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chubhunter [2.5K]
3 years ago
14

What is the area of the irregular polygon shown below?

Mathematics
1 answer:
Fantom [35]3 years ago
5 0

Answer:56

Step-by-step explanation:add all the sides together

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Plzzzzz help me with this
ehidna [41]

Answer:

We conclude that we must add 4² or 16 to complete the square.

Hence, option C i.e. 16 is the correct answer.

Step-by-step explanation:

We know that the perfect square formula is

<em>(a + b)² = a² + b² + 2ab</em>

Given the equation

x^2+8x

Let us add 4² or 16 in the equation

x^2+8x+4^2

x^2+\:2\left(1\right)\left(4\right)x+4^2

as <em>(a + b)² = a² + b² + 2ab, </em>so

<em />x^2+8x+4^2=\left(x+4\right)^2<em />

<em />

Therefore, we conclude that we must add 4² or 16 to complete the square.

Hence, option C i.e. 16 is the correct answer.

4 0
3 years ago
Read 2 more answers
Suppose that--in any given time period--a certain stock is equally likely to go up 1 unit or down 1 unit, and that the outcomes
Leviafan [203]

Answer:

x =45 and y = 23

Step-by-step explanation:

6 0
3 years ago
Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water
galben [10]

Answer:

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

         = 624,305,840,400 \times  0.9167  

         = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

      = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

      =  0.0033

      = 0.33%

Step-by-step explanation:

i) acres to square feet :    1 acre = 43560 square feet

  therefore 14,332,090 acres  = 624,305,840,400 square feet

ii) 1 mile  = 5280 feet

   1 cubic mile  = 5280 \times 5280 \times 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles  = 173,693,585,360,000 cubic feet

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

    = 624,305,840,400 \times  0.9167   = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

  = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

   =  0.0033

  = 0.33%

7 0
3 years ago
Which of the following is an irrational number?
stepan [7]

Answer:

7.25252525

Step-by-step explanation:

Irrational numbers are numbers that never end, therefore 7.25 is an irrational number. also, none of the other ones are never ending

8 0
3 years ago
Purchased a vase and flowers at her local flower shop. At home, she wants to fill the cylindrical vase and at the
Paraphin [41]

Step-by-step explanation:

We know that

Radius = Diameter/2

=> Radius = 2/2

=> Radius = 1 in

Now,

Volume of cylinder = πr²h

=> π × (1)² × 9

=> 9π in³

Since it is filled ⅔ of the volume

So,

Water to be putted = ⅔ × 9π = 6π in³

3 0
2 years ago
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