Correct Answer: C. Mass Media

Correct Answer: B. Civil service

Correct Answer: C. kidney

Correct Answer: B. freight note

Explanation

Countries measure their national incomes for various reasons which include:

(i) It gives an indication of the standard of living of the country through the measure of per capita income.

(ii) It helps the country to determine the growth rate of the economy.

(iii) The national income figure determines the country's contribution to international organisation.

(iv) The per capita income which is obtained from the national income estimate is used to compare the standard of living with other countries

(v) The national income estimate is vital for economic policy and planning.

(vi) Measured through the output approach, it enables the country to know the performance of the various sectors of the economy.

(vii) The national income data gives an idea of the pattern of expenditure of households.

Correct Answer: B. be forgiven by God

Correct Answer: A. demand for rice

Correct Answer: B. are susceptible to algal growth

Correct Answer: B. Public relations

Explanation

Public relations; the professional maintenance of a favourable public image by a company or other organization or a famous person.

Explanation

(a)

\(\sin x = \frac{5}{13}\)

\(AB = \sqrt{13^{2} - 5^{2}} = 12\)

\(\cos x = \frac{12}{13}\)

\(\tan x = \frac{5}{12}\)

\(\frac{\cos x - 2 \sin x}{2 \tan x} = \frac{\frac{12}{15} - 2(\frac{5}{13})}{2(\frac{5}{12})}\)

= \(\frac{\frac{12}{13} - \frac{10}{13}}{\frac{5}{6}}\)

= \(\frac{2}{13} \times \frac{6}{5} = \frac{12}{65}\)

(b) (i)

< QRP = 180° - 70° = 110° (angles on a straight line)

< RQP = 180° - (110° + 30°) = 40°

\(\frac{PR}{\sin 40°} = \frac{PQ}{\sin 110°}\)

\(\frac{500}{\sin 40°} = \frac{PQ}{\sin 110°}\)

\(PQ = \frac{500 \sin 110°}{\sin 40°} = 730.94m\)

\(\approxeq 731 m\)

(ii) \(\sin 30° = \frac{QN}{PQ} = \frac{QN}{730.94}\)

\(QN = 730.94 \times 0.5 = 365.47 m\)

\(\approxeq 365 m\)