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maxonik [38]
3 years ago
7

If ABCD is a parallelogram. BC=13 and AB=5, what is the perimeter of the parallelogram?

Mathematics
1 answer:
UkoKoshka [18]3 years ago
6 0

Answer:

36

Step-by-step explanation:

In a Parallelogram , it is important to note that opposite sides are equal to each other.

We are given parallelogram ABCD.

We have sides: AB, BC, CD, AD.

Since opposite sides are equal then:

AB = CD

BC = AD

The perimeter of a parallelogram is the sum of all its sides.

In the question: BC=13 and AB=5

Hence,

AB = CD = 5

BC = AD = 13

Perimeter of Parallelogram ABCD = 5 + 5 + 13 + 13

= 36.

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A certain region currently has wind farms capable of generating a total of 2200 megawatts (2.2 gigawatts) of power. Assuming win
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Answer:

<u>The correct answer is A. 4,818'000,000 kilowatt-hours per year and B. 481,800 households.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,200 Megawatts or 2.2 Gigawatts

2. Let's resolve the questions A and B:

Part A

Assuming wind farms typically generate 25​% of their​ capacity, how much​ energy, in​ kilowatt-hours, can the​ region's wind farms generate in one​ year?

2,200 * 0.25 = 550 Megawatts

550 Megawatts = 550 * 1,000 Kilowatts = 550,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

550,000 Kw generated by the farms means that are capable of produce 550,000 kw per hour of energy

550,000 * 24 = 13'200,000 kilowatt-hours per day

<u>13'200,000 * 365 = 4,818'000,000 kilowatt-hours per year</u>

Part B

Given that the average household in the region uses about​ 10,000 kilowatt-hours of energy each​ year, how many households can be powered by these wind​ farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (4,818'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

<u>Amount of households =  4,818'000,000/10,000 = 481,800</u>

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4 years ago
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