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ELEN [110]
3 years ago
8

How far above ground is the flag pole in inches? Round to nearest inch if needed

Mathematics
1 answer:
VikaD [51]3 years ago
4 0

Answer:

Step-by-step explanation:

You'll use similar triangles to solve this. Set up 2 ratios as a proportion. First, however, you have to convert the 15 inches to feet. If everything else is in feet, then EVERYTHING has to be in feet. 15 inches is equal to 1.25 feet. Now for the equation:

\frac{3}{x} =\frac{1.25}{6}

The first fraction is made up of the heights, 3 being the height of the plumb bob and x being our unknown height of the flagpole; the second fraction is made up of the distances on the ground. Cross multiply to solve:

1.25x = 18 so

x = 14.4 feet, or 14 feet, 4.8 inches

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Answer:

2,023

Step-by-step explanation:

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How many ways are there for Alice, Bob, Charlie, David and Eve to line up from left to right, such that Charlie is somewhere to
steposvetlana [31]

Answer:

120 ways

Step-by-step explanation:

Alice, Bob, David, Charlie,   Eve

David, Alice, Bob,  Charlie,   Eve

Alice,David, Bob,  Charlie,   Eve

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Charlie,   Eve ,Alice, Bob, David,

Charlie,   Eve ,David, Alice, Bob,

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This is a permutation question as the order of placing Charlie to the left of Eve is important.

So the total number of people n= 5 and the possible order is 4 keeping Charlie left of Eve. Eve cannot have the last position to keep Charlie on the left.

Using the formula of nPr = n!/ (n-r)! we get

5! / (5-4)! = 120 ways in which Charlie can be placed to the left of Eve.

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