Correct Answer: A. edicts

Explanation

(a) 2x + 40 + 2y + 10 = 180°...(1)

2x + 2y = 130

x + y = 65º

5x - 35 = 2(2y+ 10) ... (2)

5x - 35 = 4y +20

5x - 4y = 55

5x - 4(5-x) = 55

5x - 260 + 4x =55

9x = 315

x = 35°

y= 65 - 35

y=30°

∠ABC + [2 x º35 + 40] + [5(35)-350)] + 40° =360º

∠ABC + 110 + 140°+ 40º = 360

∠ABC + 290° = 360°

∠ABC = 70°

Correct Answer: A. N20,461

Explanation

The balance as per bank statement is calculated by adding the balance as per cash book and the unpresented cheques then subtracting the uncredited cheques. Therefore, the balance as per bank statement is N5467 + N19404 - N4410 = N20,461. Unpresented cheques are cheques that have been issued by a company but have not yet cleared through the bank. Uncredited cheques are cheques that have been received by a company but have not yet cleared through the bank.

Explanation

(i) Elasticity is the ability of a material to regain its original shape or size after deformations. OR after removal of stress force, OR after it has been 1 compressed.

(ii) Young's Modulus is the ratio of tensile I or compressive stress to tensile or compressive strain

(iii) Force constant = the amount of force that causes a unit extension of an elastic material. OR

\(\frac{Force (F)}{ Extension(e)}\) of an elastic material.

Correct Answer: B) low melting points

Explanation

?PQR is an equilateral triangle and M is the midpoint of Line QR. Hence, PM is the radius of the circle likewise Line PA and Line PB

Using Pythagoras theorem to find Line PM :

\( 18^2 = PM^2 + 9^2\)

\( PM^2 = 324 - 81 = 243\)

PM = \(\sqrt{243} = 9\sqrt{3}\)

∠QPR = \(\frac{180^0}{3} = 60^0\) ( each ∠ of an equilateral ? are equal)

Area of ?,PQR = \(\frac{1}{2}absinθ\), but θ = 60°

= \(\frac{1}{2}\times18\times18sin60 = 81\sqrt{3} = 140.30 cm^2\)

Area of PAB = \(\frac{θ}{360} \times\pi r^2\)

= \(\frac{60}{360}\times \frac{22}{7} \times(9\sqrt{3})^2\)

= \(\frac{1}{6} \times \frac{22}{7} \times243\) = \(127.29cm^2\)

therefore, the Area of the shaded portion = area of ? PQR - area of sector PAB

= 140. 30 - 127.29 = \(13.01cm^2\) (to 2 d.p)

Correct Answer: A. Quill

Correct Answer: A. kept him under close observation

Correct Answer: C) tongue rolling

Explanation

This Biology question is asking about continuous variation and which of the options listed is not an example of it. Continuous variation is the variation of traits that show a range of values, such as height or weight. The question asks which one of the options is not an example of continuous variation. Out of the four options given, three are examples of continuous variation - height, weight, and skin colour. However, the correct answer is option C, which is tongue rolling. This is because tongue rolling is not a trait that shows a range of values. Instead, it is a trait that is either present or absent, meaning that it is a discrete variation. Discrete variation is the variation of traits that can only be grouped into certain categories, such as blood type or the ability to taste bitter substances. In contrast, continuous variation is the variation of traits that show a range of values, such as height or weight. To summarize, the answer to this Biology question is option C, tongue rolling, because it is not an example of continuous variation like the other options listed. Instead, it is an example of discrete variation.

Correct Answer: C. l,ll and lll only