Kiff

Given that OA = 2i + 3j and OB = 3i - 2j. Find the magnitude of AB

A minor arc of a circle subtends an angle of 105 degree at the center of the circle. If the radius of the circle is 8.4 cm, find the length of the major arc. 22/7

The gradient of the tangent to curve y = ax^3 + bx at the point (1,1) is -5. Calculate the values of a and b. dy/dx = 3a^2 + b -5 =

A small cone of height 8 cm is cut off from a bigger cone to leave a frustum of height 16 cm. If the volume of the smaller cone is 260 cm^3, find the volume of the frustum.

Points L and M are equidistant from another K. The bearing of L from K is 330 degree. The bearing of M from K is 220 degree. Calculate the bearing of M from L.

9^2y * 2^x = 72, find the value of x and y.

The equation of a curve is y = 2x^3 + 3x^2 Find: x-intercept of the curve y-intercept of the curve b) Determine the stationery point of the curve. i) for each point in(b) above, determine whether it is a maximum or a minimum

The external length, width and height of an own rectangular container are 41 cm, 21 cm and 15.5 cm respectively. The thickness of the materials making the container is 5 mm. If the container has 8 litres of water, calculate the internal height above the a...

What is the next number in the pattern 3, 10, 5, 12, 7, 14, 9, 16, ...?

A businessman borrowed sh 40000 from a lending institution at a simple interest rate of 2 1/2 % per month. How much did he pay back at the end of one year?

A vendor. Sold 2/5 of fruits to motorists and 1/4 to students. He also sold 3/7 of the remaining fruits to others. If the vendor was left with 168 fruits, how many fruits were sold to students?

A watch loses 30 second hour. If the watch was set right on Sunday at 11:30 p.m. What day and time did it show after 10 hours? 10 * 30 = 300 5 min

Monday = 9: 25 a.m.