Correct Answer: C. Information

Correct Answer: D. Reptile

Correct Answer: B) 15

Correct Answer: A) ?300,000

Explanation

(a) NEPAD is a vision and strategic framework for the socio-economic and political development of Africa

(b) (I) A commitment to good governance as a pre-condition for economic growth

(ii) strengthening democracy and the Rule of Law in Africa

(iii) achieving peace, security and stability in Africa

(iv) Acceleration of the empowerment of women in Africa

(v) to make Africa attractive to both domestic and foreign investors

Correct Answer: C. shrouded

Explanation

The correct word to complete the sentence is 'shrouded'. The death of that journalist is still shrouded in mystery. This is because 'shrouded' means to be covered or hidden from view. In this context, it means that the circumstances surrounding the death of the journalist are still unclear or hidden.

Correct Answer: B. laterite

Explanation

\(|AB| = \sqrt{(-1 - 3)^{2} + (2 - 5)^{2}}\)

= \(\sqrt{16 + 9} = \sqrt{25}\)

= 5 units.

\(|AC| = \sqrt{(4 - 1)^{2} + (8 - 2)^{2}}\)

= \(\sqrt{25 + 36}\)

= \(\sqrt{61}\) units.

\(|BC| = \sqrt{(4 - 3)^{2} + (8 - 5)^{2}}\)

= \(\sqrt{1 + 9} \)

= \(\sqrt{10}\) units.

From the cosine rule,

\((\sqrt{61})^{2} = 5^{2} + (\sqrt{10})^{2} - 2(5)(\sqrt{10}) \cos <PBQ\)

\(\cos < PBQ = \frac{25 + 10 - 61}{2(5)(\sqrt{10})}\)

\(\cos < PBQ = \frac{-26}{10\sqrt{10}} = -0.4747\)

\(< PBQ = 118°, \beta = < PBQ = 118°\)

\(< BPS = \alpha = 180° - 118° = 62°\)

The magnitude of the resultant

\(|R|^{2} = 5^{2} + (3\sqrt{10})^{2} - 2(5)(3\sqrt{10}) \cos 62\)

= \(25 + 90 - (30\sqrt{10})(0.4695)\)

= \(115 - 44.538\)

= \(70.462\)

\(|R| = \sqrt{70.462} = 8.39N\)

Let \(\delta\) be the angle the resultant makes with the 5N force.

\(PS^{2} = BS^{2} + BP^{2} - 2(BS)(BP) \cos PBS\)

\((3\sqrt{10})^{2} = (\sqrt{70.462})^{2} + 5^{2} - 2(8.39)(5) \cos \delta\)

\(90 = 70.462 + 25 - 83.9 \cos \delta\)

\(\cos \delta = \frac{70.462 + 25 - 90}{83.9}\)

\(\cos \delta = 0.0651\)

\(\delta = \cos^{-1} (0.0651) = 86.27°\)

\(\approxeq 86°\).

The resultant makes an angle of 86° with the 5N force.

(b)(i) \(u = 0 ms^{-1} ; v = 20 ms^{-1} ; s = 8 m ; a = ?\)

\(v^{2} = u^{2} + 2as \)

\(20^{2} = 0^{2} + 2(8)a \implies 400 = 16a\)

\( a = 25 ms^{-2}\)

(ii) \(t = ?\)

\(s = ut + \frac{1}{2} at^{2}\)

\(40 = 0 + \frac{1}{2} (25)(t^{2})\)

\(80 = 25t^{2}\)

\(t^{2} = \frac{80}{25} = 3.2\)

\(t = \sqrt{3.2} = 1.79 s\)

It takes 1.79s to cover a distance of 40m.

Correct Answer: A. be written in the hearts of the people

Correct Answer: C. Wet point settlement