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3 years ago

Need a little help with this problem!

Mathematics

1 answer:

charle [14.2K]3 years ago

6 0

Answer:

The second one

Step-by-step explanation:

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That statement is True

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Rhett decides to build a square room for his movie and music collection. If the area of the room is 9x2 − 6x + 1 square feet, wh

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3 years ago

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Anna11 [10]

Answer:$2175

Step-by-step explanation:

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15x+675

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3 years ago

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box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box (in cm) that minimize the am

Naya [18.7K]

Answer:

Hence the width, length is 20 cm and height is 10 cm

Step-by-step explanation:

Since the box has a square base, let length = width = x. Also, let the height = y, therefore:

The volume of box = width * length * height

4000 = x * x * y

4000 = x²y

y=4000/x²

The surface area (SA) = area of the base + sum of the area of each side

SA = x² + xy + xy + xy + xy

SA = x² + 4xy

substitute y = 4000/x²

SA = x² + 4x(4000/x²)

SA = x² + 16000/x

Taking the derivative:

SA' = 2x - 16000/x²

making SA' = 0:

0 = 2x - 16000/x²

2x = 16000/x²

2x³ = 16000

x³ = 8000

x = 20 cm

y = 4000 / x² = 4000 / 20² = 10 cm

Hence the width, length is 20 cm and height is 10 cm

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3 years ago

The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is

Troyanec [42]

Answer:

Area of each piece = 104 $cm^{2}$

Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.

Step-by-step explanation:

Given that:

Dimensions of the rectangular board as:

Length of the board is 10 cm longer than its width.

Width of the board = 26 cm

Length of the board = 26 + 10 = 36 cm

The rectangular board is divided into 9 equal pieces.

To find:

Area of each piece and

the possible dimensions of each piece = ?

Solution:

First of all, let us calculate the area of bigger rectangular board.

Area of a rectangle is given by the following formula:

$Area = Length \times Width$

Area = 26 $\times$ 36 $cm^2$

Area of each smaller rectangle = $\frac{26\times 36}{9} = 104\ cm^2$

To find the possible dimensions, we need to find the factors of 104.

104 = 26 $\times$ 4

104 = 13 $\times$ 8

Therefore, the Possible dimensions are 26 cm by 4 cm

and

13 cm by 8 cm.

5 0

3 years ago