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xxTIMURxx [149]
2 years ago
6

How many lines of symmetry does a regular polygon with 32 sides have

Mathematics
1 answer:
Leya [2.2K]2 years ago
3 0
32. 16 through opposite vertices and 16 through the centres of opposite sides 
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3. Nine times ten to the negative third power
Harman [31]

Answer:the answer to this is 0.009

Step-by-step explanation:

5 0
3 years ago
Which expressions are equivalent to 10a - 25 + 5b10a−25+5b10, a, minus, 25, plus, 5, b?
Rainbow [258]

Answer:

Answer: (2a - 5 + b)5

Answer: 10 x (a - 2.5 + 0.5b)

Answer: (-2a + 5 - b) ⋅ (-5)

4 0
3 years ago
You are designing a rectangular poster to contain 7575 in2 of printing with a 33​-in margin at the top and bottom and a 11​-in m
erma4kov [3.2K]

Answer:

The dimensions of the rectangular poster is 15 in by 5 in.

Step-by-step explanation:

Given that, the area of the rectangular poster is 75 in².

Let the length of the rectangular poster be x and the width of the rectangular poster be y.

The area of the poster = xy in².

\therefore xy=75

\Rightarrow y=\frac{75}{x}....(1)

1 in margin at each sides and 3 in margin at top and bottom.

Then the length of printing space is= (x-2.3) in

                                                           =(x-6) in

The width of printing space is = (y-2.1) in

                                                  =(y-2) in

The area of the printing space is A =(x-6)(y-2) in²

∴ A =(x-6)(y-2)

Putting the value of y

\Rightarrow A =(x-6)(\frac{75}{x}-2)

\Rightarrow A = 87-\frac{450}{x}-2x

Differentiating with respect to x

A '= \frac{450}{x^2}-2

Again differentiating with respect to x

A''=-\frac{900}{x^3}

To find the minimum area of printing space, we set A' = 0

\therefore \frac{450}{x^2}-2=0

\Rightarrow 450 =2x^2

\Rightarrow x^2=225

\Rightarrow x=\pm 15

Now putting x=±15 in A''

A''|_{x=15}=-\frac{900}{15^3}

A''|_{x=-15}=-\frac{900}{(-15)^3}=\frac{900}{(15)^3}>0

Since at x=15 , A"<0 Therefore at x=15 , the area will be minimize.

From (1) we get

y=\frac{75}{x}

Putting the value of x

y=\frac{75}{15}

   =5 in

The dimensions of the rectangular poster is 15 in by 5 in.

4 0
3 years ago
Factor the expression 16j^+24j+9. Thank u I appreciate it
meriva
Factor the expression.
3(128j+3)
7 0
3 years ago
Find the circumcenter of the triangle (-2,4) (-2,-1) (1,-1)
lana66690 [7]

Answer:

<em>( </em>-\frac{1}{2}<em> , </em>\frac{3}{2}<em> )  </em>

Step-by-step explanation:

( x_{1} , y_{1} )

( x_{2} , y_{2} )

Coordinates of midpoint are

( \frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )

~~~~~~~~~~~~~~~~~~~~

The figure is right triangle.

The circumcenter is the middle of the hypotenuse.

( - 2, 4 )

( 1 , - 1 )

<em>( </em>-\frac{1}{2}<em> , </em>\frac{3}{2}<em> ) </em>

3 0
1 year ago
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