Answer:
5832 ways
Step-by-step explanation:
Since the circle has 8 sectors and there is 4 colour,
Assuming the sectors are numbered 1 to 8,
Sector 1 : can be coloured with any of the 4 colour in 4 ways
Sector 2 can be coloured with any of the remaining 3 colours in 3 ways
Sector 3 in 3 ways without using the colour in sector 2
Sector 4 in 3 ways without using the colour in sector 3
Sector 5 in 3 ways without using the colour in sector 4
Sector 6 in 3 ways without using the colour in sector 5
Sector 7 in 3 ways without using the colour in sector 6
Sector 8 in 2 ways without using the colours in sector 1 and 7
Number of ways of colouring = 4*3*3*3*3*3*3*2 = 5832 ways
ratio of the diagonal to the side of the rectangle is 17/8 or 17:8
Step-by-step explanation:
Length of Diagonal = 34 inches
Length of side = 16 inches
Base= 30 inches
We need to find the ratio of the diagonal to the side of the rectangle.
ratio of the diagonal to the side of the rectangle = 
Putting values:

So, ratio of the diagonal to the side of the rectangle is 17/8 or 17:8
Keywords: ratio
Learn more about ratio at:
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The answer is A. 6 and 10