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Mth – LINEAR EQUATIONS AND INEQUALITIES + TRIGONOMETRY AND BEARING

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1

What is the value of x in √(x - 4) = 3?

2

What is the solution of √(x - 5) = 0?

3

A ladder 13 m long reaches a window 12 m high. What is the angle of elevation of the ladder?

4

What is the area of a sector with radius 4 cm and angle 90°?

5

What is the bearing of West?

6

Which of the following is a radical equation?

7

Solve: |4x| = 20

8

Which equation has solution set {3, -3}?

9

If the sector angle is 120° and radius is 9 cm, what is the arc length?

10

Solve: |x| = |x - 2|

11

Solve for x: 3√x - 2 = 10

12

Solve: |x - 7| = 2

13

Solve: |x| = 7

14

Simplify: 1 - sin² θ = ?

15

A bearing of 045° means the direction is:

16

From the top of a cliff 50 m high, the angle of depression of a boat is 30°. How far is the boat from the base of the cliff?

17

A man walks 5 km due North and then 5 km due East. What is his bearing from the starting point?

18

Which operation should be done first to solve √(x+2) = 3?

19

Simplify: sin² θ + cos² θ = ?

20

What is the sector angle of a circle if the arc length is 10 cm and the radius is 5 cm?

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