24. The Law of Cosines (a) Two boats leave the same port at teh same time. One travels at a speed of 40 mi/h in the direction N 48° E and the other travels at a speed of 20 mi/h in the direction S 12°E. How far apart are the boats after 3/2 hours? (b) Two boats leave the same port at the same time. One travels at a speed of 10 mi/h in the direction S 12° W and the other travels at a speed of 20 mi/h in the direction S 72° W. How far apart are the boats after one hour? (c) A pilot flies in a straight path for 2 hours. She then makes a course correction, heading 45° to the right of her original course and flies 1 hour in the new direction. If she maintains a constant speed of 200 miles per hour, how far is she from her starting position? (d) Two straight roadsd diverge at an angle of 45°. Two cars leave the intersection at 4 pm, one traveling at 40 mi/h and the other at 60 mi/h. How far apart are the cars at 4:30pm? (e) Use either Law of Sines or Law of Cosines to determine possibilities for ZA, ZB, and ZC in the triangle AABC if b = (f) Triangle AABC has a = 7, 6 = 8 and c= 10. Solve for cos A. = 10/13, a = 10 and c= 30. 24.(a) 90mi (b) 10/3mi (c) 10/6 – 2/2mi (d) 10/13 – 6v2mi 7/13 (e) cos(A) 26 13 (f) cos(A) 32

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.