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Nadusha1986 [10]
3 years ago
10

Which of the following sets of numbers could represent the three sides of a triangle?

Mathematics
1 answer:
inessss [21]3 years ago
4 0

Answer:

it could be all of them

Step-by-step explanation:

Because all of them have 3 measures of length

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In front of a store, there is a row of parking spaces. Cars park parallel to one another, with the front of each car facing the
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The width used for the car spaces are taken as a multiples of the width of

the compact car spaces.

Correct response:

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<h3 /><h3>Methods used to obtain the above response</h3>

Let <em>x</em><em> </em>represent the width of the cars parked compact, and let a·x represent the width of cars parked in full size spaces.

We have;

Initial space occupied = 10·x + 12·(a·x) = x·(10 + 12·a)

New space design = 16·x + 9×(a·x) = x·(16 + 9·a)

When the dimensions of the initial and new arrangement are equal, we have;

10 + 12·a = 16 + 9·a

12·a - 9·a = 16 - 10 = 6

3·a = 6

a = 6 ÷ 3 = 2

a = 2

Whereby the factor <em>a</em> < 2, such that the width of the full size space is less than twice the width of the compact spaces, by testing, we have;

10 + 12·a < 16 + 9·a

Which gives;

x·(10 + 12·a) < x·(16 + 9·a)

Therefore;

The initial total car park space is less than the space required for 16

compact spaces and 9 full size spaces, therefore; the store owners are

incorrect.

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