Correct Answer: B. determine the cost of stock at the end of business

Correct Answer: D. Story book

Explanation

(a) \(5 \cos (x + 8.5)° - 1 = 0\)

\(5 \cos (x + 8.5)° = 1\)

\(\cos (x + 8.5)° = \frac{1}{5} = 0.2\)

\((x + 8.5)° = \cos^{-1}(0.2) = 78.463°\)

\(x = 78.463° - 8.5 = 69.963°\)

\(\approxeq 70°\) (to the nearest degree).

(b)(i)

(ii) By the cosine rule,

\(|QR|^{2} = 32^{2} + 24^{2} - 2 \times 32 \times 24 \times \cos 45\)

\(|QR|^{2} = 1024 + 576 - 1536 \cos 45\)

= \(1600 - 1086.1056\)

\(|QR|^{2} = 513.8944\)

\(|QR| = \sqrt{513.8944} = 22.669 km\)

\(\approxeq 22.67 km\) ( 2 decimal place)

(iii) By the sine rule,

\(\frac{32}{\sin \alpha} = \frac{22.67}{\sin 45}\)

\(\sin \alpha = \frac{32 \times \sin 45}{22.67}\)

= \(0.9981\)

\(\alpha = \sin^{-1} (0.9981) = 86.4787°\)

The diagram below shows all the angles at Q;

The bearing of R from Q is given by the reflex angle NQR. Thus

reflex < NQR = 360° - (86.47° + 30°) = 360° - 116.47°

= 243.53°

Hence, the bearing of R from Q = 244° (to the nearest degree).

(a) \(5 \cos (x + 8.5)° - 1 = 0\)

\(5 \cos (x + 8.5)° = 1\)

\(\cos (x + 8.5)° = \frac{1}{5} = 0.2\)

\((x + 8.5)° = \cos^{-1}(0.2) = 78.463°\)

\(x = 78.463° - 8.5 = 69.963°\)

\(\approxeq 70°\) (to the nearest degree).

Correct Answer: D. decreases down the group

Explanation

(a)Members of ECOWAS

• Nigeria
• Senegal
• Ghana
• Sierra Leone
• Guinea
• Burkina Faso
• Liberia
• Mali
• Niger Republic

(b)Factors Hindering achievement of ECOWAS Objectives

• Fear of domination – members are always suspicious and afraid of each other because of the uneven development in the region.
• Currency differences - the differences in currency among member nations had made the transfer of capital difficult and also reduced trading activities.
• Cultural and Language differences – members have different cultures and languages which inhibit proper integration.
• Political Instability - the constant changes in government among member nations as a result of coups lead to political instability in the sub-regions.
• Political Ideology/Colonial Ties - the West African region is split into
• French and English speaking countries. Member countries still lean to their colonial masters.
• Contribution from members – the irregular payment of fund by members adversely affect the achievement of the ECOWAS objectives.
• Failure of members to Implement Resolutions:- Members of the sub-region fail to implement resolutions.
• Lack of infrastructural facilities:- Infrastructural facilities are not adequate in most of the member countries.

(c)Objectives of the Niger Basin Commission

• To ensure the most effective utilization of the resource of the River basin including navigation.
• To streamline the construction of dams on the River Niger.
• To collect, evaluate, and dissimilate data on the basin.
• To promote studies on the agricultural potentials of the River Niger.
• To draw up general regulations to ensure the implementation of the principles set forth in the Act of Niamey.
• To enhance economic co-operation and development among its members.
• To undertake schemes to control flood, erosion and pollution.

Correct Answer: A. Benguela current

Correct Answer: D. cuttings

Correct Answer: D. Rapid evaporation

Correct Answer: A. dirge

Correct Answer: B. is borne only by the consumer