26 OACB is a trapezium A
3b
с
2a
Diagram NOT
accurately drawn
DO NOT WRITE IN THIS AREA
Sb
B
OA = 2a
OB = 5b AČ = 3b
The diagonals, OC and AB, of the trapezium intersect at the point P.
Find and simplify an expression, in terms of a and b, for OP
Show your working clearly,

Submarines control how much they float or sink in the ocean by changing the volume of air and water contained in large ballast tanks. when the tanks are completely full of water, the submarine increases its overall mass and sinks down to the bottom. when the tanks are completely full of air, the submarine reduces its overall mass and floats to the surface. depending on the density of the seawater surrounding the submarine, it will pump seawater in or out of the tanks in order to achieve the same overall density as the sea water and float neutrally in the water. the volume of the submarine never changes. when the tanks are completely full of water, a submarine with a volume of 7.8\times10^3\text{ m}^37.8×10 3 m 3 7, point, 8, times, 10, start superscript, 3, end superscript, space, m, start superscript, 3, end superscript has a total mass of 8\times10^6\text{ kg}8×10 6 kg8, times, 10, start superscript, 6, end superscript, space, k, g. the density of the seawater is 10^3\text{ kg/m}^310 3 kg/m 3 10, start superscript, 3, end superscript, space, k, g, slash, m, start superscript, 3, end superscript. to make that submarine float neutrally, and neither float nor sink in the ocean, what volume of water does that submarine need to subtract from its tanks?

With this problem-elena cycled to school. find the distance travelled by elena if her bicycle wheels rotated 840 times and the radius is 0.25 m.

Enter your answer and show all the steps that you use to solve this problem in the space provided. write a list of steps that are needed to find the measure of ? b .