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 → - \(\frac{12}{5}\) - \(\frac{12}{13}\)
= - \(\frac{216}{65}\)
10.5 years
19.0 years
35.4 years
264.0 years
423.5 years
Correct answer is B
No explanation has been provided for this answer.
55m
54m
50m
49m
45m
Correct answer is B
No explanation has been provided for this answer.
If the mean of 3, 5, 8, k, 14 and 17 is 11, what is the value of k
58
38
19
11
967
Correct answer is C
To calculate Mean: add up all the numbers ⇒ 3+5+8+k+14+17 = 47 + k then divide by how many numbers there are ⇒ 6 The Mean is already given as 11 11 = (47 + k) / 6 Cross multiply to solve for k : k = (6 X 11) - 47 k = 19