1) In the triangle ABC, AB?6cm, and BC?9cm

1) In the triangle ABC, AB?6cm, and BC?9cm. Given that the area of the triangle is 18cm2, find the possible values of angle B.

2.    Find the exact value of tan30 (6sin135 ? 4cos210 ) , giving your answer in the form a?b 6.

3   Simplify (36 + 4 . 27 ÷ 4 – 18) ÷ 5.

4.      Proper aerobic exercise involves exercising at a person’s correct training heart rate. To find the correct training heart rate the following formulas are used.

a.      Training heart rate   = (maximum heart rate – resting heart rate) × 0.65 + resting heart rate

b.      maximum heart rate = 220 – person’s age

Find the training heart rate for a 50-year-old with a resting heart rate of 65 beats per minute

5.     Translate the following into an algebraic expression:

 the sum of five times a number and three

6.      Solve 4(x + 1) = –15.

7.      Evaluate | y + 7 | if y = –2.