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2 years ago

At which angle will the hexagon rotate onto itself?

Mathematics

2 answers:

marissa [1.9K]2 years ago

5 0

Answer:

The correct answer is: 60°

Step-by-step explanation:

Rotational symmetry is a type of symmetry, in which an object returns back to its original shape after rotation at an angle of 360°/n about a fixed point.

A hexagon is a regular polygon that has six edges and vertices. It has six internal angles, 120° each.

<u>Since there are 6 equal edges, therefore, the hexagon will rotate onto itself after every rotation at an angle of: 360°/n = 360°/6 = 60°</u>

irinina [24]2 years ago

4 0

360°/60°=6
in 360° you have 6 rotations of 60°

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What is the answer /6=40/60

ddd [48]

There is no answer, the equation is false.

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2 years ago

A particular racing bicycle normally costs $3,000. If there is an 8.25% sales tax, what is the total price of the bicycle?

Alinara [238K]

Answer:$642

Step-by-step explanation:

Solution:

First, calculate the amount of sales tax by multiply the percent tax times the total cost:

0.07×600 =42

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3 0

2 years ago

Read 2 more answers

Write an equation for the circle with endpoints of a diameter (9, 4) and (-3, -2)

inysia [295]

If the diameter is at (9,4) and (-3,-2), then the center of the circle is the midpoint of that segment.

and since we know that the radius of a circle is half of the diameter, whatever long that diameter segment is, the radius is half that.

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 9 &,& 4~) 
% (c,d)
&&(~ -3 &,& -2~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{-3+9}{2}~~,~~\cfrac{-2+4}{2} \right)\implies \stackrel{center}{(3~,~1)}$

$\bf -------------------------------\\\\
~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 9 &,& 4~) 
% (c,d)
&&(~ -3 &,& -2~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{(-3-9)^2+(-2-4)^2}\implies d=\sqrt{(-12)^2+(-6)^2}
\\\\\\
d=\sqrt{180}\qquad \qquad \qquad radius=\cfrac{\sqrt{180}}{2}$

$\bf -------------------------------\\\\
\textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{3}{ h},\stackrel{1}{ k})\qquad \qquad 
radius=\stackrel{\frac{\sqrt{180}}{2}}{ r}
\\\\\\
(x-3)^2+(y-1)^2=\left( \frac{\sqrt{180}}{2} \right)^2\implies (x-3)^2+(y-1)^2=\cfrac{(\sqrt{180})^2}{2^2}
\\\\\\
(x-3)^2+(y-1)^2=\cfrac{180}{4}\implies (x-3)^2+(y-1)^2=45$

7 0

2 years ago

6r-r+8(15-r)+23-6 solve

lys-0071 [83]

Your answer is -3r + 137

thats the answer i think

4 0

2 years ago

Read 2 more answers

Which property do i use to solve x-10=15

Stells [14]

Add both sides by 10

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3 years ago