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Lerok [7]
3 years ago
15

Analyze the reflectional symmetry of the regular polygons. The square has -fold reflectional symmetry. The regular octagon has -

fold reflectional symmetry.

Mathematics
1 answer:
postnew [5]3 years ago
8 0

Answer:

The square has 4-fold reflectional symmetry. The regular octagon has 8-fold symmetry.

Step-by-step explanation:

For a square,

There are two lines of symmetry along two diagonals and

two lines of symmetry along midpoints of two pairs of opposite sides.

Therefore, there are 4 lines of reflectional symmetry in total.

For a regular octagon,

There are four lines of symmetry along four diagonals and

four lines of symmetry along midpoints of four pairs of opposite sides.

Therefore, there are 8 lines of reflectional symmetry in total.

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Juan starts a new coffee shop. The table shows the coffee sales at his shop for the first 5 days. What is the average rate of ch
vodomira [7]

Answer:

Average rate of change from day 2 to day 5 is $43.33/day.

Step-by-step explanation:

Sales on day 2 = 200

Sales on day 5 = 330

Rate of change = \frac{330-200}{5-2} =\frac{130}{3}=43.33

3 0
2 years ago
The oblique prism below has an isosceles right triangle
Zarrin [17]

The volume of the prism, in cubic units is V = 1/2*x³ + x²

The figure and options are in the figure attached

<h3>What is an Oblique Prism ?</h3>

An oblique prism is a polyhedron figure , with a rectangular base and triangular side faces .

It is given that

The oblique prism below has an isosceles right triangle base.

In the figure attached, the oblique prism is shown.

The volume of the prism is  given by

V = b*h

h is the height and b is the Area of the base

It is given that the base is an isosceles right triangle, its area is:

Area of a Triangle = (1/2) base * height

here the base and height is x

b = 1/2*x²

The height of the prism is (x + 2).

Then, the volume is:

V = 1/2*x²*(x + 2)

V = 1/2*x³ + x² cu. units

To know more about Oblique Prism

brainly.com/question/20837986

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7 0
2 years ago
Find the value of x for which the graph of y = 3x^2 - 8x + 7 achieves its minimum y-value.​
gulaghasi [49]

Answer:

<h3>The y value achieves its minimum at x = 4/3</h3>

Step-by-step explanation:

Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.

At the turning point, dy/dx = 0

Given y = 3x² - 8x + 7

\frac{dy}{dx} = 6x-8\\ at\ turning\ point\ 6x-8 = 0

6x = 8\\x = \frac{8}{6}\\ x =\frac{4}{3}

The y value achieves its minimum at x = 4/3

7 0
2 years ago
What is the value of |-3.25| And |-4.25|
Yakvenalex [24]

The values are |-3.25| = 3.25  and  |-4.25| = 4.25

<h3>How to determine the values of the expressions?</h3>

The expressions are given as

|-3.25| and |-4.25|

The above expressions are absolute value expressions

And as a general rule, an absolute value expression, when evaluated must follow the following rule

|±a|  = a

Using the above as a guide, we have

|-3.25| = 3.25

Also, we have

|-4.25| = 4.25

Hence, the values of the expressions are |-3.25| = 3.25  and  |-4.25| = 4.25

Read more about absolute value expressions at

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8 0
1 year ago
The perimeter of the rectangular base of a monument is 210.5 feet. If the width is equal to its​ length, what are the dimensions
Ann [662]
If width is equal to length then it's a square.
perimeter in this case would be 4x length of each side.
that is( 4 x length)= 210.5
length= width= 210.5/4= 52.62 feet
6 0
3 years ago
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