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Rashid [163]
3 years ago
6

A small cube with side length 6y is placed inside a larger cube with side length 4x^2. What is the difference in the volume of t

he cubes?
Mathematics
2 answers:
olasank [31]3 years ago
5 0

Answer:

64x⁶ - 216y³

Step-by-step explanation:

The formula for the volume of a cube is  

Vol. = l³

For the large cube,  

V =(4x²)³

V = 64x⁶

For the small cube,  

v =(6y)³

v = 216y³

The difference in volume is

Diff. = 64x⁶ - 216y³

crimeas [40]3 years ago
3 0

Answer:

A.      (4x^2-6y)(16x^4+24x^2y+36y^2)

Step-by-step explanation:

Question:

A small cube with side length 6y is placed inside a larger cube with side length  4x^2. What is the difference in the volume of the cubes?

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The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.

Then according to the problem:

2x + y = P ..(1)

P is the perimeter of the rectangle.

xy = 405000  (area of the rectangle)

Plug the value of y in the equation (1) from the above equation.

P(x) = 2x + 405000/x

P'(x) = x—405000/x² = 0

x = 450 m

P''(x) > 0 hence at x = 450 the value of P(x) is minimum.

y = 405000/450

y = 900 m

P(min) = 1800 m

Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

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2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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To find a positive and a negative angle coterminal<span> with a given </span>angle<span>, you can add and subtract if the </span>angle<span> is measured in degrees or if the </span>angle<span> is measured in radians</span>
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Francisco finds a Web site that defines a regular hexagon as a "six-sided polygon with six congruent angles and six congruent si
andrey2020 [161]

Answer:

d.

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Any other figure does not fit the definition.

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Write the equation in point-slope form for a line that passes through the point (4, -1) and has a slope of 6.
givi [52]

Answer: y-(-1)=6(x-4)

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Step-by-step explanation:

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y-(-1)=6(x-4)

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3 years ago
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