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Luda [366]
3 years ago
14

2. What is the area of the figure below? (2 point)

Mathematics
1 answer:
Vitek1552 [10]3 years ago
7 0

Answer:

63 m^2

Step-by-step explanation:

The figure appears to be a parallelogram.

area of parallelogram = base * height

Use the 14-m side as the base. Then the height is the perpendicular distance between the two opposite 14-m sides, so the height is 4.5 m.

area = base * height

area = 14 m * 4.5 m

area = 63 m^2

P.S. The choices are given in square meters (m^2), which is a unit of area, not in meter times square root of 2 "m sqrt(2)."

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A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than
Volgvan

Answer:

Length = 8 inches

Width = 4 inches

Height = 6 inches

Step-by-step explanation:

Volume of the box = 192 cubic inches

Volume of a box = length × width × height

Let

Width = x

Length = 2x

Height = x + 2

Volume of a box = length × width × height

192 = 2x * x * (x + 2)

192 = 2x^2 (x + 2)

192 = 2x^3 + 4x^2

Divide through by 2

96 = x^3 + 2x^2

Subtract 96 from both sides

x ^3 + 2x^2 - 96 = 0

Factorise

(x - 4) (x^2 + 6x + 24) = 0

x^2 + 6x + 24 has no real x-value

So,

Divide both sides by (x^2 + 6x + 24).

0 ÷ (x^2 + 6x + 24) = 0

So,

(x - 4) = 0

x = 4

Width = x = 4 inches

Length = 2x

= 2(4)

= 8 inches

Height = x + 2

= 4 + 2

= 6 inches

Check:

Volume of a box = length × width × height

= (8 * 4 * 6) inches

= 192 inches

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What is 1/10 divided by 5
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Step-by-step explanation:

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