Correct Answer: C. 10N

Explanation

R = \(\sqrt{A^2 + B^2} = \sqrt{6^2 + 8^2} = 10N\)

Explanation

(a)

(b) /XT/ = 3.4 cm.

Correct Answer: A. be converted to carbide

Correct Answer: B) 1.8J

Explanation

(b) Geography of Western Highlands of Nigeria:

(i) Relief: (1) Soil type is ferruginous.

(2) Some of the hills are steep-sided.

(3) Rock type is basement complex.

(4) Height ranges from 300-600m above sea level.

(5) Area also known as Yoruba plateau

(6) Made up of group of hills, e.g. Idanre, Apata, Epinmi and Kukuru hills.

(7) Some peaks are over 1000m, e.g. Idanre hills, Illesha hills, etc.

(ii) Economic activities

(1) Commercial activities.

(2) Tourism. (3) Lumbering (4) Quarrying.

(5) Industrial activities, e.g. textile, tobacco, rubber processing, etc.

(6) Local craft industries, e.g. tie and dye, basket weaving.

(7) Livestock rearing in the northern part due to the presence of grasslands.

(8) Mining, e.g. marble at Igbetti and gold at Ilesa.

(9) Farming of food crops, e.g. yam, cassava, etc.

(10) Farming of cash crops, e.g. cocoa, oil palm cola nut, etc.

(iii) Problems of development:

(1) High population with poor physical planning.

(2) Hilly relief constitutes problem to construction of buildings in some places.

(3) Soil erosion. (4) Land tenure system.

(5) Environmental pollution.

(6) Flooding along river valleys in urban areas. (7) Infertile, leached lateritic soils.

(8) High rural — urban migration leading to low labour force.

Correct Answer: B. \(\frac{2}{5}\)

Explanation

Let x represent the entire farmland

then, \(\frac{2}{5}\)x + \(\frac{1}{3}\)[x - \(\frac{2}{3}x\)] + M = x

Where M represents the part of the farmland used for growing maize, continuing

\(\frac{2}{5}\)x + \(\frac{1}{3}\)x [1 - \(\frac{2}{3}x\)] + M = x

\(\frac{2}{5}x + \frac{1}{3}\)x [\(\frac{3}{5}\)] + M = x

\(\frac{2}{5}\)x + \(\frac{1x}{5}\) + M = x

\(\frac{3x}{5} + M = x\)

M = x - \(\frac{2}{5}\)x

= x[1 - \(\frac{3}{5}\)]

= x[\(\frac{2}{5}\)] = \(\frac{2x}{5}\)

Hence the part of the land used for growing maize is

\(\frac{2}{5}\)

Correct Answer: C. 250N

Explanation

M =0.1kg; F=\(m\left(\frac{v-u}{t}\right) = 0.1\left(\frac{15-(-10)}{0.01}\right)\) F=250N

Correct Answer: B. a political organization

Correct Answer: D. \(x: x \in R\)

Explanation

The domain of a function refers to the regions where the function is defined or has a value on a particular region.

\(\frac{4x^{2} - 1}{\sqrt{9x^{2} + 1}}\) has a domain defined on all set of real numbers because the function is defined on the set of real numbers when the denominator \(\sqrt{9x^{2} + 1} \geq 0\).

\(\sqrt{9x^{2} + 1} \geq 0 \implies 9x^{2} + 1 \geq 0\) which because of the square sign has a value for all values of x, be it negative or positive.

Correct Answer: C. federal