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 ) , givin

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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, 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 ) , 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       

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