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Lapatulllka [165]
3 years ago
5

A scale model of the statue of liberty is 8 inches tall. If the scale used is 1 in = 30yd. What is the actual height of the stat

ue of liberty?
Mathematics
1 answer:
zavuch27 [327]3 years ago
3 0

Answer: 250 yd

Step-by-step explanation:

From the question, we are informed that the scale model of the statue of liberty is 8 inches tall and that the scale used is 1 in = 30yd.

Since the scale used was 1 in = 30 yd, the actual height of the statue of liberty will be:

= 8 × 30

= 240 yd

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Answer:

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lilavasa [31]

The count of the equilateral triangle is an illustration of areas

There are 150 small equilateral triangles in the regular hexagon

<h3>How to determine the number of equilateral triangle </h3>

The side length of the hexagon is given as:

L = 5

The area of the hexagon is calculated as:

A = \frac{3\sqrt 3}{2}L^2

This gives

A = \frac{3\sqrt 3}{2}* 5^2

A = \frac{75\sqrt 3}{2}

The side length of the equilateral triangle is

l = 1

The area of the triangle is calculated as:

a = \frac{\sqrt 3}{4}l^2

So, we have:

a = \frac{\sqrt 3}{4}*1^2

a = \frac{\sqrt 3}{4}

The number of equilateral triangles in the regular hexagon is then calculated as:

n = \frac Aa

This gives

n = \frac{75\sqrt 3}{2} \div \frac{\sqrt 3}4

So, we have:

n = \frac{75}{2} \div \frac{1}4

Rewrite as:

n = \frac{75}{2} *\frac{4}1

n = 150

Hence, there are 150 small equilateral triangles in the regular hexagon

Read more about areas at:

brainly.com/question/24487155

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