75
120
165
195
240
Correct answer is E
No explanation has been provided for this answer.
If n{A} = 6, n{B} = 5 and n{A ∩ B} = 2, find n{A ∪ B}
7
8
9
13
15
Correct answer is C
No explanation has been provided for this answer.
4.58 cm
8.02 cm
16.04 cm
32.08 cm
34 cm
Correct answer is A
No explanation has been provided for this answer.
Given that (3 - y) ÷ 2x = (6y + 7) ÷ (4x - 5), find the value of x when y = 2
\(\frac{64}{5}\)
6
\(\frac{5}{34}\)
\(\frac{-5}{34}\)
\(\frac{-64}{5}\)
Correct answer is D
No explanation has been provided for this answer.
If cos x = - \(\frac{5}{13}\) where 180° < X < 270°, what is the value of tan x -sin x ?
\(\frac{111}{13}\)
\(\frac{321}{65}\)
-\(\frac{216}{65}\)
\(\frac{112}{13}\)
\(\frac{131}{65}\)
Correct answer is C
Given cos x = - \(\frac{5}{13}\)
→ adj = -5, hyp = 13
Pythagoras' rule → hyp\(^2\) = Opp\(^2\) + adj\(^2\)
Opp\(^2\) = 13\(^2\) - [-5]\(^2\) → 169 - 25
Opp = √144 → 12
tan x = \(\frac{opp}{adj}\) → - \(\frac{12}{5}\)
sin x = \(\frac{opp}{hyp}\) → \(\frac{12}{13}\)
; tan x - sin x → - \(\frac{12}{5}\) - \(\frac{12}{13}\)
= - \(\frac{216}{65}\)