Calculate, correct to three significant figures, the length AB in the diagram above.
36.4 cm
36.1 cm
36.2 cm
36.3 cm
Correct answer is C
\(\frac {\sin A}{a} = \frac {\sin B}{b} = \frac {\sin C}{c}\)
\(\implies \frac {\sin 82^0}{43.2} = \frac {\sin 56^0}{AB}\)
\(\implies AB \times \sin 82^0 = 43.2 \times \sin 56^0\)
\(\therefore AB = \frac {43.2 \times \sin 56^0}{\sin 82^0}\) = 36.2cm (to 3 s.f)
24 m
32\(\sqrt3\) m
24\(\sqrt3\)
32 m
Correct answer is D
The height of the second building H = h + 24
tan θ = \(\frac {opp}{adj}\)
tan 30\(^o = \frac {h}{x}\)
\(\implies\frac{\sqrt 3}{3} = \frac {h}{x}\)
\(\implies x = \sqrt 3 = 3h\)
\(\implies x = \frac {3h}{\sqrt 3}\) ....(i)
tan 60\(^o = \frac {24}{x}\)
\(\implies\sqrt 3 = \frac {24}{x}\)
\(\implies x\sqrt 3 = 24\)
\(\implies x = \frac {24}{\sqrt 3}\) ....(ii)
Equate equation (i) and (ii)
\(\implies \frac {3h}{\sqrt 3} = \frac {24}{\sqrt 3}\)
\(\implies\) 3h = 24
\(\implies h = \frac {24}{3}\) = 8m
∴The height of the second building = 8 + 24 = 32m
Two numbers are respectively 35% and 80% more than a third number. The ratio of the two numbers is
7 : 16
3 : 4
16 : 7
4 : 3
Correct answer is B
Let the third number = \(x\)
Then the first number = 100% \(x + 35%x = 135\)%\(x = \frac {135x}{100} = 1.35x\) (Note: 100% \(x = x\))
The second number = 180% \(x = \frac {180x}{100} = 1.80x\)
∴ The ratio of the first number to the second number = \(1.35x : 1.80x = 3 : 4\)
The locus of a point equidistant from two intersecting lines is
where the sum of the distances of two focal points is fixed
the collection of points that are equally distant from a fixed point and a line
the perpendicular bisector of the lines
pair of bisectors of the angles between the two lines
Correct answer is C
The locus of a point equidistant from two intersecting lines is pair of bisectors of the angles between the two lines.
What is the general term of the sequence 3, 8, 13, 18, ...?
5n - 2
5n + 2
5
5n
Correct answer is A
Given the sequence 3, 8, 13, 18, ... which is an arithmetic sequence
a = 3
d = T\(_2\) - T\(_1\) = 8 - 3 = 5
The general term of an A.P is:
T\(_n\) = a + (n - 1)d
⇒ T\(_n\) = 3 + (n - 1)5
= T\(_n\) = 3 + 5n - 5
∴ T\(_n\) = 5n - 2
Indorama Eleme Fertilizer & Chemicals Limited (IEFCL) Graduate Engineer Internship Program 2024
Diploma Engineer Internship Program at Indorama Eleme Fertilizer & Chemicals Limited (IEFCL)
Admin Officer - Airline Industry at Ascentech Services Limited
Area Sales Manager at Airtel Nigeria
State Business Manager at Airtel Nigeria
Inventory Manager at a Reputable Agricultural Company
Supply Chain Officer at Kellogg's Tolaram Nigeria Limited (KTNL)
Warehouse Manager at Shulifang Biotechnology FZE
Capability Development & Execution Excellence Manager (Rivers) at Airtel Nigeria
Regional Security Manager - Northeast Region at Airtel Nigeria