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sergey [27]
3 years ago
12

What is the answer to a^6 divided by b^6 in exponential notations?

Mathematics
1 answer:
polet [3.4K]3 years ago
3 0
\frac{a^n}{b^n} = (\frac{a}{b})^n
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The volume of a pyramid varies jointly as the height and the area of the base. If a pyramid has the measurements V=1144
Naddika [18.5K]

Answer:

  • 11040 m³
  • k ≈ 0.33
  • V = (1/3)Bh

Step-by-step explanation:

The given relation is ...

  V = kBh . . . . . for some base area B, height h, and constant of variation k

We are given length and width of the base so we presume it is a rectangle.

  B = l·w = 8·11 = 88 . . . . square meters

The given volume tells us the value of k:

  1144 = k(88)(39) . . . . . . cubic meters

  1144/3432 = k = 1/3 ≈ 0.33

The value of k is about 0.33.

__

Then the volume of the larger pyramid is ...

  V = (1/3)(15 m)(46 m)(48 m) = 11,040 m³

The general relationship is ...

  V = 1/3Bh

7 0
3 years ago
I need help before 10:00pm tonight
Citrus2011 [14]

The answer is B. The data is similar throughout the line.

7 0
3 years ago
A cylinder has a volume of 400 cubic feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3.
Lisa [10]

The radius of the cylinder will be  r=2.25ft

<h3>What will be the radius of the cylinder?</h3>

It is given that

Volume of the cylinder = 400 ft^{3}

height of the cylinder= 25 ft^{3}

Now we know that

Volume of the cylinder = \pi r^{2} h

putting values in the formula

400= \pi \times r^{2} \times25

r= \dfrac{4}{\sqrt{3.14} }

r=2.25 ft

Thus the radius of the cylinder will be  r=2.25ft

To learn more about the Volume of the cylinder follow

brainly.com/question/9554871

8 0
2 years ago
Factor completely 4p2 - 25q2 =
mel-nik [20]
Answer: 2(4p - 25q)


Explanation: 4p*2 = 8p - 25q*2 = 8p - 50q = 2(4p - 25q)
6 0
3 years ago
HELP!
Anastasy [175]

The areas of the parallelograms can be compared as: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

<h3>What is a parallelogram?</h3>

A parallelogram refers to a geometrical shape and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

<h3>How to calculate the area of a triangle?</h3>

Mathematically, the area of a triangle can be calculated by using this formula:

Area = ½ × b × h

Where:

  • b represents the base area.
  • h represents the height.

<h3>How to calculate the area of a rectangle?</h3>

Mathematically, the area of a rectangle can be calculated by using this formula;

A = LW

Where:

  • A represents the area of a rectangle.
  • l represents the length of a rectangle.
  • w represents the width of a rectangle.

Next, we would determine the area of the two parallelograms as follows:

Area of parallelogram 1 = Area of red-rectangular figure - Area of triangle A - Area of triangle B - Area of triangle C - Area of triangle D.

Substituting the given parameters into the formula, we have;

Area of parallelogram 1 = (6 × 6) - (½ × 4 × 2) - (½ × 2 × 4)- (½ × 4 × 2) - (½ × 2 × 4)

Area of parallelogram 1 = 36 - 4 - 4 - 4 - 4

Area of parallelogram 1 = 36 - 16

Area of parallelogram 1 = 20 units².

For parallelogram 2, we have:

Area of parallelogram 2 = Area of blue-rectangular figure - Area of triangle P - Area of triangle Q - Area of triangle R - Area of triangle S.

Substituting the given parameters into the formula, we have;

Area of parallelogram 2 = (8 × 4) - (½ × 2 × 2) - (½ × 6 × 2)- (½ × 2 × 2) - (½ × 2 × 6)

Area of parallelogram 2 = 32 - 2 - 6 - 2 - 6

Area of parallelogram 2 = 32 - 16

Area of parallelogram 2 = 16 units².

Difference = Area of parallelogram 1 - Area of parallelogram 2

Difference = 20 - 16

Difference = 4 units².

In conclusion, we can infer and logically deduce that the area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

Read more on parallelogram here: brainly.com/question/4459854

#SPJ1

6 0
1 year ago
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