A ship sails 6km from a port on a bearing 070° and then 8km on a bearing of 040°. Find the distance from the port.

A. 7.21km

B. 13.53km

C. 16.86km

D. 44.57km

E. 67.17km

Calculate without using tables Tan 45° + Cos 60°

A. \(\sqrt{\frac{3}{2}}\) - 1

B. \(\frac{1}{2}\)

C. 1\(\frac{1}{2}\)

D. \(\sqrt{\frac{3}{2}}\) + 1

E. 2

A is at 50°N and B is at 10°N, If A and B are on the same longitude, find the distance AS. Correct your answer to Four significant figures. (Earth radius = 6400km)

A. 6468km

B. 5469km

C. 4470km

D. 3470km

E. 2488km

If a = {x : 1 < x < 9} ; b = {x : 0 < x < 9} ; C = {x : 2 x < 9} and a, b, c U, what are the elements in U?

A. U = {-1 < x < 9}

B. U = {0 < x < 9}

C. U = {1 < x < 9}

D. U = {1 < x < 10}

E. {2 < x < 10}

If log 3 = 0.4771 and log 2 = 0.3010, what is the value of log 12?

A. 0.0432

B. 0.4322

C. 1.0791

D. 1.2552

E. 1.5225

If 7 is subtracted from twice a certain number x, the result is at most 5. What is the range of the number?

A. x < 2

B. x < 3

C. x < 4

D. x < 5

E. x < 6

Find the standard deviation of the numbers 6, 9, 10, 8 and 7

A. 1.4

B. 2

C. 2.4

D. 5

E. 8

Simplify P^-6 × P³ × P² ÷ P⁴ × P⁰

A. p⁵

B. p⁴

C. p³

D. p^-3

E. p^-5

3 - 7, 8 - 12, 13 - 17, 18 - 22. Which of the following is/are true?
I. The class Interval is 4
II. The class boundaries are 2.5, 7.5, 12.5, 18.5, 22.5
III. The mid-marks are 5, 10, 15, and 20

A. I only

B. II only

C. III only

D. I and II only

E. II and III only

T varies directly as D and inversely as A. Given that T = 6, D = 3, and A = 2, find A when T = 3 and D = 6.

A. 4

B. 6

C. 8

D. 12

E. 24