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Novay_Z [31]
2 years ago
8

4.2

Mathematics
1 answer:
pashok25 [27]2 years ago
3 0

Answer:

The answer is "\bold{1920 \ in^2}".

Step-by-step explanation:

Please find the graph file.

Rectangular solid area:

Its region comprises four rectangles, each 15 for each case 14 in each.

The rectangle field is the formula A = lw

The four rectangles are therefore covered by a zone: \to A = 4lw = 4 \times 15 \ in \times 14 \ in = 840 \ in^2.

square Pyramids area:

The pyramids in both squares have 8 triangular facets.

Each triangle has a 15-inch basis with a 14-inch base.

The triangle zone formulation is A = \frac{1}{2}bh

That's it. The 8 triangles area is \to A = 8 \times \frac{1}{2}bh = 4bh = 4 \times 15 \ in \times 18 \ in = 1080 \ in^2

Total field surface:

Strong rectangular= 840 \ in^2

Pyramids in the Square= 1080

Overall area = 1920 \ in^2

The number is 1920\ in^2 for a total area.

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tiny-mole [99]

Answer:

42 cm.

Step-by-step explanation:

Please find the attachment.

Let x be the length of diagonal of the square.

We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.

We can see from our diagram that triangle AC is the diagonal of our square.

Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.

AC^2=AD^2+DC^2  

Upon substituting our given values in above formula we will get,

x^2=(30\text{ cm})^2+(30\text{ cm})^2

x^2=900\text{ cm}^2+900\text{ cm}^2

x^2=1800\text{ cm}^2

Let us take square root of both sides of our equation.

x=\sqrt{1800\text{ cm}^2}

x=42.4264\text{ cm}\approx 42\text{ cm}

Therefore, the length of diagonal of our given square is 42 cm.

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Step-by-step explanation:

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