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.

1. In the triangle ABC, AB6cm, and BC9cm. 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 ) , givin

Task 3 Overview: Dear writer, you are to provide solutions for the following problems: 1. In the triangle , cm and cm. Given that the area of the triangle is cm 2, find the possible values of the angle . 2. Find the exact value of , giving your answer in the form . 3. Show that for a small angle , measured in radians, . 4. Prove that . 5. Simplify (36 + 4 . 27 ÷ 4 – 18) ÷ 5. 6. 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 7. Translate the following into an algebraic expression: the sum of five times a number and three 8. Solve 4( x + 1) = –15. 9. Evaluate | y + 7 | if y = –2. ABC 6 AB 9 BC 18 B tan 30 (6 sin135 4 cos 210 ) 6 ab 3 sin 3 (1 cos 2 ) 6 22 3 sin (3sin 4 cos ) 3 cos cos tan