Correct Answer: D. 3.5 x 10²

Explanation

\(\frac{8.75}{0.025}\)

= \(\frac{8750}{25}\)

= \(350\)

= \(3.5 \times 10^2\)

Correct Answer: C. democracy

Correct Answer: A. reduction in imports

Correct Answer: B. Member house of representative

Explanation

A. Circumstances under which Peter was rescued from prison. (Acts 12:1-19):

i.Herod Agrippa joined in the opposition to the gospel by persecuting the disciples to please the Jews. .

ii He had James the brother of John killed.

iii. After James' death, he realized that the Jews were happy.

iv. And in order to please them the more. he had Peter imprisoned.

v. Herod's intention was to have Peter killed after the feast of unleavened bread.

vi. The night prior to the day Herod planned to kill Peter, Peter was sleeping between two soldiers.

vii. Suddenly, an angel of the Lord appeared to Peter and asked him to dress up and put on his shoes.

viii. While in prison, fervent prayers were said for Peter by the brethren.

ix. The angel commanded Peter to wrap his mantle and follow him.

x. Peter followed the angel through the first and second gates.

xi. When Peter got to the Iron Gate leading to the City, the gate opened on its own accord.

xii. And just as they went out, the angel left Peter and he realized that it was an angel of the Lord that came to rescue him.

xiii. Peter went to Mary's house and when knocked at the door, Rhoda saw and she announced his presence to the brethren.

xiv However, the brethren did not believe her and thought she was mad.

XV. The brethren insisted that it was peters angel that she saw.

xvi. Peter then joined the brethren who were praying for him in the house of Mary the mother of John Mark.

B Lessons that can be learned from the incident in 7A above:

i. The united fervent prayer of the church has a great effect.

ii. The church should learn to petition God and intercede for those in crisis.

iii. God still answers the prayers of the faithful ones.

iv. God can still save his people in any difficult situation.

v. We should have no doubt when we pray/believe in our prayers.

vi. In every situation, God is still with us.

vii. The need to trust in God no matter the circumstance.

viii. The supremacy of God prevails over all other authorities.

Correct Answer: A. personification

Correct Answer: A. non partisan judiciary

Explanation

Deception pervades the play. From the first scene to the last, one character or the other is deceived by or deceives another. By this deception, humour and suspense are sustained. Bobchinsky and Dobchinsky are informed by Vlass that a certain guest, a young man whom the two have noticed, is from Petersburg. He has been lodging at the inn for two weeks and appears to be in no hurry to leave while eating on credit. Having had wind of a letter warning the Mayor of the imminent arrival of an official who is coming from Petersburg incognito to inspect the whole province', they wrongly conclude that he is the expected official.

Convinced of their discovery, Bob and Dob hurry to the Mayor, disrupt the meeting at which the very matter of the visit is being discussed, and deliver the deceptive news that the personage is already in town. There is humorous panic among the deceived Mayor and the local authority officials. The Mayor, taken in by the news, decides to meet the supposed visiting official, tacitly acknowledging his own corrupt dealings. The deception is reinforced as the Mayor strives to bribe Hlestakov. The other local officials follow suit. The merchants take their place in the queue to offer inducements to Hlestakov to take up their grievances against the Mayor. Hlestakov himself is full of deception. Seeing that he has been mistaken for a more important personage than he is, he reinforces the deception by extorting bribes as loans that he obviously does not intend to repay.

Hlestakov worms his way into the affection of Anna, who, being deceived, persuades her husband to give his blessing to a union between their daughter and Hlestakov. The deception is humorous and keeps the plot moving through its suspense.

The announcement of the engagement of Marya to the imposter causes great excitement. Everyone congratulates the Mayor and his family on their good fortune, even envying them their luck. The people are deceived as the merchants recant and withdraw their complaints against the Mayor.

Yosif also play an important role in the deception that occurs in the play. He realizes their being mistaken for prominent people and plays his part well in the deception. Just before the arrival of the real Government Inspector, it is Yosif who impresses upon his master that it is time to run. Apart from these, there are various incidents of deception in the play, such as officials putting their house in order for the benefit of the supposed inspector, and mother and daughter vying for Hlestakov's affection.

The scales fall from the eyes of the town officials with the receipt of a letter from Hlestakov, insulting all of them. The arrival of his Excellency the Inspector-General, himself, appointed by Imperial decree, reveals the true identity of Hlestakov as an imposter.

Explanation

(a) \(\frac{0.6 \times 32 \times 0.004}{1.2 \times 0.008 \times 0.16}\)

= \(\frac{6 \times 10^{-1} \times 32 \times 4 \times 10^{-3}}{12 \times 10^{-1} \times 8 \times 10^{-3} \times 16 \times 10^{-2}}\)

= \(\frac{4}{2 \times 4 \times 10^{-2}}\)

= \(\frac{1}{2} \times \frac{1}{10^{-2}\)

= \(0.5 \times 10^{2} \)

= \(5 \times 10^{1}\)

(b)

In the diagram above, \(< GHB = 180 - 7x°\) (angles on a straight line)

\(< HBN = 180 - 7x°\) (alternate angles)

\(< EBN = 3x°\) (corresponding angles)

Then \(3x° + (180 - 7x)° = 120°\)

\(\implies 3x° - 7x° + 180° = 120°\)

\(\implies 180° - 120° = 7x° - 3x°\)

\(60° = 4x°\)

\(x = 15°\)

Hence, \(< GHB = 180° - (7 \times 15°) = 180° - 105°\)

= \(75°\).

Correct Answer: D. State