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Karolina [17]
3 years ago
6

Oliver is building a box kite. The frame of the kite has the dimensions shown. He covered the sides of the kite (but not the top

and bottom) with 720072007200 cm^2 2 start superscript, 2, end superscript of lightweight fabric.

Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Answer:

h=60 and v=54000 cm³.

Step-by-step explanation:

Let h be the height of the box kite,

Assume that the length of one face of base is 30 cm and another face of the base is 30 cm.

The total area of the kite box that is covered by the fabric

Area= 4 \times \text{Area of one face}

Area= 4 \times (30\times h)

Area= 120h

The area of 4 sides of the kite is 7200.

120h = 7200

Divide both sides by 120.

h=60

The height of the box is 60 cm.

The volume of a rectangular prism.

V=length\times breadth\times height

V=30\times 30\times 60

V=54000

Therefore, the height of the kite is 60 units and volume of the volume inside the kite is 54000 cm³.

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Aaron is 15 centimeters taller than Peter, and five times Aaron's height exceeds two times Peter's height by 525 centimeters.
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Okay so
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3 years ago
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stealth61 [152]

Answer:

x = 11, -1

Step-by-step explanation:

First, let's identify what the quadratic formula is:

x = [-b ± √(b² - 4(a)(c))] / 2

Our equation is written in standard form:

ax² + bx + c = 0

x² - 10x - 11 = 0

Let's plug in what we know.

x = [-(-10) ± √((-10)² - 4(1)(-11))] / 2

Evaluate the exponent.

x = [-(-10) ± √(100 - 4(1)(-11))] / 2

Simplify the negatives.

x = [10 ± √(100 - 4(1)(-11))] / 2

Multiply.

x = [10 ± √(100 + 44)] / 2

Simplify the parentheses.

x = [10 ± √(144)] / 2

Simplify the radical (√)

x = [10 ± 12] / 2

Evaluate the ±.

x = [10 + 12] / 2

x = [22] / 2

x = 11

or

x = [10 - 12] / 2

x = [-2] / 2

x = -1

Your answers are x = 11, -1

Hope this helps!

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