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arlik [135]
3 years ago
9

The circumference of a circle with a radius of 1 is 2π. Set up a proportion to find the circumference of a circle with a radius

of 6.
Mathematics
1 answer:
Gnesinka [82]3 years ago
5 0

Answer:

6 radius = 2π x 6

              = 12π

Step-by-step explanation:

Circumference of a circle

C = 2πr

here r is radius of circle and 2π is constant is we can say that circumference   of a circle is directly proportional to it's radius.

C ∡ r

Given in the question that circumference of a circle with a radius of 1 is 2π.

1 radius = 2π

6 radius = 2π x 6

              = 12π

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Find an equation for the nth term of the arithmetic sequence.<br> 8,6,4,2,…
jarptica [38.1K]

Answer:

1st term= 8 2nd term=6 3rd term=4 4th term=2 5th term=0 6th term=-2 7th term=-4 8th term=-6 9th term=-8 10th term=-10

Step-by-step explanation:

hope this helps

7 0
2 years ago
If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3
horrorfan [7]

Answer:  The correct option is (B) 24 : 25.

Step-by-step explanation:  Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Therefore, the ratio of the area of R to the area of S is

\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

6 0
3 years ago
What is the square root of 144
dlinn [17]

Answer:

12

Step-by-step explanation:

12x12 is 144

3 0
2 years ago
Consider the diagram. BC is parallel to DE. Find the length of BC.
Lubov Fominskaja [6]

Answer:

It should be 5 but my brain is literally dead

Step-by-step explanation:

Please give brainlest

3 0
1 year ago
What is the value of g(f(-5))?
fredd [130]

Replace x in the equation for f(x) with -5:

|2x +9| = |2(-5) +9| = |-10 +9| = |-1| = 1

Now find x 1 and see where the graph of G(x) crosses the Y :

It crosses ay Y = 5

The answer is A. 5

8 0
2 years ago
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