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qwelly [4]
3 years ago
13

A triangle has side lengths measuring 20 cm, 5 cm, and n cm. Which describes the possible values of n? 5 < n < 15 5 < n

< 20 15 < n < 20 15 < n < 25 How far would Pete walk if he went from A to B to C? yards The direct distance from A to C is more than yards. The inequality w < represents the distance, w, that Pete might save by taking the direct path.
Mathematics
1 answer:
Nata [24]3 years ago
8 0

Answer:

15 < n < 25

Step-by-step explanation:

Given

Side\ 1 = 20cm

Side\ 2 = 5cm

Side\ 3 = n

Required

Determine n using inequality

The three sides of the triangle must satisfy two of  the following conditions

Side\ 1 + Side\ 2 > Side\ 3

Side\ 1 + Side\ 3 > Side\ 2

Side\ 2 + Side\ 3 > Side\ 1

Substitute values in the above inequalities;

20 + 5 > n

20 + n > 5

5 + n > 20

Solve each of the inequalities

20 + 5 > n

25 > n

n < 25

20 + n > 5

n > 5 - 20

n > -15

5 + n > 20

n > 20 -5

n>15

Since, the second inequality has negative, we simply ignore it

So, we combine the first and the third:

n>15 and n < 25

15 < n and n < 25

Combine both

15 < n < 25

<em>The second question is not clear and it is unanswerable</em>

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What is the unit rate $1.29 for 15oz to nearest tenth
Nina [5.8K]

Answer:

The unit price of an item is the cost for each unit.

The unit price may be calculated for several reasons.

It will allow an easy comparison of the cost of the same quantity of items that come in different sizes.

For example, Company A sells peaches in a can. Their can holds 16 oz of peaches at a price of $1.60. Company B also sells peaches in a can, but their can holds 10 oz of peaches at a price of $1.10. At first glance, Company B looks like they might have cheaper peaches because of the lower overall price, but when you calculate the unit price, you get a more accurate way to compare.

For Company A, $1.60 ÷ 16oz = $0.10 per ounce.

For Company B, $1.10 ÷ 10oz = $0.11 per ounce.

The peaches are measured with ounces as the unit, so now that we have unit prices, we can definitely tell that Company A is the better deal, if you like peaches!

Unit price can also be helpful to find the cost of a single item when many items are purchased together. This may be required if the items are going to be divided up and resold. It could also be useful if several people will pay together with each person paying their fair share of the cost based on how many items they receive.

Step-by-step explanation:

5 0
3 years ago
Help!!! Picture Attached for the question
sweet [91]
Hi!

Let's find the volume of the cylinder first. 
The equation to find the volume of a cylinder is
(r = radius, h = height)
v = πr²h

Fill in the values
v = π · 100² · 250
Solve
v = π · 10000 · 250
v =  π · 2500000
v = 7853981.63

Now since the cylinder is half-full, divide by 2. 
7853981.63/2 = 3926990.81

To find how many liters are in the container, divide
1 liter = 1000
3926990.81/1000 = 3926.99081
Round to the nearest liter
3927

There are 3927 liters in the cylindrical tank

Hope this helps! :)
3 0
3 years ago
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