Explanation

(a) \(\frac{3p + 4q}{3p - 4q} = 2\)

\(3p + 4q = 2(3p - 4q)\)

\(3p + 4q = 6p - 8q\)

\(3p - 6p = - 8q - 4q\)

\(-3p = - 12q\)

\(p = 4q\)

\(\frac{p}{q} = \frac{4}{1}\)

\(\therefore p : q = 4 : 1\).

(b)(i)

Perimeter of cross- section = 4 + x + 4 + 2 + y + 2

i.e 34 = 12 + x + y

x + y = 22 ..... (1)

From the diagram, |PQ| = |UR| (opp. sides of a rectangle)

i.e. x = 2 + d + 2

x - 4 = d ..... (2)

From (1), y = 22 - x is the circumference of the semi-circle.

\(22 - x = \frac{2\pi r}{2} = \pi r\)

\(r = \frac{d}{2} \)

\(22 - x = \frac{22}{7} \times \frac{(x - 4)}{2}\)

\(154 - 7x = 11x - 44\)

\(154 + 44 = 11x + 7x \)

\(198 = 18x\)

\(x = \frac{198}{18} = 11 m\)

Hence, |PQ| = 11 m.

(ii) Area of cross section = Area of rectangle PQRU - area of semi-circle

Area of rectangle = \(11 \times 4 = 44 m^{2}\)

Area of semi-circle = \(\frac{\pi r^{2}}{2} \)

= \(\frac{22}{7} \times (\frac{(11 - 4)}{2})^{2} \times \frac{1}{2}\)

= \(19.25 m^{2}\)

Area of cross section = \(44 - 19.25 = 24.75 m^{2}\).

Correct Answer: C. Shopping product

Correct Answer: C. around large cities in industrial societies

Correct Answer: B) researchers should not assume that an innate attraction to face-like stimuli is necessarily an adaptation related to social interaction or parental care.

Explanation

The choice that most logically completes the text is B) risk misrepresenting the full range of Zelda's contributions to literature. The text discusses how scholars often view Zelda Fitzgerald primarily as an inspiration for F. Scott Fitzgerald's writings, overlooking her own accomplishments as a writer. By choosing option B, the text highlights that those who primarily view Zelda as an inspiration for F. Scott's writings run the risk of misrepresenting her full range of contributions to literature. This suggests that Zelda's own works are significant and should be recognized and appreciated in their own right, rather than solely being seen as influences on F. Scott's writings.

Explanation

A. KING JOSIAH'S RELIGIOUS REFORMS IN ISRAEL (2 KINGS 23:4-25

i. After the discovery of the book of the law in the temple, King Josiah initiated some religious reforms.

ii. Josiah ordered Hilkiah, the priest to bring out all the vessels made for Baal and Asherah and all other gods.

iii. He burnt them outside Jerusalem in the fields of the Kidron and took the ashes to Bethel.

iv. He deposed the idolatrous priests whom the king of Judah had ordained to burn incense in high places to honour Baal and other gods.

v. He broke down the houses of the male cult prostitutes which had taken over the house of the Lord.

vi. He went all over the city and defiled and chased out the high priests from the temple where they burned incense to the gods.

vii. He defiled Topheth to prevent people from sacrificing their sons and daughters as burnt offering to Moloch.

viii. He removed the horses the king of Judah had dedicated to the worship of the sun god at the entrance of the temple and burned them.

ix. He destroyed all the altars put in place by Manasseh, Solomon, Jeroboam and other kings before him.

x. Josiah carried out his reforms up to the Northern Kingdom; he removed the shrines of the high places that were in the city of Samaria Bethel which the Israelites had made.

xi. Josiah killed and burned the bodies of all the priests of the high places.

xii. He restored the Passover feast and the Sabbath and commanded the people to keep it as it was written in the book of the covenant/He restored the ancient faith.

xiii. He abolished idolatry, witchcraft, sorcery, soothsaying, divination from Judah! Jerusalem.

xiv. Altars at the high places were demolished and worship was centralized in Jerusalem.

B. WAYS CHRISTIANS CAN MAINTAIN PURITY OF THEIR RELIGION

i. Always have faith in God! Repudiation! abandonment of syncretism.

ii. Daily study of God's word and scriptures/The need to maintain high moral standards.

iii. Following the moral teachings of the religion! Bible i.e. caring for the poor! needy, etc/obedience to the word of God.

iv. Proper training of religious leaders.

v. Monitoring of the moral standards expected of believers.

vi. Asking for forgiveness whenever one transgresses.

vii. Avoiding idolatry/occultism.

viii. Acknowledging Jesus' presence in every activity/ prayer, fasting and preaching.

ix. Avoiding sin immorality.

x. Maintaining peaceful co-existence.

xi. Change of negative attitudes to the environment eg. sanitation, work ethics! time management/ developing positive attitude to life.

xii. Encouraging religious tolerance e.g. through dialogue.

Correct Answer: A) Sokoto State

Explanation

The question is asking about two ethnic groups called Shanga and Kyenga. The question then asks the student to choose the state in which these ethnic groups can be found. The options given are Sokoto State, Bauchi State, Niger State, Kwara State, and Borno State. The correct answer is Option A: Sokoto State. This means that Shanga and Kyenga are ethnic groups that can be found in Sokoto State. It is important to note that ethnic groups are groups of people who share a common culture, language, and history. Sokoto State is located in the northwestern part of Nigeria and is known for its rich cultural heritage. Some of the popular cultural festivals in Sokoto State include the Argungu Fishing Festival and the Durbar Festival. Please note that this explanation may not be totally accurate.

Correct Answer: B. tragic flaw

Correct Answer: A. \(29\sqrt{5}\)

Explanation

\(3\sqrt{45}-12\sqrt{5}+16\sqrt{20}\\

3\sqrt{5\times 9}-12\sqrt{5}+16\sqrt{4\times 5}\\

3\times 3\sqrt{5}-12\sqrt{5}+16\times 2\sqrt{5}\\

9\sqrt{5}-12\sqrt{5}+32\sqrt{5}\\

29\sqrt{5}\)

Correct Answer: A. Over 1 to 2 million

Correct Answer: A. Afam