The area of a sector of a circle with radius 7cm is 51.3 cm\(^2\). Calculate, correct to the nearest whole number, the angle of the sector. (Take \(\pi\) = \(\frac{22}{7}\))
See more
2024
A die is tossed once. Find the probability of getting a prime number.
See more
2024
Two opposite sides of a rectangle are (5x + 3) m and (2x + 9) m. If an adjacent side is (6x - 7) m, find in m\(^2\), the area of the rectangle.
See more
2024
The following are the masses (in kg) of members in a club: 59, 44, 53, 49, 57, 40, 48, and 50. Calculate the variance of the distribution.
See more
2024
The following are the masses (in kg) of members in a club: 59, 44, 53, 49, 57, 40, 48, and 50. Calculate the mean mass.
See more
2024
Find the value of x in the diagram above.
See more
2024
Four of the angles of a hexagon sum up to 420º. If the remaining angles are equal, find the value of each of the angles.
See more
2024
The perimeter of a rectangular garden is 90 m. If the width is 7 m less than the length, find the length of the garden.
See more
2024
In the diagram above, \(\overline{PQ}\) || \(\overline{RS}\), \(\angle\)WYZ = 44º and \(\angle\)WXY = 50º. Find \(\angle\)WTX
See more
2024
The gradient of the line joining the points P(2, -8) and Q(1, y) is -4. Find the value of y
See more
2024
Find, correct to the nearest whole number, the value of h in the diagram above.
See more
2024
A cone and a cylinder are of equal volume. The base radius of the cone is twice the radius of the cylinder. What is the ratio of the height of the cylinder to that of the cone?
See more
2024
In the diagram above, JKL is a tangent to the circle GHIK at K.
See more
2024
In the diagram above, < SQR = 52º and < PRT = 16º. Find the value of the angle marked y
See more
2024
For what values of x is \(\frac{x - 3}{4}\) + \(\frac{x + 1}{8}\) \(\geq\) 2 ?
See more
2024
Factorize completely: 27x\(^2\) - 48y\(^2\)
See more
2024
The number 1621 was subtracted from 6244 in base x. If the result was 4323, find x.
See more
2024
The length and breadth of a cuboid are 15 cm and 8 cm respectively. If the volume of the cuboid is 1560 cm\(^3\), calculate the total surface area.
See more
2024
Given that P is 25 m on a bearing of 330º from Q, how far south of P is Q?
See more
2024
A car valued at $ 600,000.00 depreciates by 10% each year. What will be the value of the car at the end of two years?