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erik [133]
4 years ago
12

How would I solve this?

Mathematics
1 answer:
lutik1710 [3]4 years ago
5 0

Answer:

It is rotated by 72 degrees.

Step-by-step explanation:

  • Since it is a regular polygon,

        when u connect all the corners of it to the middle of the polygon, they       will meet at a point i.e, CENTER.

  • The sum of the angles subtended by all the sided at the center will be 360 degrees.
  • As there are 60 sides, the angle subtended by each side at the center will be 6 degrees.

Because,

\frac{360}{60} = 6

  • As the polygon rotates every minute and it is rotated for 12 minutes,

12*6 = 72

( For every minute, it will be rotated by 6 degrees.

so, for 12 minutes it should be rotated by 12 times 6 ( 12*6) = 72 degrees)

  • So, after 12 minutes it will be rotated by 72 degrees.
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Answer:

6

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3 years ago
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Center (8,9) and radius r=10
LekaFEV [45]

Answer:

A. Standard form: (x-8)^2+(y-9)^2=100

B. General form: x^2+y^2-16x-18y+45=0

Step-by-step explanation:

We have been given that center of a circle is at point (8,9) and radius of our circle is 10 units. We are asked to write the equation of our circle.

A. Since we know that the equation of a circle in standard form is: (x-h)^2+(y-k)^2=r^2, where,

(x,y) = Any point on circle,

(h,k) = Center of the circle,

r = Radius of the circle.

Upon substituting our given values in standard form of circle's equation we will get,

(x-8)^2+(y-9)^2=10^2

(x-8)^2+(y-9)^2=100

Therefore, the equation of our given circle in standard form will be (x-8)^2+(y-9)^2=100.

B. Since we know that equation of a circle in general form is: x^2+y^2+Ax+By+C=0, where, A, B and C are constants.

Upon expanding our standard form of equation we will get,

x^2-16x+64+y^2-18y+81=100

x^2-16x+64+y^2-18y+81-100=100-100

x^2-16x+y^2-18y+64+81-100=0

x^2-16x+y^2-18y+45=0

x^2+y^2-16x-18y+45=0

Therefore, the equation of our given circle in general form will be x^2+y^2-16x-18y+45=0.

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3 years ago
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Answer:

A. 270

Step-by-step explanation:

30% can be rewritten as 3/10

To multiply 900 by 3/10, just divide by 10 (90) and multiply by 3 (270)

Therefore, the answer is A. 270

Bonus: To find the actual price, just subtract this amount (270) from the original price (900).

The television costs $630.

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