Explanation

(a) \(P \propto Q\) and \(P \propto \frac{1}{R^{2}}\).

\(P \propto \frac{Q}{R^{2}} \implies P = \frac{kQ}{R^{2}}\)

When P = 1, Q = 8, R = 2

\(1 = \frac{8k}{2^{2}} \implies 8k = 4\)

\(k = \frac{4}{8} = 0.5\)

\(P = \frac{Q}{2R^{2}}\)

When P = 3, R = 5, Q = ?

\(3 = \frac{Q}{2(5^{2})}\)

\(3 = \frac{Q}{50} \implies Q = 150\).

(b)

Angular difference : 60° - 20° = 40°

\(\frac{\theta}{360} \times 2\pi r \)

\(r = R\cos \theta\)

\(\frac{40}{360} \times 2 \times 3.142 \times 6400 \cos 20 = \frac{1511687.278}{360}\)

= \(4199.13 km\)

\(Speed = \frac{Distance}{Time}\)

= \(\frac{4199.13}{6}\)

= \(699.85 km/hr\)

\(\approxeq 700 km/hr\) (to 3 significant figures)

(ii) \(D = \frac{\theta}{360} \times 2\pi r\)

\(420 = \frac{\theta}{360} \times 2 \times 3.142 \times 6400\)

\(\theta = \frac{420 \times 360}{2 \times 3.142 \times 6400}\)

\(\theta = \frac{151200}{40217.6} = 3.76°\)

Latitude of C : 20° + 3.76° = 23.76°

Note that due North implies same longitude but different latitude.

Correct Answer: C. y = x² - x - 2

Correct Answer: D. phosphorus sulphide

Correct Answer: D) raise investment finance among their members

Explanation

The main function of thrift, credit, and loans co-operative societies is to raise investment finance among their members. This means that these societies help their members to pool their money together and invest it in various business ventures. By doing this, the co-operative societies enable their members to access funds and participate in investment activities that they may not be able to do individually. Thrift, credit, and loans co-operative societies work by collecting money from their members, which is referred to as thrift. This money is then used to provide loans and credits to members who need financial assistance for various purposes such as starting a business, buying a house, or paying for education. The co-operative societies also disburse the money to their members, meaning that they distribute the funds to the individuals who have been approved for loans or credits. In addition to providing financial services, thrift, credit, and loans co-operative societies also educate their members. They offer training and information on financial management, investment opportunities, and other related topics. This education helps members to make informed decisions about their finances and investments. Therefore, the correct option is D: raise investment finance among their members. This reflects the primary role of thrift, credit, and loans co-operative societies in facilitating investment activities and providing financial services to their members. Note: The answer may be wrong or the question incorrect given the options. The other options mentioned, such as educating members, collecting money, and disbursing money, are also important functions of thrift, credit, and loans co-operative societies. However, the primary function is to raise investment finance among their members.

Correct Answer: B. prevent disease infection

Correct Answer: B. 71°

Explanation

In the diagram, < TRS = \(\frac{76^o}{2}\) = 38\(^o\)

Hence, angle PRS = 33\(^o\) + 38\(^o\)

= 71\(^o\)

Correct Answer: C. Hunayn

Correct Answer: B. 12

Correct Answer: B. Tertiary

Correct Answer: D. symbolic