Section 5.7

Jul 08, 2014

0 likes | 106 Views

Section 5.7. The Law of Cosines. The Law of Cosines. Like the Law of Sines, we use this to solve triangles that are not right triangles (no 90° angles). The Law of Cosines can help to solve triangles that the Law of Sines can not solve. Law of Cosines (cont.).

Share Presentation

Embed Code

Link

right triangles
same law
just different
example

bian

Download Presentation

Section 5.7

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

Section 5.7
The Law of Cosines
The Law of Cosines Like the Law of Sines, we use this to solve triangles that are not right triangles (no 90° angles). The Law of Cosines can help to solve triangles that the Law of Sines can not solve.
Law of Cosines (cont.) These all represent the same law, just different ways of showing it…
Example Solve ΔABC if A = 52°, b = 6 and c = 8.
Example #2 Solve ΔABC if a = 21, b = 16.7 and c = 10.3.

5.7

5.7. Find Angle Measure in Polygons. 2. 3. 1. 4. 5. 6. Theorem 5.16: Polygon Interior Angles Theorem. The sum of the measures of the interior angles of a convex n -gon is ( n – __ ) . _____. Corollary to Theorem 5.16: Interior Angles of a Quadrilateral.

368 views • 12 slides

Section 5.7- Proving that Figures are Special Quadrilaterals.

Section 5.7- Proving that Figures are Special Quadrilaterals. By, Michael Thiel and Lauren Larar . . What Family?. First, you must identify what family the quadrilateral falls under. Parallelogram , Trapezoid , quadrilateral. Proving that a quadrilateral is a Rectangle.

325 views • 18 slides

Section 5.7 Numerical Integration

Section 5.7 Numerical Integration. a. b. a. b. a. b. Approximations for integrals: Riemann Sums, Trapezoidal Rule, Simpson's Rule Riemann Sum: Trapezoidal Rule: Simpson’s Rule: Approximation by Approximation by Approximation by

358 views • 16 slides

Notes 5.7

Imaginary/Complex Numbers Complex Conjugates. Notes 5.7. Notes 5.7 Given the fact i 2 = ________ The imaginary number is _____ w hich equals _____. Complex numbers are written in the form: _______________ Where “a” is a real number and bi is an imaginary number.

247 views • 9 slides

Section 5.7 Financial Models

Section 5.7 Financial Models. A credit union pays interest of 4% per annum compounded quarterly on a certain savings plan. If $2000 is deposited in such a plan and the interest is left to accumulate, how much is in the account after 1 year?.

326 views • 22 slides

Section 5.7

Section 5.7. Systems of Inequalities And Linear Programming. Linear Inequality in Two Variables. An inequality that can be written as Ax + By < C or Ax + By > C , where A, B, and C are real numbers and A and B are not both 0. The symbol < may be replaced with , >, or .

342 views • 27 slides

Exercise 5.7

Exercise 5.7. MICROECONOMICS Principles and Analysis Frank Cowell. March 2007. Ex 5.7: Question. purpose : Illustration of labour supply model with very simple preferences method : Consumer optimisation with endogenous budget constraint. Ex 5.7: Worker’s problem.

178 views • 7 slides

Section 5.5 (and 5.7)

Section 5.5 (and 5.7). Integration by Substitution & Natural Logs. The Chain Rule & Integration. How do we handle something like this? Think back to how we took the derivative of a composite function like. -Substitution. Example 1.

325 views • 17 slides

Lesson 5.7

Lesson 5.7. Systems of Inequalities. You have learned that a solution to a system of two linear equations, if there is exactly one solution is the coordinates of the point where the two lines intersect. In this lesson you will learn about systems of inequalities and their solutions.

279 views • 12 slides

Section 5.7

Chapter 5. Section 5.7. Exercise #1. Find each. the first term the common difference the twelfth term the sum of the first 12 terms. 5 , 13 , 21 , 29 , 37 …. a). the first term. b). the common difference. 5. = 8. 13  5. 5 , 13 , 21 , 29 , 37 …. c).

424 views • 27 slides

Section 5.7 Hot Issues

Section 5.7 Hot Issues. A: Genesis: review of the “marsupial paradigm” See: http://www.atmos-chem-phys-dicuss.net/9/19159/2009/acpd-9-19159-2009.html The following slides were made available by Tim Dunkerton B: Genesis: role of Kelvin waves Guest Lecturer Michael Ventrice – April 28 th.

342 views • 27 slides

Section 5.7 Arithmetic and Geometric Sequences

Section 5.7 Arithmetic and Geometric Sequences. What You Will Learn About. Arithmetic Sequences Geometric Sequences. Sequences. A sequence is a list of numbers that are related to each other by a rule. The terms in a sequence are the numbers that form the sequence. Arithmetic Sequence.

3.45k views • 18 slides

5.7

5.7. Analyzing graphs of Quadratic Functions. Most basic quadratic function is y = x 2 Axis of Symmetry is x = 0 Vertex is (0, 0) A family of graphs is a group of graphs that displays one or more similar characteristics! y = x 2 is called a parent graph.

168 views • 7 slides

Section 5.7

Section 5.7 Suppose X 1 , X 2 , …, X n is a random sample from a Bernoulli distribution with success probability p . Then Y = X 1 + X 2 + … + X n has a distribution. According to the Central Limit Theorem, can be treated as having an approximate N (0, 1)

150 views • 8 slides

Section 5.7 Solving recurrence relations

Section 5.7 Solving recurrence relations. One typical problem of this type is to find an explicit formula for the n -th term ( a n ) of the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, … where the recurrence relation is a n = a n -1 + a n -2.

454 views • 18 slides

Section 5.7- Proving that Figures are Special Quadrilaterals.

Section 5.7- Proving that Figures are Special Quadrilaterals. By, Michael Thiel and Lauren Larar. What Family?. First, you must identify what family the quadrilateral falls under. Parallelogram , Trapezoid , quadrilateral. Proving that a quadrilateral is a Rectangle.

402 views • 18 slides

Section 5.7 Arithmetic and Geometric Sequences

Section 5.7 Arithmetic and Geometric Sequences. What You Will Learn. Arithmetic Sequences Geometric Sequences. Sequences. A sequence is a list of numbers that are related to each other by a rule. The terms are the numbers that form the sequence. Arithmetic Sequence.

236 views • 19 slides

5.7

5.7. Arithmetic and Geometric Sequences. Objectives Write terms of an arithmetic sequence. Use the formula for the general term of an arithmetic sequence. Write terms of a geometric sequence. Use the formula for the general term of a geometric sequence. Sequences.

123 views • 11 slides

Section 5.7

Section 5.7. Compound Interest. The amount A after t years due to a principal P invested at an annual interest rate r compounded n times per year is. COMPOUND INTEREST.

111 views • 9 slides

SECTION 5.7

SECTION 5.7. HYPERBOLIC FUNCTIONS. INVERSE FUNCTIONS. Certain combinations of the exponential functions e x and e – x arise so frequently in mathematics and its applications that they deserve to be given special names.

230 views • 21 slides

Section 5.7: Additional Techniques of Integration

Section 5.7: Additional Techniques of Integration. Practice HW from Stewart Textbook (not to hand in) p. 404 # 1-5 odd, 9-27 odd. Integrals Involving Powers of Sine and Cosine. Two Types

350 views • 33 slides

More Related