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Ostrovityanka [42]
2 years ago
6

What is the area of the figure below?

Mathematics
2 answers:
Mashutka [201]2 years ago
4 0
The answer to your question is 67
AlladinOne [14]2 years ago
3 0

Answer:

68 inches squared

Step-by-step explanation:

First, let's find the area of the squares at the top and bottom. Area for a square is:

L * W = A

Plug in the values...

3 * 3 = 9

Therefore, the area of the two squares combined is 18 inches (since 9 + 9 = 18). Now, the hexagon in the middle, which is the hardest part. We will have to separate it into 4 triangles and a rectangle, for simplification. We need to find the base widths of the triangles, which are:

7 (total width) - 3 (middle width) / 2 (because there are two sides)

So it is:

(7 - 3)/2

4/2 = 2

So, the base of the triangle is two inches. We also know that the height of the triangle is five inches. The formula for the area of a triangle is:

(B * H)/2 = A

Fill it in...

(2 * 5)/2

10/2 = 5 inches

So, the area of each triangle is 5 inches. Since there are four triangles, we need to do:

5 * 4 = 20 inches

That means that all of the triangles combined is 20 inches. Lastly, we need the middle part of our hexagon. It is 10 inches tall, and three inches wide. So...

L * W = A

10 * 3 = 30

So, that means that the area of the hexagon is:

30 + 20 = 50

Plus, the two squares from the beginning:

50 + 18 = 68 inches squared

Therefore, the area of the figure is 68 inches. Hope this helps you!

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Answer:

  1. C
  2. E
  3. B

Step-by-step explanation:

The idea of a "production possibilities curve" is that there is a fixed relationship between possible production of one product and possible production of another. This relationship is presumed to exist because resources used to produce one product are then unavailable to produce the other product.

The graph of the curve generally has increased production in the direction away from the origin. So, points between the curve and the origin represent production choices that do not utilize all available resources of the kind that give rise to the curve. That is, points "inside" the curve represent under-utilization of resources.

1. Point C represents under-utilization.

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2. Points "outside" the curve are unattainable, because the curve represents production using all available resources.

  Point E is unattainable.

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3. The assumptions behind the curve are that there must be a tradeoff between production of one item and production of another that uses the same resources. That is, increasing production of one item will necessarily decrease production of the other, representing a cost of the increased production of the first item. We call this cost an "opportunity cost", because it represents production opportunity lost with respect to the second item.

  Choice B describes this situation.

_____

<em>Additional comment</em>

The very idea of a "production possibilities curve" represents the sort of simplification that is often used in the study of economics. The real world is much messier, and these curves are always dynamic. They are affected by the regulatory environment, resource quality, technology, product quality, and availability of alternate or competing products, among other things. The very existence of such a curve precludes the possibility of "win-win" situations, which we know are generally available if they are sought after.

6 0
3 years ago
Which expression is equivalent to -3(4x-0.50)?<br> PLEASEEEEEEEEEEEEE HELPPP
Misha Larkins [42]

Final Answer: -12x + 1.5

Steps/Reasons/Explanation:

Question: Which expression is equivalent to -3(4x - 0.50)?

<u>Step 1</u>: Expand by distributing terms.

-3 × 4x - 3 × -0.50

<u>Step 2</u>: Simplify -3 × 4x to -12x.

-12x - 3 × -0.50

<u>Step 3</u>: Simplify 3 × -0.50 to -1.5.

-12x - (-1.5)

<u>Step 4</u>: Remove parentheses and add.

-12x + 1.5

~I hope I helped you :)~

6 0
3 years ago
A store that buys and sells used video games buys a game at a cost of ​$19 and sells it at a selling price of ​$22. Find the mar
bija089 [108]
3 is the correct answer
8 0
3 years ago
The officer stepped off 20 paces from E to G. If his pace is 2 1/2 feet long. How wide was the river?
Sergeeva-Olga [200]

Answer:

The wide of river is 50\ ft

Step-by-step explanation:

In this problem we know that

Triangles DEG and DEF are congruent by ASA (Angle-Side-Angle) Congruence

therefore

EG=EF

EG=20*(2\frac{1}{2})=20*\frac{5}{2}=50\ ft

8 0
3 years ago
Find the area of the shaded region.<br> use 3.14 for pi. Round to the hundredths if necessary.
ludmilkaskok [199]

Answer:

<em>122.46 cm² </em>

Step-by-step explanation:

A = \pi r^{2}

~~~~~~~~~

r_{1} = 8 cm

r_{2} = 5 cm

A = 3.14 ( 8² - 5² ) ≈ <em>122.46 cm²</em>

7 0
3 years ago
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