Correct Answer: C. customs

Explanation

(\(\frac{√3-3}{√3}\)) = \(\frac{√3}{√3}\)\

\(\frac{3-√3}{3}\)

= 1 - √3

20 = 15 + 10 - x

x = 25 - 20 = 5

P(both) = \(\frac{5}{20}\)

= \(\frac{1}{4}\) or 0.25

Correct Answer: D. purchases will be debited

Explanation

Goods received from head office Accounting entries: Dr: Purchase account Cr: Head office current account

Explanation

(i) Stress = \(\frac{force}{\text{cross sectiona area}}\)

= \(\frac{40}{3.142 (1 \times 10^{-3})^2}\) = 12.74 x 10\(^{6}\)Nm\(^{-2}\)

(ii) Strain = \(\frac{e}{I}\) = \(\frac{24 \times 10^{-5}}{4}\)

= 6.0 x 10\(^{-5}\)

Correct Answer: D) did not believe God's words

Explanation

The question is asking why Angel Gabriel told Zachariah that he would become dumb until John was born. The options are A, B, C, and D. Option D is the correct answer.

Zachariah was a priest who served in the temple. One day, while he was burning incense in the temple, Angel Gabriel appeared to him and told him that his wife, Elizabeth, would have a son whom they should name John. Zachariah did not believe the Angel's words and asked for a sign. As a result, Angel Gabriel told him that he would become dumb until John was born.

The reason why Angel Gabriel did this is that Zachariah did not believe God's words. Zachariah's doubt showed that he did not have faith in God's plan, and therefore, he was punished by becoming unable to speak until John was born. This event highlights the importance of faith in God's plan and the consequences of not believing in God's words.

To learn more about this, please read the relevant sections of the recommended textbooks.

Explanation

a. Since K is the centre and KR and KS are radii, ?SKR is isosceles.

∠SRK + ∠RSK + ∠SKR = 180° (sum of angles in a triangle is 180o)

⇒ ∠SRK + ∠RSK + 80° = 180°

⇒ ∠SRK + ∠RSK = 180° - 80° = 100°

Since ∠SRK = ∠RSK (base angles of an isosceles triangle are equal)

∠SRK = ∠RSK = \(\frac{100^0}{2} = 50^0\)

∠RSP = 50° + 41° = 91°

∴ ∠ RQP = 180° - 91° = 89° (opp. angles of a cyclic. quad. are supplementary)

b. Since KR is a bisector of angle ∠SRQ:

∠SRK = ∠KRQ = 50°

∠SRQ = 50° + 50° = 100°

∴ ∠SPQ = 180° - 100° = 80° (opp. angles of a cyclic. quad. are supplementary)

Correct Answer: D. thirty thousand years

Correct Answer: D. were unanimous in their position

Correct Answer: D) annelids

Explanation

Nematodes or round worms are all cylindrical and non segmented but annelids in addition to being segmented can either be round/cylindrical asin earthworm or flat as in leeches.

Correct Answer: B. 0.20 mole