(a)
Given that PX = kPN and QX = rQM, where k and r are scalars:
(i)
write two different expressions for OX in terms of p, q, k and r;
(2 marks)
(ii)
find the values of k and r;
(4 marks)
(iii)
determine the ratio in which X divides line MQ.
(2 marks)
20.
16. In the figure below, VABCD is a right pyramid on a rectangular base. Point O is vertically
below the vertex V AB = 24cm, BC= 10cm and CV = 26cm.
Calculate the angle between the edge CV and the base ABCD.
(3 marks)
SECTION II (50 marks)
Answer only fiv
(a) After staying at town U for 30 minutes, the tourist took a second aircraft to town
V(9N, 5E). The average speed of the second aircraft was 90% that of the first
aircraft.
Determine the time, to the nearest minute, the aircraft took to travel from U to
(i)
triangle ABC such that AB = 9 cm, AC= 7 cm and angle CAB = 60;
(2 marks)
(ii) the locus of a point P such that P is equidistant from A and B;
(1 mark)
(iii) the locus of apoint Q such that CQ < 3.5cm.
(a)
(1 mark)
On the diagram in part (a):
(i) shade
Foam Rolling- Applying the Technique of Self-myofascial Release
By Stacey Penney, MS, NASM-CPT, CES, PES, FNS
Foam rolling is a self-myofascial release (SMR) stretching technique that has been embraced throughout the fitness
industry. This effective and s