Correct Answer: D. air pollution

Correct Answer: (c) 3rd closest to the sun

Correct Answer: D. f = \(\frac{1}{D}\)

Explanation

The equation f = \(\frac{1}{D}\) is not a correct mirror formula

Explanation

(a) 105° + 26° + x = 180°

131° + x = 180°

x = 180° - 131°

= 49°.

131° + x + 131° + 360 - y = 360°

131° + 49° + 131° + 360 - y = 360°

671° - y = 360°

y = 671° - 360°

= 311°.

(b)(i) \(\stackrel\frown{ABC} = \frac{1}{2} \stackrel\frown{AOC} reflex\)

= \(\frac{1}{2} \times 190° = 95°\)

(ii) \(\stackrel\frown{ADC} = \frac{1}{2} \stackrel\frown{AOC}\)

= \(\frac{1}{2} (360° - 190°)\)

= \(\frac{1}{2} \times 170°\)

= 85°

(c) (i) \(\stackrel\frown{ABC} = \frac{360 - 190}{360} \times 2\pi r\)

= \(\frac{170}{360} \times 2 \times 3.142 \times 7\)

= \(20.77 cm\)

\(\approxeq 20.8 cm\) (3 significant figures)

(ii) \(AD = 2 \times 7\cos 35\)

= \(14 \times 0.8192\)

= \(11.468 cm \approxeq 11.5 cm\) (3 significant figures)

Correct Answer: D. consumers buying less products

Correct Answer: A. raising the bank rates

Explanation

One way the central bank can reduce the rate at which banks lend money is by raising the interest rates bank charge on loans, this will discourage people from borrowing from commercial banks.

Correct Answer: C. 4

Explanation

\(\frac{\sqrt{8^2 \times 4^{n + 1}}}{2^{2n} \times 16}\)

= \(\frac{\sqrt{2^{3(2)} \times 2^{2(n + 1)}}}{2^{2n} \times 2^4}\)

= \(\frac{\sqrt{2^6 \times 2^{2n + 2)}}}{2^{2n} + 4}\)

= \(\frac{\sqrt{2^6 + 2^{2n + 2)}}}{2^{2n} + 4}\)

= \(\frac{\sqrt{2^{2n + 8}}}{2^{2n} + 4}\)

= \(\sqrt{2^{2n + 8} \div 2^{2n} + 4}\)

= \(\sqrt{2^{2n - 2n} + 8 - 4}\)

= \(\sqrt{2^4}\)

= \(\sqrt{16}\)

= 4

Explanation

(a)A state is defined as a politically organised body of people occupying a definite geographical territory, living under a government, entirely or almost entirely free from external control and competent to secure habitual obedience from persons within it.

(b) The Features of a State:

(i) A definite territory: A state must possess a definite territory which can be large or small.

(ii) Population: For a state to exist, there must be a given number of people that occupy it. This number has neither minimum nor maximum.

(iii) Government: A state must have a machinery called government that will steer its affairs.

(iv) Sovereignty and independence: A state must have supreme power to enable it make and enforce laws and it must be free from external control.

(v) A state must be recognised both internally and externally.

(vi)A state is permanent as much as possible.

Correct Answer: B. baobab and acacia

Correct Answer: B. female Anopheles mosquito