Correct Answer: B. 1200.00

Correct Answer: A. air-tight containers

Correct Answer: C. demolish

Correct Answer: D. figures will be grossly under-stated

Correct Answer: B. in which large hydrocarbon molecules are broken into smaller units.

Explanation

(a) Area of minor sector = \(\frac{\theta}{360} \times \pi r^{2}\)

= \(\frac{96}{360} \times \frac{22}{7} \times 5^{2}\)

= \(20.95 cm^{2}\)

Area of triangle formed from the sector = \(\frac{1}{2} r^{2} \sin \theta\)

= \(\frac{1}{2} \times 5^{2} \times \sin 96\)

= \(12.43 cm^{2}\)

\(\therefore \text{The area of minor segment} = 20.95 - 12.43\)

= \(8.52 cm^{2}\)

(b) Area of minor sector = \(\frac{\theta}{360} \times \pi r^{2}\)

= \(\frac{80}{360} \times \frac{22}{7} \times 7^{2}\)

= \(34.22 cm^{2}\)

Area of the square = \((14)^{2} = 196 cm^{2}\)

Area of the circle = \(\pi r^{2} = \frac{22}{7} \times 7^{2} = 154 cm^{2}\)

Area of the shaded portion in the square = \(196 - 154 = 42 cm^{2}\)

Total area of the shaded portions = \(42 + 34.22\)

= \(76.22 cm^{2} \approxeq 76.2 cm^{2}\)

Explanation

(a)Ways of terminating a contract:

• By agreement: before any of the two parties perform their part of the contract, they may both agree to terminate it.
• By performance: when each party has performed their part of the contract, it is automatically terminated.
• By breach: a contract is terminated if one party fails to perform its part of the contract.
• By frustration: when the performance of a contract by one party is rendered impossible due to factors beyond its control or no contemplated by the two parties e.g. death, ill-health and government legislation
• By lapse of time: a contract is terminated after the period stipulated for it has ended.
• Bankruptcy: a contract can be terminated when either of the parties is declared bankrupt.

(b)Duties of an Agent to his Principal

• The agent must obey all lawful instructions by his principal.
• He has to exercise reasonable care, skill and diligence in performing his duties.
• He must act in good faith and honesty for the benefit of his principal by not competing with him or divulging his secrets.
• He must act personally and not delegate his duties to someone else.
• He must render account of his stewardship to his principal whenever required.
• He must not make any secret gains or commission beyond what is authorised by his principal.
• He must disclose dealings of conflicting interest with the principal so as to obtain permission to carry them out and obtain commission outside what is paid by the principal.

Correct Answer: B. Fine-textured soils are warm soils and coarse-textured soils are cool soils

Correct Answer: C. parastatals

Correct Answer: B. Mercury