Step-by-step answer:
Referring to the attached diagram, the resultant of two forces each with magnitude F and inclined to each other at 2a equals
Ra = 2Fcos(a) ..............................(1)
Similarly, the resultant of two forces each with magnitude F and inclined to each other at 2b equals
Rb = 2Fcos(b)..............................(2)
We are given that
Ra = 2Rb ....................................(3)
Substitute (1) & (2) in (3) gives
2Fcos(a) = 2(2Fcos(b))
Expand
2Fcos(a) = 4Fcos(b)
Simplify
cos(a) = 2 cos(b) QED
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Answer:
A'(2, 6 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply each of the coordinates by 
A(3, 9 ) → A'(
(3),
(9) ) → A'(2, 6 )
Answer:
20
Step-by-step explanation:
replace k with 13 then add so it should be 20