What angle represents grown up girls ? Correct to one decimal place
37.5o
26.7o
25.7o
20o
3.75o
Correct answer is B
Total population = 1400 + 550 + 200 + 150 + 400 = 2700
grown up girls = 200
= \(\frac {200}{2700}\) x \(\frac {360}{1}\)
=80/3 = 26.7°
Solve the following equation: 6x\(^2\) - 7x - 5 = 0
x = 1/2 or x = -21/2
x = 1/3 or x = 21/2
x = 1 2/3 or x = -1/2
x = 12/3 or x = 1/2
x = 5/6 or x = -1
Correct answer is C
6x\(^2\) - 7x - 5 = 0
6x\(^2\) - 10x + 3x - 5 = 0
2x(3x - 5) + 1(3x - 5) = 0
(2x + 1)(3x - 5) = 0
x = \(\frac{5}{3}\) or x = \(-\frac{1}{2}\)
126.5cm2
165cm2
176cm2
214.5cm2
253.5cm2
Correct answer is D
since it is an open cylinder; r= 3.5cm = 7/2cm
h= 8cm;
S.A = 2πrh + πr 2
= πr(2h + r)
(16 + 3.5); 11 x 19.5 = 214.5cm2
3cm
4cm
5cm
8cm
15cm
Correct answer is D
In \(\Delta DOB\), let < DOB = \(\alpha\)
In \(\Delta DOB\), \(5^2 = 3^2 + s^2\)
\(s^2 = 25 - 9 = 16\)
\(s = 4cm\)
\(\sin \alpha = \frac{4}{5}\)
\(\alpha = \frac{< AOB}{2}\)
Length of chord = \(2r \sin (\frac{\theta}{2})\)
|OB| = r = 5cm
L = \(2(5)(\frac{4}{5})\)
= 8 cm
024o
114o
156o
204o
336o
Correct answer is C
tan\(\theta\) = 9/20 = 0.45
\(\theta\) = tan\(^{-1}\) 0.45 = 24.2°
the bearing of y from x = 180 0 - 0 = 180° - 24.2°
the bearing = 155.8°
\(\approxeq\) 156°
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