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ratelena [41]
3 years ago
6

A freshly-planted sapling is braced by 3 cables attached to a collar secured to the sapling 8 feet up the trunk. each cable is s

taked into the ground 3 feet from the sapling's trunk. if fastening a cable to the collar uses 8 inches of cable and fastening it to its stake also uses 8 inches of cable, about how much cable has been used
Mathematics
1 answer:
blagie [28]3 years ago
3 0
The slant length of each cable can be calculated using Pythagoras Theorem,
L= √ (8^2+3^2)
= √ (64+9)
= √ (73)
Total length of each cable
T = L + 8/12 + 8/12
= √ (73) + 4/3 
Total length of cables required
= 3T 
= 3 ( √ 73 + 4/3)
=( 3 √ 73 + 4 ) feet
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Answer: Mark has 28 marbles while Don has 85 marbles.

Step-by-step explanation:

Let x represent the number of marbles that Mark has.

Let y represent the number of marbles that Don has.

If Don has 1 more than 3 times the number of marbles Mark has, it means that

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The total number of marbles is 113. It means that

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Substituting y = 3x + 1 into equation 1, it becomes

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3 years ago
The sum of two consecutive even numbers is 210.
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Step-by-step explanation:

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A consecutive number is a number that comes after the other.

Let the first even integer be x. Since there is an even integer for every two integers, the second number should be x + 2.

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