explain how wave frequency is related to the energy of a wave. Imagine making transverse
More informationPART 3 MODULE 6 GEOMETRY: UNITS OF GEOMETRIC MEASURE
PART 3 MODULE 6 GEOMETRY: UNITS OF GEOMETRIC MEASURE LINEAR MEASURE In geometry, linear measure is the measure of distance. For instance, lengths, heights, and widths of geometric figures are distances,
More informationName. STAR CITY Math / Geometry / Review: Right Triangles. Teacher Period
STAR CITY Math / Geometry / Review: Right Triangles 1. Firefighters use a 20 foot extension ladder to reach 16 feet up a building. How far from the building should they place the base of the ladder? Name
More information19 Waves and Vibrations
19 Waves and Vibrations Answers and Solutions for Chapter 19 Reading Check Questions 1. A wiggle in time is a vibration; a wiggle in space and time is a wave. 2. The source of all waves is a vibration.
More informationYear 10 Mathematics, 2007
Student s Name: Teacher s Name: 10 Year 10 athematics, 2007 lgebra Use straightforward algebraic methods and sketch and interpret features of linear graphs Time: 20 minutes. Check that you have entered
More informationPractice A. Congruent Figures. Are there any congruent figures in each picture? If there are, describe them
Name Date Class Practice A Are there any congruent figures in each picture? If there are, describe them. Determine the unknown measure in each set of congruent polygons. 7. 8. 9. 10. Name Date Class Practice
More informationRegion 9 BEANBAG BASE BALL RULES
Region 9 BEANBAG BASE BALL RULES Principle of the game: Team Play: 1. The Beanbag Baseball game is played on a board stand that has been modified with openings, see Diagram 1, and beanbags that are made
More informationFirestop Products and Systems Estimating Guide
F i rr eessttooppppi ni ng g http://flamesafe.rectorseal.com PRODUCT DATA UPDATES TECH LETTERS DETAILS MSDS CONTACTS FAQS Firestop Products and Systems Estimating Guide Throughpenetrations Estimating
More informationSection 4.2 Objectives
Section 4. Objectives Determine whether the slope of a graphed line is positive, negative, 0, or undefined. Determine the slope of a line given its graph. Calculate the slope of a line given the ordered
More informationApplications of Mathematics
Write your name here Surname Other names Pearson Edexcel GCSE Centre Number Candidate Number Applications of Mathematics Unit 1: Applications 1 For Approved Pilot Centres ONLY Foundation Tier Wednesday
More informationChapter 2 Two Dimensional Kinematics Homework # 09
Homework # 09 Pthagorean Theorem Projectile Motion Equations a 2 +b 2 =c 2 Trigonometric Definitions cos = sin = tan = a h o h o a v =v o v =v o + gt =v o t = o + v o t +½gt 2 v 2 = v 2 o + 2g(  o ) v
More informationLesson 1 Homework Practice
Lesson 1 Homework Practice Solve Equations with Rational Coefficients Solve each equation. Check your work. 1. 14 2. 24 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. Define a variable. Then write and solve an equation
More informationFHSAA JAVELIN THROW GUIDANCE GUIDANCE FOR IMPLEMENTING THE JAVELIN THROW PROVISIONALLY INTO FLORIDA HIGH SCHOOL TRACK & FIELD PROGRAMS
FHSAA JAVELIN THROW GUIDANCE GUIDANCE FOR IMPLEMENTING THE JAVELIN THROW PROVISIONALLY INTO FLORIDA HIGH SCHOOL TRACK & FIELD PROGRAMS 1 NFHS RULES AS MODIFIED FOR FHSAA COMPETITION Member schools wishing
More informationPesticide Applicator Safety for Structural Applicators Calculations
Pesticide Applicator Safety for Structural Applicators Pesticide Applicator Safety for Structural Applicators Calculations 1 Calibrating Pesticide Application Equipment What You'll Learn! The purpose of
More information