 13.4.1: Find the area of ABC to the nearest tenth.
 13.4.2: Find the area of ABC to the nearest tenth.
 13.4.3: Solve each triangle. Round measures of sides to the nearest tenth a...
 13.4.4: Solve each triangle. Round measures of sides to the nearest tenth a...
 13.4.5: Solve each triangle. Round measures of sides to the nearest tenth a...
 13.4.6: Determine whether each triangle has no solution, one solution, or t...
 13.4.7: Determine whether each triangle has no solution, one solution, or t...
 13.4.8: Determine whether each triangle has no solution, one solution, or t...
 13.4.9: Determine whether each triangle has no solution, one solution, or t...
 13.4.10: Latisha is to join a 6meter beam to a 7meter beam so the angle op...
 13.4.11: Find the area of ABC to the nearest tenth.
 13.4.12: Find the area of ABC to the nearest tenth.
 13.4.13: Find the area of ABC to the nearest tenth.
 13.4.14: Find the area of ABC to the nearest tenth.
 13.4.15: Find the area of ABC to the nearest tenth.
 13.4.16: Find the area of ABC to the nearest tenth.
 13.4.17: Solve each triangle. Round measures of sides to the nearest tenth a...
 13.4.18: Solve each triangle. Round measures of sides to the nearest tenth a...
 13.4.19: Solve each triangle. Round measures of sides to the nearest tenth a...
 13.4.20: Solve each triangle. Round measures of sides to the nearest tenth a...
 13.4.21: Solve each triangle. Round measures of sides to the nearest tenth a...
 13.4.22: Solve each triangle. Round measures of sides to the nearest tenth a...
 13.4.23: Determine whether each triangle has no solution, one solution, or t...
 13.4.24: Determine whether each triangle has no solution, one solution, or t...
 13.4.25: Determine whether each triangle has no solution, one solution, or t...
 13.4.26: Determine whether each triangle has no solution, one solution, or t...
 13.4.27: Determine whether each triangle has no solution, one solution, or t...
 13.4.28: Determine whether each triangle has no solution, one solution, or t...
 13.4.29: Determine whether each triangle has no solution, one solution, or t...
 13.4.30: Determine whether each triangle has no solution, one solution, or t...
 13.4.31: A radio station providing local tourist information has its transmi...
 13.4.32: Two forest rangers, 12 miles from each other on a straight service ...
 13.4.33: Solve each triangle. Round measures of sides to the nearest tenth a...
 13.4.34: Solve each triangle. Round measures of sides to the nearest tenth a...
 13.4.35: As a hotair balloon crosses over a straight portion of interstate ...
 13.4.36: Give an example of a triangle that has two solutions by listing mea...
 13.4.37: Dulce and Gabe are finding the area of ABC for A = 64, a = 15 meter...
 13.4.38: Determine whether the following statement is sometimes, always or n...
 13.4.39: Use the information on page 785 to explain how trigonometry can be ...
 13.4.40: Which of the following is the perimeter of the triangle shown? A 49...
 13.4.41: The longest side of a triangle is 67 inches. Two angles have measur...
 13.4.42: Find the exact value of each trigonometric function
 13.4.43: Find the exact value of each trigonometric function
 13.4.44: Find the exact value of each trigonometric function
 13.4.45: Find one angle with positive measure and one angle with negative me...
 13.4.46: Find one angle with positive measure and one angle with negative me...
 13.4.47: Find one angle with positive measure and one angle with negative me...
 13.4.48: Find one angle with positive measure and one angle with negative me...
 13.4.49: L Solve each equation. Round to the nearest tenth
 13.4.50: L Solve each equation. Round to the nearest tenth
 13.4.51: L Solve each equation. Round to the nearest tenth
 13.4.52: L Solve each equation. Round to the nearest tenth
Solutions for Chapter 13.4: Law of Sines
Full solutions for California Algebra 2: Concepts, Skills, and Problem Solving  1st Edition
ISBN: 9780078778568
Solutions for Chapter 13.4: Law of Sines
Get Full SolutionsCalifornia Algebra 2: Concepts, Skills, and Problem Solving was written by and is associated to the ISBN: 9780078778568. This textbook survival guide was created for the textbook: California Algebra 2: Concepts, Skills, and Problem Solving, edition: 1. Since 52 problems in chapter 13.4: Law of Sines have been answered, more than 44183 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 13.4: Law of Sines includes 52 full stepbystep solutions.

Circulant matrix C.
Constant diagonals wrap around as in cyclic shift S. Every circulant is Col + CIS + ... + Cn_lSn  l . Cx = convolution c * x. Eigenvectors in F.

Diagonalizable matrix A.
Must have n independent eigenvectors (in the columns of S; automatic with n different eigenvalues). Then SI AS = A = eigenvalue matrix.

Echelon matrix U.
The first nonzero entry (the pivot) in each row comes in a later column than the pivot in the previous row. All zero rows come last.

Fibonacci numbers
0,1,1,2,3,5, ... satisfy Fn = Fnl + Fn 2 = (A7 A~)I()q A2). Growth rate Al = (1 + .J5) 12 is the largest eigenvalue of the Fibonacci matrix [ } A].

Hankel matrix H.
Constant along each antidiagonal; hij depends on i + j.

Hessenberg matrix H.
Triangular matrix with one extra nonzero adjacent diagonal.

lAII = l/lAI and IATI = IAI.
The big formula for det(A) has a sum of n! terms, the cofactor formula uses determinants of size n  1, volume of box = I det( A) I.

Length II x II.
Square root of x T x (Pythagoras in n dimensions).

Multiplier eij.
The pivot row j is multiplied by eij and subtracted from row i to eliminate the i, j entry: eij = (entry to eliminate) / (jth pivot).

Normal matrix.
If N NT = NT N, then N has orthonormal (complex) eigenvectors.

Nullspace matrix N.
The columns of N are the n  r special solutions to As = O.

Rotation matrix
R = [~ CS ] rotates the plane by () and R 1 = RT rotates back by (). Eigenvalues are eiO and eiO , eigenvectors are (1, ±i). c, s = cos (), sin ().

Row space C (AT) = all combinations of rows of A.
Column vectors by convention.

Singular matrix A.
A square matrix that has no inverse: det(A) = o.

Solvable system Ax = b.
The right side b is in the column space of A.

Subspace S of V.
Any vector space inside V, including V and Z = {zero vector only}.

Symmetric factorizations A = LDLT and A = QAQT.
Signs in A = signs in D.

Trace of A
= sum of diagonal entries = sum of eigenvalues of A. Tr AB = Tr BA.

Vandermonde matrix V.
V c = b gives coefficients of p(x) = Co + ... + Cn_IXn 1 with P(Xi) = bi. Vij = (Xi)jI and det V = product of (Xk  Xi) for k > i.

Vector addition.
v + w = (VI + WI, ... , Vn + Wn ) = diagonal of parallelogram.