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Ilia_Sergeevich [38]
3 years ago
6

Which of the following sets of numbers could not represent the three sides of a triangle?

Mathematics
2 answers:
maw [93]3 years ago
7 0

Answer:

It would be {10, 16, 27}, {12, 27, 39}, {8, 22, 31} that DO NOT represent 3 sides of a triangle

Step-by-step explanation:

Since the only answer where the first 2 numbers is greater than the 3rd/last number is {14, 28, 39} (which makes it the only traingle), the others would ALL NOT be triangles.

earnstyle [38]3 years ago
4 0

Answer:

Options A, D

Step-by-step explanation:

The way that we will be checking if these 3 numbers can represent a triangle is by checking if a + b ≥ c.  That means that the first two sides have to be greater than or equal to the third side.

<u>Step 1:  Determine if Option A is a triangle</u>

10 + 16 = 26    <-    26 is less than 27 that means that it cannot form a triangle.

<u>Step 2:  Determine if Option B is a triangle</u>

14 + 28 = 42    <-    42 is greater than 39 which means that these three numbers can form a triangle.

<u>Step 3:  Determine if Option C is a triangle</u>

12 + 27 = 39    <-    39 is equal to 39 which means that these three numbers can form a right triangle.

<u>Step 4:  Determine if Option D is a triangle</u>

8 + 22 = 30    <-    30 is less than 31 meaning that these three numbers can't form a triangle.

Answer: Options A, D

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A 429 g piece of cheese costs $9.50. What will be the cost for 1.42 kg of this cheese?
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The cost for 1.42 kg of this cheese will be $ 31.44 .

<h3>What does unit conversion entail?</h3>

The process of translating measurements of a given quantity between different units, frequently using multiplicative conversion factors that change the value of the measured quantity without changing its effects, is known as unit conversion. The specific circumstances and the desired result dictate the conversion process. This may be governed by a regulation, contract, set of technical requirements, or other publicly available standards.

<h3>Why is the unitary technique used? What is it?</h3>

In its simplest form, the unitary procedure is used to determine the value of a single unit from a given multiple.

How to calculate the value of one pen, for example, if 40 cost Rs. 400. To finish it, using the unitary method. Additionally, after the value of a single unit has been established, we can multiply that value by the quantity of additional units required to establish the value of the additional units. This is typically how the concepts of ratio and proportion are used. The unitary method entails calculating the value of a single unit before calculating the value of the required number of units.

Given that 0.429 kg of cheese cost $9.50

As a result, the price of 1 kg of cheese is $9.50/0.429, which is $ 22.14.

As a result, 1.42 kg of cheese will cost you $22.14 * 1.42 = $31.44.

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