Mathematics Homework Solutions

Graphing Polar Equations

Please see the attached file for the fully formatted problems.

Cube Roots of 27 and Vector Operations

14. Find the three cube roots of 27. Write roots in rectangular form. 15. If P = (—2.3). P7 = (—1,5),and is the vector from P1 to P2, a. Write v in terms of i and j. b. Find ||v|| In Exercises 16—19, let v=—5i+2j and w=21—4j. Find the specified vector, scalar, or angle. 16.3v—4w 17.v.w 18. the angle between v and w, to ...continues

Trigonometry and Vector Components Word Problems

20. A small fire is sighted from ranger stations A and B. Station B is 1 .6 miles due east of station A. The bearing of the fire from station A is N40°E, and the bearing of the fire from station B is N5OW. How far, to the nearest tenth of a mile, is the fire from station A? 21. The magnitude and direction of two forces acting ...continues

Graphing Polar Equations

Please see the attached file for the fully formatted problems.

Probability and Solving Systems of Equations

1. A coin is tossed and a die is rolled. What is the probability that the coin shows heads and the die shows a 1 OR a 2? I tried this one and came up with 1/6 but the OR part is kicking my tail. Maybe I am just over thinking this one. 2. A technician is designing a new portable CD player that requires ten batteries fo ...continues

Trigonometry and Geometry Word Problems

3) A building 210 feet tall casts a 90 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person’s eyes to the top of the building (to the nearest hundredth of a degree)? (Assume the person’s eyes are 4 feet above ground level.) A) 66.40° B) 64.09° C) ...continues

Trigonometry Word Problems

13) A rocket tracking station has two telescopes A and B placed 1.3 miles apart. The telescopes lock onto a rocket and transmit their angles of elevation to a computer after a rocket launch. What is the distance to the rocket from telescope B at the moment when both tracking stations are directly east of the rocket telescope A r ...continues

Questions

(See attached file for full problem description)

Questions

(See attached file for full problem description)

Finding the angle made by an arc at the center of the circle

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s , while the radius r = 1 meter and s = 300 centimeters. Find a positive angle less than 360degrees that is co terminal with the angle – 822degrees The minute hand of a clock is 5 inches long. How far does the tip of th ...continues

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