Correct Answer: C. seasonal pattern of rainfall

Correct Answer: B. cursing God and the king

Correct Answer: C. vegetation

Correct Answer: D. early planting and spraying of insecticide

Correct Answer: D. 1.25

Explanation

n = \(\frac{3 \times\ 10^8}{2.4 \times\ 10^8}\)

n = 1.25

Explanation

(a) Let the angle subtended at the centre by XY = \(\theta\)

Length of chord = \(2r \sin \frac{\theta}{2}\)

\(\implies 6 cm = 2 \times 5 \times \frac{\theta}{2}\)

\(\sin \frac{\theta}{2} = \frac{6}{10} = 0.6\)

\(\frac{\theta}{2} = \sin^{-1} (0.6) = 36.87°\)

\(\theta = 2 \times 36.87° = 73.74°\)

(b) Area of sector = \(\frac{\theta}{360°} \times \pi r^{2}\)

= \(\frac{73.74}{360} \times \frac{22}{7} \times 5^{2}\)

= \(16.094 cm^{2}\)

Area of triangle = \(\sqrt{s(s - a)(s - b)(s - c)}\)

where \(s = \frac{a + b + c}{2}\)

\( a = 5 cm ; b = 5 cm ; c = 6 cm \therefore s = \frac{5 + 5 + 6}{2} = \frac{16}{2} = 8\)

\(\therefore Area = \sqrt{8(8 - 5)(8 - 5)(8 - 6)}\)

= \(\sqrt{8(3)(3)(2)}\)

= \(\sqrt{144}\)

= \(12 cm^{2}\)

Area of shaded portion = \(16.094 cm^{2} - 12 cm^{2} = 4.094 cm^{2}\)

Correct Answer: C) the community

Explanation

The question gives four options to choose from: the legislature, public officials, the community, and the head of state.

A legislature is a group of elected officials who make laws. While they have an important role in a democracy, they do not hold ultimate power.

Public officials are individuals who hold positions in government. While they have power, they also do not hold ultimate power.

The head of state is typically the highest-ranking official in a country, but they also do not hold ultimate power in a democracy.

The correct answer is option C: the community. In a democracy, the people hold ultimate power. This means that the community, or the citizens of a country, have the power to make decisions and choose who represents them in government.

It's important to note that while the community holds ultimate power in a democracy, this power is typically exercised through elected representatives. These representatives are responsible for making decisions on behalf of the community, but they are also accountable to the community. This is why it's important for citizens to participate in elections and hold their representatives accountable.

Overall, this question is testing your understanding of the basic principles of democracy and where ultimate power resides in a democratic system.

Correct Answer: D. used up the available oxygen

Correct Answer: C. al jandzah

Correct Answer: C. (6x² + 3) cos (2x³ + 3x - 4)