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EleoNora [17]
3 years ago
12

The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation.

Mathematics
2 answers:
Andru [333]3 years ago
7 0
It is B. Since each angle is 60 degrees, if you rotate B counterclockwise 6 times, it means that you rotated B 360 degrees. Therefore, the image of B would be B.
AleksAgata [21]3 years ago
6 0

Answer:

B will be at same place after all six rotations.

Step-by-step explanation:

If rotation maps to 60^{\circ}

Then [tex]R^6[tex] means six rotations .

The given B after one rotation will shift in place of A

After second rotation will shift in place of F

After third rotation will shift in place of E

After fourth rotation will shift in place of D

After fifth rotation will shift in place of C

After sixth rotation will shift in place of B itself.

Therefore, B will come back to same place after all the required rotations.

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You buy items costing $1900 and finance the cost with a fixed installment loan for 24 months at 8% simple interest per year.
ddd [48]

9514 1404 393

Answer:

  1. $304
  2. $91.83

Step-by-step explanation:

1. The finance charge is found from the simple interest formula;

  I = Prt

where P is the principal amount, r is the annual rate, and t is the number of years.

24 months is 2 years, so the interest charged is ...

  I = $1900×0.08×2 = $304

The finance charge is $304.

__

2. The monthly payment will be the total amount due, divided by the number of months.

  payment = ($1900 +304)/24 = $2204/24 ≈ $91.83

The monthly payment is $91.83.

6 0
3 years ago
Show your work with long division please
Naya [18.7K]

Answer:

<h3>   __</h3><h3>0.63</h3>

Step-by-step explanation:

7/11 = no, add 0

70/11 = 6, so 0.6, remainder is 4, add 0

40/11 = 3, so 0.03, remainder is 7, add 0

70/11 = 6... and it goes on

<h3>The answer is 0.63 bar notation on both 6 and 3</h3>
4 0
3 years ago
If f(x) = 2x2 - 5 and g(x) = x2 - 4x - 8, find (f - g)(x).
oksano4ka [1.4K]

Answer:

B. ) x² + 4x + 3

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) =

(2x²-5) - (x²-4x-8) =

2x² - x² + 4x + 8 - 5 =

x² + 4x + 3

8 0
3 years ago
Based on the diagram, which expresses all possible
qaws [65]

The expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81

<h3>Properties of a triangle</h3>

From the question, we are to determine the expression that expresses all possible lengths of segment AB

From one of the properties of a triangle,

The <u>third side</u> of any triangle is greater than the difference of the other <u>two sides</u>; and the <u>third side</u> of any triangle is lesser than the sum of the <u>two other sides</u>

Then, we can write that

AB < 27 + 54

and

AB > 54 - 27

Putting the two inequalities together, we get

54 - 27 < AB < 27 + 54

27 < AB < 81

Hence, the expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81

Learn more on the Properties of a triangle here: brainly.com/question/1851668

#SPJ1

3 0
1 year ago
What is the circumference of a circle with a<br> diameter of 3 cm? (Use 3.14 as pi)
hoa [83]

Answer:

circumference=9.42

Step-by-step explanation:

the formula for circumference is pi x diameter.

4 0
3 years ago
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