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schepotkina [342]
3 years ago
13

A triangle has a side length of 11, and a side length of 17. The third side length is also a positive integer. How many differen

t possible values are there for the third side length? (Assume that the triangle is non-degenerate.)
Mathematics
2 answers:
damaskus [11]3 years ago
4 0

Answer:

21 different positive integers could be the length of the third side.

Step-by-step explanation:

By triangle inequality, the sum of two sides cannot be greater than the third.

This means that the third side is between (17-11)=6 and (17+11)=28.

How many integers are between there? You could write them out and count them!

Or!

The highest integer the third side can be is 27 and the lowest integer it can be is 7.

So 27-7+1=20+1=21.

Murljashka [212]3 years ago
3 0

It would be in between 28-6

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Step-by-step explanation:

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PilotLPTM [1.2K]

Answer:

[-4,0) ∪ [2, ∞)

Step-by-step explanation:

For piecewise function domain and range, we need to understand the difference between "(" and "["  or  ")" and "]"

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The upper part of the function shows the graph going from y = 2 towards infinity (arrow). At y = 2 , there is closed circle, so this part range would be

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[-4,0)

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[-4,0) ∪ [2, ∞)

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8 0
3 years ago
A water tank already contained 24 gallons of water before a pump was switched to fill it. The pump started at 10:00 am and by 10
grigory [225]

Answer:

The equation to represent  the amount of water that the tank contains (W) after the pump was working for T hours can be given as:

W=32T+24

Step-by-step explanation:

Given:

Water tank initially contained = 24 gallons of water

The pump to fill the tank was switched to fill it.

From 10:00 AM to 10:30 AM the tank contained 40 gallons of water.

By 1:00 PM the tank contained 120 gallons of water.

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Using unitary method:

If in \frac{1}{2} of an hour water filled = 16 gallons

So, in 1 hour the water filled will be = 16\times 2 = 32 gallons

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This shows that the rate at  which the pump fills the tank is 32 gallons of water per hour.

The equation to represent  the amount of water that the tank contains (W) after the pump was working for T hours can be given as:

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