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BlackZzzverrR [31]
3 years ago
15

If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with t

he preimage?
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
7 0
Central angle of a regular polygon:
Ф = 360° : n. 
If n=12:  Ф = 360° : 12 = 30°
At the angle of rotation Ф = 30°  the image of the polygon will coincide with the preimage.
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If 14 gallon of paint covers 13 of a wall in Luna's bedroom, how much paint does she need to cover 1 wall?
Travka [436]

Answer:

182

Step-by-step explanation:

1/13=14 gal

14 times 13 = 182 gal.

Unless you wrote it diff, then it would be 14/13 = 1.08 gal (I don't think this one is correct though)

8 0
3 years ago
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The label on the cars antifreeze container claims to protect the car between -30C and 130C. To convert Celsius temperature to Fa
RideAnS [48]
C = 5/9(F - 32)

C = -30
-30 = 5/9(F - 32)
-30 = 5/9F - 160/9
-30 + 160/9 = 5/9F
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- 990/45 = F
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C = 5/9(F - 32)
C = 130

130 = 5/9F  - 160/9
130 + 160/9 = 5/9F
1170/9 + 160/9 = 5/9F
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1330/9 * 9/5 = F
11970/45 = F
266 = F

So in Fahrenheit temp, the the car is protected between -22 F and 266 F

4 0
3 years ago
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2x+7x+x in simplest form
sergeinik [125]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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Which function represents the graph of f(x)=|x+2| after it is translated 4 units to the right?
Kisachek [45]

Answer:

g(x)=|x-2|

Step-by-step explanation:

The vertex form of an absolute function is

g(x)=|x-h|+k            .... (1)

where, (h,k) is vertex.

The given function is

f(x)=|x+2|

The vertex of the function is (-2,0).

It is given that graph of f(x) is translated 4 units to the right. So, the vertex of the function after translation is (2,0).

Substitute h=2 and k=0 in function (1).

g(x)=|x-2|+0

g(x)=|x-2|

Therefore, the required function is g(x)=|x-2|.

7 0
3 years ago
Create your own real-world problem which uses either an arithmetic or geometric sequence to solve it. Include the solution, with
yanalaym [24]
Let's say that you're in your room and you find that the current temperature of 72 degrees is too cold, so slowly you increase the temperature of the room by two degrees.

We know that the explicit formula is
a^n=a^1+ (n-1)d

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by substitution a value of n (the term we are looking for) into this equation, you can then calculate the temperature that you just set the room too.


6 0
4 years ago
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