Answer:
Step-by-step explanation:
Given
The given system is 
can be represented by
The given system is consistent when determinant of A is not equal to zero
i.e. system is consistent for all value of k except 
Answer:
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2x/3-6=4. 2x/3=4+6. 2x/3=10. 2x=10*3. 2x=30. X=30/2. x=15.
(i) Given radius r = 15 cm ∴ diameter d = 2 x 15 = 30 cm Circumference C = πd units = 227227 x 30 = 66076607 = 94.28 cm (ii) Given circumference C = 1760 cm 2πr = 1760 2 x 227227 x r = 1760 r = 1760×72×221760×72×22 = 160×72×2160×72×2 = 40 x 7 = 280 cm Diameter = 2 x r = 2 x 280 = 560 cm (iii) diameter d = 24m radius r = d2d2 = 242242 = 12 m Circumference C = 2 πr units = 2 x 227227 x 12 = 52875287 = 75.4 m Tabulating the results S. No. radius (r) diameter (d) circumference (C) (i) 15 cm 30 cm 94.28 cm (ii) 280 cm 560 cm 1760 cm (iii) 12 m 24
a bit messy sorry for that
H^2=x^2+y^2
y^2=h^2-x^2
y^2=40^2-24^2
y^2=1024
y=√1024
y=32 ft
