Explanation

(a) At the beginning of the reign of king Solomon, God asked him to make a request from Him and he rightly asked for wisdom to rule his people well. God added unto him riches and prosperity with the proviso that should he remain loyal like his father, He would grant him long life. Between the two harlots, he exhibited true wisdom in his judgement and he was also famous for his many proverbs and songs and for his botanical and scientific knowledge. The hallmark of his wisdom was, however, the temple which he built for the Lord in Jerusalem. He dedicated it with singing, dancing and sacrifices to the Lord. During the dedication, he prayed to God with devotion, not only for his people, but also for foreigners who would pray to God of Israel while facing the temple in Jerusalem. He brought the ark of the covenant from its former modest place of abode into the very presence of God in the holiest part of the temple. His commercial interests brought prosperity to his country.

(b) Some of king Solomon's unwise decisions are:

(i) Solomon's love of many foreign women was in total negation of God's command.

(ii) He allowed his foreign wives to come into Israel with their foreign gods. Not only did he build temples for these gods, he worshipped them together with these wives of his.

(iii) Solomon's forced labour (made up chiefly of slaves) and his over-taxation dissipated the economy of Israel.

(iv) His foreign diplomatic trading connections often cost Israel loss of territory. (For example, he lost twenty cities to Hiram, king of Tyre which he exchanged for the timber and expertise from Tyre

Explanation

(a)

(b)

(c) \(\sin x = \frac{1}{4}\) (Given)

Multiply through by 2 ; \(2 \sin x = 2 \times \frac{1}{4} = \frac{1}{2}\)

\(2 \sin x = \frac{1}{2} \implies 2 \sin x - \frac{1}{2} = 0\)

Add \(1\frac{1}{2}\) to both sides ;

\(2 \sin x - \frac{1}{2} + 1\frac{1}{2} = 0 + 1\frac{1}{2}\)

\(\implies 2 \sin x + 1 = 1\frac{1}{2}\)

Draw the line \(y = 1\frac{1}{2}\) on the same axis as \(y = 2 \sin x + 1\). The line \(y = 1\frac{1}{2}\) cuts the curve at points P and Q where x = 15° and x = 168°. Hence, the values of x for which \(\sin x = \frac{1}{4}\)are 15° and 168°.

Correct Answer: B. SEC

Correct Answer: A. Pyrometer thermometer

Explanation

A pyrometer is a type of remote-sensing thermometer used to measure the temperature of a surface. It does this by measuring the thermal radiation or infrared energy being emitted from the object. Therefore, a pyrometer thermometer measures temperature from the thermal radiation emitted by objects.

Correct Answer: D. have octet structure

Correct Answer: B. Directories

Correct Answer: A. starting

Correct Answer: D. Holiday resort

Correct Answer: C. Rainbow

Correct Answer: B. 72 ms^-1

Explanation

speed = \(\frac{dx}{dt}\)

\(\frac{dx}{dt}\) = 10 + 12t²

\(\frac{dx}{dt}\) = 24t

\(\frac{dx}{dt}\) =24 x 3

\(\frac{dx}{dt}\) = 72 ms^-1