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Without using tables, find the value of \(\frac{\sin 20°}{\cos 70°} + \frac{\cos 25°}{\sin 65°}\)
Which of the following angles is an exterior angle of a regular polygon?
In the diagram above, the value of angles b + c is
If log\(_{10}\) x = \(\bar{2}.3675\) and log\(_{10}\) y = \(\bar{2}.9738\), what is the value of x + y, correct lo three significant figures?
In the diagram above, PQ is parallel to TU, ∠PQR = 50°, ∠QRS = 86° and ∠STU = 64°. Calculate the value of x.
In the diagram above, AO is perpendicular to OB. Find x
In the diagram above; O is the centre of the circle and |BD| = |DC|. If ∠DCB = 35°, find ∠BAO.
The angle of a sector of a circle is 108°. If the radius of the circle is 3\(\frac{1}{2}\)cm, find the perimeter of the sector
A 120° sector of a circle of radius 21cm is bent to form a cone. What is the base radius of the cone?
The positions of two countries P and Q are (15°N, 12°E) and (65°N, 12°E) respectively. What is the difference in latitude?
The diagram above shows a cone with the dimensions of its frustrum indicated. Calculate the height of the cone.
A hollow sphere has a volume of kcm3 and a surface area of kcm2. Calculate the diameter of the sphere.
Find the total surface area of solid circular cone with base radius 3cm and slant height 4cm. [Take π = 22/7]
A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]
What is the volume of the container?
A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]
Find the total surface area of the container
A water tank of height \(\frac{1}{2}\) m has a square base of side \(1\frac{1}{2}\) m. lf it is filled with water from a water tanker holding 1500 litres, how many litres of water are left in the water tanker? [1000 litres = 1m\(^3\)]