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In the diagram, PQR is a circle with center O. If ∠OPQ = 48°, find the value of M.
In the diagram, \(\overline{PU}\)/\(\overline{SR}\), \(\overline{PS}\)/\(\overline{TR}\), \(\overline{QS}\)/\(\overline{UR}\), \(\overline{UR}\) = 15cm, \(\overline{SR}\) = 8 cm, \(\overline{PS}\) = 10 cm and area of △SUR = 24 cm\(^2\). Calculate the area of PTRS.
The length of an arc of a circle of radius 3.5 cm is 1\(\frac{19}{36}\) cm. Calculate, correct to the nearest degree , the angle substended by the centre of the circle. [Take \(\pi = \frac{22}{7}\)]
In the diagram, \(\overline{MN}\)//\(\overline{PQ}\), < MNP = 2x, and < NPQ = (3x - 50)°. Find the value of < NPQ
Each interior angle of a regular polygon is 168\(^o\). Find the number of sides of the polygon
The dimension of a rectangular base of a right pyramid is 9 cm by 5cm. If the volume of the pyramid is 105 cm\(^3\), how high is the pyramid?
If tan y is positive and sin y is negative, in which quadrant would y lie?
Fati buys milk at ₦x per tin sells each at a profit of ₦y. If she sells 10 tins of milk, how much does she receives from the sales?
A fence 2.4 m tall, is 10m away from a tree of height 16m. Calculate the angle of elevation of the top of the tree from the top of the fence.
In the diagram, XYZ is an equilateral triangle of side 6cm and Y is the midpoint of \(\overline{XY}\). Find tan (< XZT)
Simplify; \(\frac{a}{b} - \frac{b}{a} - \frac{c}{b}\)
A man is five times as old as his son. In four years' time, the product of their ages would be 340. If the son's age is y, express the product of their ages in terms of y.
The expression \(\frac{5x + 3}{6x (x + 1)}\) will be undefined when x equals
Find the equation of the line parallel to 2y = 3(x - 2) and passes through the point (2, 3)
In the diagram, PQ // SR. Find the value of x
A solid cuboid has a length of 7 cm, a width of 5 cm, and a height of 4 cm. Calculate its total surface area.
Two buses start from the same station at 9.00am and travel in opposite directions along the same straight road. The first bus travel at a speed of 72 km/h and the second at 48 km/h. At what time will they be 240km apart?
Given that x is directly proportional to y and inversely proportional to Z, x = 15 when y = 10 and Z = 4, find the equation connecting x, y and z
Find the quadratic equation whose roots are \(\frac{1}{2}\) and -\(\frac{1}{3}\)
Make m the subject of the relation k = \(\sqrt{\frac{m - y}{m + 1}}\)