1. Which equation has no real solution?
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Mth – LINEAR EQUATIONS AND INEQUALITIES + TRIGONOMETRY AND BEARING
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2. What is the value of x in 2√x - 5 = 3?
3. Solve: |x/2| = 3
4. Which of the following is a radical equation?
5. In a triangle, if tan θ = 4/3, what is sin θ?
6. Solve: 5√x = 20
7. In a right-angled triangle, if the opposite side is 6 and the adjacent side is 8, what is tan θ?
8. A ship travels 8 km east and then 6 km north. What is the bearing of the ship from the starting point?
9. Solve: |x| = -5
10. What is the value of cos 60°?
11. Solve for x: √(5x) = 10
12. If the angle of depression from the top of a building to a car is 45° and the building is 30 m high, how far is the car from the building?
13. If a point is at a bearing of 200°, in which quadrant is it?
14. A man walks 5 km due North and then 5 km due East. What is his bearing from the starting point?
15. Solve: |x + 3| = 0
16. If sin θ = 3/5, what is the value of cos θ?
17. A ship sails from port P to port Q on a bearing of 120°. What is the back bearing from Q to P?
18. Which equation has no real solution?
19. What is the solution of √(2x + 1) = 5?
20. What is the reciprocal of sin θ?