A sales girl gave a change of N1.15 to a customer instead of N1.25. Calculate her percentage error
10%
7%
8.0%
2.4%
10%
Correct answer is C
Error = 1.25 - 1.15 = 0.10
0.10/1.25
* 100 = 8.0%
Find the quadratic equation whose roots are x = -2 or x = 7
x2 + 2x - 7 = 0
x2 - 2x + 7 = 0
x2 + 5 +14 = 0
x2 - 5x - 14 = 0
x2 + 5x - 14 = 0
Correct answer is D
x + 2 and x - 7 are factors
(x+2)(x+7) = 0
x(x-7) + 2(x-7) = 0
x2 - 7x + 2x - 14 = 0
x2 - 5x - 14 = 0
x = 1
x = -1
y = 1
y = -1
x + y = 1
Correct answer is C
The linear equation will be the difference between the equation.
y=x2 + 4x - 6 and x2 + 4x - 7 = 0
y=x2 + 4x - 6, ( 0 = x2 + 4x - 7)
y = -(-1) y = 1
If sinθ = 3/5 find tanθ for 0 < θ < 90o
4\5
3\4
5\8
1\2
3\8
Correct answer is B
sinθ = 3/5
tanθ = 3/4
16o
17o
73o
106o
164o
Correct answer is E
Using pythagoras' theorem:
Hyp\(^2\) = Adj\(^2\) + Opp\(^2\) → 24\(^2\) + 7\(^2\)
Hyp = √625 → 25
\(\tan P = \frac{7}{24}\)
\(\tan P = 0.2917\)
\(P = \tan^{-1} (0.2917)\)
= 16.26°
Bearing of Q from P = 180° - 16.26°
= 163.74° \(\approxeq\) 164°