Correct Answer: D. Othello

Explanation

The speaker is Brabantio and he is addressing Othello, having received the news about Othello's intentions toward his daughter. See page 9 Option D is the answer

Correct Answer: D. desert

Correct Answer: D. to eating

Explanation

The correct answer is D. to eating.

The structure be used to + gerund (-ing) means to be accustomed to something.

• In this sentence, because the auxiliary verb am is used (*I am used...*), it must be followed by to + verb-ing:

* *Now, I am used to eating bread without butter.*

*(Note: used to + base form without a form of be, such as I used to eat, is only used to describe past habits that are no longer true).*

Correct Answer: B. \(\frac{3}{8}\)

Explanation

Let \(p(head) = p = \frac{1}{2}\) and \(p(tail) = q = \frac{1}{2}\)

\((p + q)^{4} = p^{4} + 4p^{3}q + 6p^{2}q^{2} + 4pq^{3} + q^{4}\)

The probability of equal heads and tails = \(6p^{2}q^{2} = 6(\frac{1}{2}^{2})(\frac{1}{2}^{2})\)

= \(\frac{6}{16} = \frac{3}{8}\).

Explanation

(a)Treasures: Jesus taught the multitude on the need to lay up treasures in heaven where moth and rust will not consume and where thieves will not break in and steal. He warned them against laying up treasure on earth where thieves and moth will break in and steal. This admonition was necessary because where one's treasures is, there would be his heart also. Sound Eyes: Jesus was of the view that the eye is the lamp of the body. Jesus taught them that if the eye is sound, the whole body will be full of light. On the contrary, if the eye is not sound, the whole body will be full of darkness, they were to be careful that if the light in them is darkness, the darkness would be awesome. Two Masters: Jesus taught them that it is not possible for one person to serve two masters, since he will either hate one and love the other, or be devoted to one and despise another. Jesus admonished them to serve God rather than mammon.

(b) Misuse of earthly wealth can lead to serious consequence for a nation. Going by Jesus teaching, earthly wealth.is synonymous with mammon and abuse of it leads to extreme selfishness and lack of concern for others and this will bring about suffering to the entire nation. Outright use of earthly wealth leads to the worship of materialism. When this happens, such a nation loses its spiritual balance, becomes ungodly and gradually degenerates until it perishes like Sodom and Gomorrah. Misuse of earthly wealth widens the gap between the rich and the poor. Oppression of the poor by the rich will become the order of the day. In social parlance, the situation brings about general underdevelopment since the wealth of the nation is not well utilized.

Correct Answer: B. inwards

Correct Answer: B. recognizing accrued expenses

Correct Answer: A. indirect rule

Explanation

(a)

ST = QR ; PS = height of tower.

In \(\Delta\) PST,

\(\frac{72}{ST} = \tan 62°\)

\(ST = \frac{72}{\tan 62}\)

= 38.283m \(\approxeq\) 38.3m

In \(\Delta\) PQR, \(\frac{h}{QR} = \tan 51°\)

\(h = QR \times \tan 51°\)

= \(38.3 \times 1.235\)

= \(47.3m\)

QS = RT (height of the building)

QS = PS - PQ

= 72 - 47.3 = 24.7m

(b)

(i) \(\Delta POR = \Delta QOR\) (isosceles triangle)

\(\frac{PT}{30} = \sin 60\)

\(PT = 30 \sin 60 = 30 \times \frac{\sqrt{3}}{2}\)

= \(15\sqrt{3} cm\)

PT = TR

PR = 2PT

= \(2 \times 15\sqrt{3} = 30\sqrt{3} cm\)

= \(30 \times 1.732 = 51.96 cm\)

\(\approxeq 52 cm\)

(ii) Length of minor arc, PQR = \(\frac{\theta}{360} \times 2\pi r\)

= \(\frac{120}{360} \times 2 \times 3.142 \times 30\)

= \(62.84 cm\)

(iii) Perimeter of shaded portion = chord PR + Arc PQR

= 51.96 + 62.84

= 114.8 cm \(\approxeq\) 115cm.

Explanation

(a) Processes of Soil Formation: Soil formation takes place over a long period of time and it involves the mixture of inorganic mineral water, organic water, liquid substances, gaseous substances, and living organisms. It begins with the production of inorganic mineral matter from parent materials and also involves accumulation or organic substances. Other processes include movement of weathered products in the form of clay particles, colloids or solutions and plant nutrients through soil profile as well as action of living organisms

(b) Importance of Soil;

(i) Food for micro-organisms

(ii) Medium for plant growth

(iii) Source of materials

(iv) Support for plants

(v) Habitat for macro and micro organisms