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3 years ago

find the perimeter when 96 triangles are put together in the pattern shown below. Assume that all triangle sides are 1 cm long.

Mathematics

1 answer:

Vikentia [17]3 years ago

4 0

The perimeter when 96 triangles are put together in the pattern shown below will be 98cm

Find the required triangle attached

In the diagram shown, we can see that we have 5 triangles.

The first thing we need to do is add one more triangle to have, six triangles,

Perimeter of the resulting 6 triangles = 6 + 2 = 8cm

For 8 triangles;

Perimter = 8 + 2 = 10cm

For "n" triangles;

Perimeter of n triangles = n + 2

Hence if 96 triangles are put together in the pattern shown below, hence

n = 96

Perimeter of the 96 triangles = 96 + 2

Perimeter of the 96 triangles = 98 cm

Hence the perimeter when 96 triangles are put together in the pattern shown below will be 98cm

Learn more here: brainly.com/question/13362349

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Five years ago, the population of a city was 49,000. each year the zoning commission permits an increase of 580 in the populatio

Paladinen [302]

The maximum population be 5 year from now will be 54,800 given that five years ago, the population of a city was 49,000 and each year the zoning commission permits an increase of 580 in the population. This can be obtained using the formula of arithmetic progression.

<h3>What will the maximum population be 5 year from now?</h3>

Formula of arithmetic progression is given by,

⇒ aₙ = a + (n - 1)d

where aₙ = nth term, a = first term, d = common difference

Here in the question it is given that,

Five years ago, the population of a city was 49,000

Each year the zoning commission permits an increase of 580 in the population

We have to find out the maximum population in 5 year from now.

By using the formula of arithmetic progression we get,

aₙ = a + (n - 1)d,

here in the question,

a = 49,000,

n = five years ago + current year + five years from now ⇒ n = 5 + 1 + 5 ⇒ n = 11g

d = 580

Now we get,

⇒ aₙ = a + (n - 1)d

⇒ aₙ = 49000 + (11 - 1)580

⇒ aₙ = 49000 + (10)580

⇒ aₙ = 49000 + 5800

⇒ aₙ = 54,800

Hence the maximum population be 5 year from now will be 54,800 given that five years ago, the population of a city was 49,000 and each year the zoning commission permits an increase of 580 in the population.

Learn more about arithmetic progression here:

brainly.com/question/16954227

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8 0

1 year ago

Help please! i appreciate it

BlackZzzverrR [31]

Answer:- 1) there are three terms

2) 3,4,1

6 0

3 years ago

How much water can be held by a cylinder tank with a radius of 12 feet and a height of 30 feet