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Tamiku [17]
3 years ago
8

Which figure has exactly 5 lines of reflection that map the figure onto itself?

Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0

Answer:

pentagon

Step-by-step explanation:

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Find the fifth roots of 32(cos 280° + i sin 280°).
ikadub [295]
<span>Use the formula: r^(1/n)*[ cos( (theta+360*k)/n ) + i*sin( (theta+360*k)/n ) ] where k = 0,1,2,3,4

</span><span>First 5th root: k = 0
r^(1/n)*[ cos( (theta+360*k)/n ) + i*sin( (theta+360*k)/n ) ]
  (32)^(1/5)*[ cos( (280+360*k)/5 ) + i*sin( (280+360*k)/5 ) ]
  (32)^(1/5)*[ cos( (280+360*0)/5 ) + i*sin( (280+360*0)/5 ) ]
   2*[ cos( (280+360*0)/5 ) + i*sin( (280+360*0)/5 ) ]
  2*[ cos( (280+0)/5 ) + i*sin( (280+0)/5 ) ]
  2*[ cos( 280/5 ) + i*sin( 280/5 ) ]
  2*[ cos( 56 ) + i*sin( 56 ) ]
   -------------------------------------------------------------------
 Second 5th root: k = 1
  r^(1/n)*[ cos( (theta+360*k)/n ) + i*sin( (theta+360*k)/n ) ]
  (32)^(1/5)*[ cos( (280+360*k)/5 ) + i*sin( (280+360*k)/5 ) ]
  (32)^(1/5)*[ cos( (280+360*1)/5 ) + i*sin( (280+360*1)/5 ) ]
  2*[ cos( (280+360*1)/5 ) + i*sin( (280+360*1)/5 ) ]
  2*[ cos( (280+360)/5 ) + i*sin( (280+360)/5 ) ]
  2*[ cos( 640/5 ) + i*sin( 640/5 ) ]
  2*[ cos( 128 ) + i*sin( 128 ) ]
 -------------------------------------------------------------------
 Third 5th root: k = 2
  r^(1/n)*[ cos( (theta+360*k)/n ) + i*sin( (theta+360*k)/n ) ]
  (32)^(1/5)*[ cos( (280+360*k)/5 ) + i*sin( (280+360*k)/5 ) ]
  (32)^(1/5)*[ cos( (280+360*2)/5 ) + i*sin( (280+360*2)/5 ) ]
  2*[ cos( (280+360*2)/5 ) + i*sin( (280+360*2)/5 ) ]
   2*[ cos( (280+720)/5 ) + i*sin( (280+720)/5 ) ]
  2*[ cos( 1000/5 ) + i*sin( 1000/5 ) ]
  2*[ cos( 200 ) + i*sin( 200 ) ]
  -------------------------------------------------------------------
 Fourth 5th root: k = 3
  r^(1/n)*[ cos( (theta+360*k)/n ) + i*sin( (theta+360*k)/n ) ]
  (32)^(1/5)*[ cos( (280+360*k)/5 ) + i*sin( (280+360*k)/5 ) ]
  (32)^(1/5)*[ cos( (280+360*3)/5 ) + i*sin( (280+360*3)/5 ) ]
  2*[ cos( (280+360*3)/5 ) + i*sin( (280+360*3)/5 ) ]
  2*[ cos( (280+1080)/5 ) + i*sin( (280+1080)/5 ) ]
  2*[ cos( 1360/5 ) + i*sin( 1360/5 ) ]
  2*[ cos( 272 ) + i*sin( 272 ) ]
   -------------------------------------------------------------------
 Fifth 5th root: k = 4
  r^(1/n)*[ cos( (theta+360*k)/n ) + i*sin( (theta+360*k)/n ) ]
  (32)^(1/5)*[ cos( (280+360*k)/5 ) + i*sin( (280+360*k)/5 ) ]
  (32)^(1/5)*[ cos( (280+360*4)/5 ) + i*sin( (280+360*4)/5 ) ]
  2*[ cos( (280+360*4)/5 ) + i*sin( (280+360*4)/5 ) ]
  2*[ cos( (280+1440)/5 ) + i*sin( (280+1440)/5 ) ]
  2*[ cos( 1720/5 ) + i*sin( 1720/5 ) ]
  2*[ cos( 344 ) + i*sin( 344 ) ]</span>
3 0
4 years ago
A plant cell has a length of 0.000085 meters. Which is this length written in scientific notation?
Dmitrij [34]
The length written in scientific notation is 85 x 10^-6
5 0
3 years ago
A baker made 9 cupcakes, each a different type. Four people want to share them equally. How many cupcakes will each person get?
Leno4ka [110]

Answer: 2 1/4

Step-by-step explanation:

From the question, we are informed that a baker made 9 cupcakes which are to be shared equally by four people.

To get the number of cupcakes that each person gets, we divide the total number of cupcakes by the total number of people. This would be:

= 9 ÷ 4

= 2 1/4 cupcakes

Therefore, each person gets 2 1/4 cupcakes.

3 0
3 years ago
Help me what do i do
faust18 [17]
Answer:

The answer is 25 percent
3 0
3 years ago
Help asap will mark brainiest
Sedbober [7]

Answer:

x=47

Step-by-step explanation:

If the total degrees in a triangle is 180 then you would just add the given values and subtract it from 180.

6 0
3 years ago
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