Amsco's Algebra 2 and Trigonometry 1st Edition solutions

Amsco's Algebra 2 and Trigonometry 1
Explain how the Law of Cosines can be used to show that in an obtuse triangle, the side opposite an obtuse angle is the longest side of the triangle.

Amsco's Algebra 2 and Trigonometry 1
Explain the relationship between the Law of Cosines and the Pythagorean Theorem.

Amsco's Algebra 2 and Trigonometry 1
In MAR, express m2 in terms of a, r, and cos M.

Amsco's Algebra 2 and Trigonometry 1
In NOP, express p2 in terms of n, o, and cos P.

Amsco's Algebra 2 and Trigonometry 1
In ABC, if a 5 3, b 5 5, and cos C 5 , find the exact value of c.

Amsco's Algebra 2 and Trigonometry 1
In DEF, if e 5 8, f 5 3, and cos D 5 , find the exact value of d.

Amsco's Algebra 2 and Trigonometry 1
In HIJ, if h 5 10, j 5 7, and cos I 5 0.6, find the exact value of i.

Amsco's Algebra 2 and Trigonometry 1
In 813, find the exact value of the third side of each triangle. In ABC, b 5 4, c 5 4, and mA 5 .

Amsco's Algebra 2 and Trigonometry 1
In 813, find the exact value of the third side of each triangle. In PQR, p 5 6, q 5 , and mR 5 .

Amsco's Algebra 2 and Trigonometry 1
In 813, find the exact value of the third side of each triangle. In DEF, d 5 , e 5 5, and mF 5 .

Amsco's Algebra 2 and Trigonometry 1
In 813, find the exact value of the third side of each triangle. In ABC, a 5 6, b 5 4, and mC 5 .

Amsco's Algebra 2 and Trigonometry 1
In 813, find the exact value of the third side of each triangle. In RST, RS 5 9, ST 5 , and mS 5 .

Amsco's Algebra 2 and Trigonometry 1
In 813, find the exact value of the third side of each triangle. In ABC, AB 5 , BC 5 4, and mB 5

Amsco's Algebra 2 and Trigonometry 1
In 1419, find, to the nearest tenth, the measure of the third side of each triangle. In ABC, b 5 12.4, c 5 8.70, and mA 5 23.

Amsco's Algebra 2 and Trigonometry 1
In 1419, find, to the nearest tenth, the measure of the third side of each triangle. In PQR, p 5 126, q 5 214, and mR 5 42.

Amsco's Algebra 2 and Trigonometry 1
In 1419, find, to the nearest tenth, the measure of the third side of each triangle. In DEF, d 5 3.25, e 5 5.62, and mF 5 58.

Amsco's Algebra 2 and Trigonometry 1
In 1419, find, to the nearest tenth, the measure of the third side of each triangle. In ABC, a 5 62.5, b 5 44.7, and mC 5 133.

Amsco's Algebra 2 and Trigonometry 1
In 1419, find, to the nearest tenth, the measure of the third side of each triangle. In RST, RS 5 0.375, ST 5 1.29, and mS 5 167.

Amsco's Algebra 2 and Trigonometry 1
In 1419, find, to the nearest tenth, the measure of the third side of each triangle. In ABC, AB 5 2.35, BC 5 6.24, and mB 5 115.

Amsco's Algebra 2 and Trigonometry 1
Ann and Bill Bekebrede follow a familiar triangular path when they take a walk. They walk from home for 0.52 mile along a straight road, turn at an angle of 95, walk for another 0.46 mile, and then return home. a. Find, to the nearest hundredth of a mile, the length of the last portion of their walk.

Amsco's Algebra 2 and Trigonometry 1
When two forces act on an object, the resultant force is the single force that would have produced the same result. When the magnitudes of the two forces are represented by the lengths of two sides of a parallelogram, the resultant can be represented by the length of the diagonal of the parallelogram

Amsco's Algebra 2 and Trigonometry 1
A field is in the shape of a parallelogram. The lengths of two adjacent sides are 48 meters and 65 meters. The measure of one angle of the parallelogram is 100. a. Find, to the nearest meter, the length of the longer diagonal. b. Find, to the nearest meter, the length of the shorter diagonal.

Amsco's Algebra 2 and Trigonometry 1
A pole is braced by two wires that extend from the top of the pole to the ground. The lengths of the wires are 16 feet and 18 feet and the measure of the angle between the wires is 110. Find, to the nearest foot, the distance between the points at which the wires are fastened to the ground.

Amsco's Algebra 2 and Trigonometry 1
Two points A and B are on the shoreline of Lake George. A surveyor is located at a third point C some distance from both points. The distance from A to C is 180.0 meters and the distance from B to C is 120.0 meters. The surveyor determines that the measure of ACB is 56.3. To the nearest tenth of a me

Amsco's Algebra 2 and Trigonometry 1
Two sailboats leave a dock at the same time sailing on courses that form an angle of 112 with each other. If one boat sails at 10.0 knots per hour and the other sails at 12.0 knots per hour, how many nautical miles apart are the boats after two hours? (nautical miles 5 knots 3 time) Round to the near

Amsco's Algebra 2 and Trigonometry 1
Use the Law of Cosines to prove that if the angle between two congruent sides of a triangle measures 60, the triangle is equilateral.