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Given that \(27^{(1+x)}=9,)\ find x
Given that x = -\(\frac{1}{2}\) and y = 4 evaluate 3x\(^2y+xy^2\)
In the diagram, POS and ROT are straight lines, OPQR is a parallelogram. |OS| = |OT| and ∠OST = 50°. Calculate ∠OPQ.
If the interior angles of hexagon are 107°, 2x°, 150°, 95°, (2x-15)° and 123°, find x.
Each side of a regular convex polygon subtends an angle of 30° at its center. Calculate each interior angle
In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ = 40°. Calculate ∠QSR.
Which of the following statement is not true about a rectangle? I.Each diagonal cuts the rectangle into two congruent triangles. II. A rectangle has four lines of symmetry III. The diagonals intersect at right angles
The probabilities that Kodjo and Adoga pass an examination are \(\frac{3}{4}\) and \(\frac{3}{5}\) respectively. Find the probability of both boys failing the examination
Calculate the standard deviation of the following marks; 2, 3, 6, 2, 5, 0, 4, 2
The bar chart shows the distribution of marks scored by a group of students in a test. Use the chart to answer the question below
How many students took the test?
The bar chart shows the distribution of marks scored by a group of students in a test. Use the chart to answer the question below
How many students scored 4 marks and above?
In the diagram, AB is a vertical pole and BC is horizontal. If |AC| = 10m and |BC| = 5m, calculate the angle of depression of C from A
Which of the following bearings is equivalent to S50°W?
A tree is 8km due south of a building. Kofi is standing 8km west of the tree. Find the bearing of Kofi from the building
A tree is 8km due south of a building. Kofi is standing 8km west of the tree. How far is Kofi from the building?
A man bought a television set on hire purchase for N25,000, out of which he paid N10,000, if he is allowed to pay the balance in eight equal installments, find the value of each installment.
A car moves at an average speed of 30kmh\(^{-1}\), how long does it take to cover 200 meters?
Given that the logarithm of a number is \(\bar{1}.8732\), find, correct to 2 significant figures the square root of the number.
Given that \(log_4 x = -3\), find x.
The ages of three men are in the ratio 3:4:5. If the difference between the ages of the oldest and youngest is 18 years, find the sum of the ages of the three men