Given that sin x = 3/5, 0 ≤ x ≤ 90, evaluate (tanx + 2cosx)
2\(\frac{11}{20}\)
\(\frac{11}{20}\)
2\(\frac{7}{20}\)
\(\frac{1}{20}\)
Correct answer is B
Sin x = \(\frac{opp}{hyp}\)
sinx = \(\frac{3}{5}\)
using Pythagoras' theorem
hyp\(^2\) = opp\(^2\) + adj\(^2\)
adj\(^2\) = 5\(^2\) - 3\(^2\) = 25 - 9
adj\(^2\) = 16
adj = √ 16
adj = 4.
tanx = \(\frac{opp}{adj}\)
= \(\frac{3}{4}\)
cosx = \(\frac{adj}{hyp}\)
= \(\frac{4}{5}\)
(tanx + 2cosx) = \(\frac{3}{4}\) + 2(\(\frac{4}{5}\))
= \(\frac{15 + 32}{20}\)
= \(\frac{47}{20}\) or
2 \(\frac{7}{20}\)
341.98cm\(^2\)
276.57cm\(^2\)
201.14cm\(^2\)
477.71cm\(^2\)
Correct answer is A
Where l\(^2\) = h\(^2\) + r\(^2\)
l\(^2\) = 11\(^2\) + 8\(^2\)
l = √185
l = 13.60cm
The formula of CSA of Cone is πrl
\(\frac{22}{7}\) * 8 * 13.60
= 341.979 or 341.98 (2d.p)
When a high court declares and action of the executive ultra-vires, it means that
the executive has to reconsider the action
such an action should never be brought up again
only the legislature can deal with such an action
the action is illegal and of no effect
a vote of no confidence has been passed on the executive by the judiciary
Correct answer is D
No explanation has been provided for this answer.
In the diagram, PQRS is a circle. find the value of x.
50°
30°
80°
100°
Correct answer is A
Opp. angles in a cyclic quadrilateral always add up to 180°
∠P + ∠R & ∠Q + ∠S = 180
x + x+y = 180
2x + y = 180... i
2y - 30 + x = 180
2y + x = 180 + 30
x + 2y = 210 ... ii
Elimination method:
(2x + y = 180) * 1 --> 2x + y = 180
(x + 2y = 210) * 2 --> 2x + 4y = 420
Subtracting both equations
- 3y = - 240
y = 80°
using eqn i
2x + y = 180
2x + 80 = 180
2x = 100
x = 50°
Which of the following is a characteristic of democracy
There is absolute freedom of movement
Courts can sue and be sued
the majority have their way
all citizens vote and voted for
the police can arrest only with a warrant
Correct answer is C
No explanation has been provided for this answer.
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