Correct Answer: C) Oxides of sulphur

Explanation

(a) \(\frac{x^{2} - y^{2}}{3x + 3y}\)

\(\frac{(x + y)(x - y)}{3(x + y)}\) (Using difference of two squares)

= \(\frac{x - y}{3}\)

(b)(i)

\(\sin 37 = \frac{/PS/}{15}\)

\(/PS/ = 15 \times 0.6018\)

= \(9.03 cm\)

(ii) \(\cos 37 = \frac{/SK/}{15}\)

\(/SK/ = 15 \times 0.7986\)

= \(11.98 cm \)

\(\approxeq 12.0 cm\)

(iii) Area of the shaded portion = Area of rectangle PQRS - Area of triangle PSK.

/SR/ = 2(/SK/) = 2(11.98)

= 23.96 cm

Area of rectangle PQRS = \(23.96 \times 9.03 \)

= \(216.3588 cm^{2}\)

Area of triangle PKS = \(\frac{1}{2} \times 11.98 \times 9.03\)

= \(54.088 cm^{2}\)

Area of shaded portion : \((216.3588 - 54.088)cm^{2}\)

\(162.2708 cm^{2}\)

\(\approxeq 162 cm^{2}\)

Correct Answer: A. explicit cost

Explanation

Explicit costs are direct payments incurred by a firm in the course of running a business. These are costs actual and physical costs incurred by a firm. Examples of explicit costs include wages, lease payments, utilities, raw materials, and other direct costs.

Correct Answer: A. control incoming diseases and pests

Correct Answer: D. do not deal in foreign currencies

Explanation

Commercial bank is the bank organized to perform public utility banking services such as accepting deposits, lending of money etc. On the other hand, development bank refers to a multi-purpose financial undertaking set up to provide financial aid to the industrial and agricultural sector, to encourage development. The difference is that raise funds from accepting deposit from the public while development banks borrow, grants and sells securities

Explanation

(a) \(6y + 5x = -12 ... (1)\)

\(4y - 3x = 11 ... (2)\)

Multiply (1) by 2 and (2) by 3,

\(12y + 10x = -24 ... (1a)\)

\(12y - 9x = 33 ... (2a)\)

\((1a) - (2a) : 19x = -57 \implies x = -3\)

\(4y - 3(-3) = 11 \implies 4y + 9 = 11\)

\(4y = 2 \implies y = \frac{1}{2}\)

(b)

\(/BC/^{2} = 36^{2} + 48^{2}\)

\(/BC/^{2} = 1296 + 2304 = 3600\)

\(/BC/ = \sqrt{3600} = 60 cm\)

\(/AC/^{2} = /BC/^{2} + /AB/^{2}\)

\((y + 48)^{2} = 60^{2} + 36^{2} + y^{2}\)

\(y^{2} + 96y + 2304 = 3600 + 1296 + y^{2}\)

\(96y = 3600 + 1296 - 2304 = 2592\)

\(96y = 2592 \implies y = \frac{2592}{96} = 27 cm\)

Correct Answer: D. Distributing

Correct Answer: B. buoyant economically

Correct Answer: C. The community banking scheme

Explanation

b.-It has tall trees with buttress and evergreen

-presence of little undergrowth due to canopies

-plant species are not in pure stand

-it has numerous heterogenous species e.g Mahogamy, Iroko

c.-it provide tropical hard wood like Iroko

-Lumbering of these trees provide employment

-Forest provide wood as source of fuel

-Farming activities especially the cultivation of tree crops

-It also provide medicinal herbs