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3 years ago

Find the area of a circle with a circumference of 12.56 units

Mathematics

1 answer:

ElenaW [278]3 years ago

4 0

Answer:

12.56 square units

Step-by-step explanation:

The formula for circumference is

C = 2πr

Our circumference is 12.56. Using 3.14 for π, we have

12.56 = 2(3.14)r

12.56 = 6.28r

Divide both sides by 6.28:

12.56/6.28 = 6.28r/6.28

2 = r

The area of a circle is given by the formula

A = πr²

Using 3.14 for π and our radius of 2, we have

A = 3.14(2²) = 3.14(4) = 12.56.

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What evidence of climate change on continents supports the theory of continental drift?

77julia77 [94]

Answer:

sorry i was late but the answer is 100% A

Step-by-step explanation:

i just took the test made 100

7 0

3 years ago

VEEL

Andre45 [30]

Answer:

$a_n=-3(3)^{n-1}$ ; {-3,-9, -27,- 81, -243, ...}

$a_n=-3(-3)^{n-1}$ ; {-3, 9,-27, 81, -243, ...}

$a_n=3(\frac{1}{2})^{n-1}$ ; {3, 1.5, 0.75, 0.375, 0.1875, ...}

$a_n=243(\frac{1}{3})^{n-1}$ ; {243, 81, 27, 9, 3, ...}

Step-by-step explanation:

The first explicit equation is

$a_n=-3(3)^{n-1}$

At n=1,

$a_1=-3(3)^{1-1}=-3$

At n=2,

$a_2=-3(3)^{2-1}=-9$

At n=3,

$a_3=-3(3)^{3-1}=-27$

Therefore, the geometric sequence is {-3,-9, -27,- 81, -243, ...}.

The second explicit equation is

$a_n=-3(-3)^{n-1}$

At n=1,

$a_1=-3(-3)^{1-1}=-3$

At n=2,

$a_2=-3(-3)^{2-1}=9$

At n=3,

$a_3=-3(-3)^{3-1}=-27$

Therefore, the geometric sequence is {-3, 9,-27, 81, -243, ...}.

The third explicit equation is

$a_n=3(\frac{1}{2})^{n-1}$

At n=1,

$a_1=3(\frac{1}{2})^{1-1}=3$

At n=2,

$a_2=3(\frac{1}{2})^{2-1}=1.5$

At n=3,

$a_3=3(\frac{1}{2})^{3-1}=0.75$

Therefore, the geometric sequence is {3, 1.5, 0.75, 0.375, 0.1875, ...}.

The fourth explicit equation is

$a_n=243(\frac{1}{3})^{n-1}$

At n=1,

$a_1=243(\frac{1}{3})^{1-1}=243$

At n=2,

$a_2=243(\frac{1}{3})^{2-1}=81$

At n=3,

$a_3=243(\frac{1}{3})^{3-1}=27$

Therefore, the geometric sequence is {243, 81, 27, 9, 3, ...}.

6 0

4 years ago

Which expressions are equivalent to 2(2x + 4y + x − 2y)?

joja [24]

Answer: 2(3x + 2y) and 6x + 4y

Step-by-step explanation:

Hi, to answer this question we have to solve the expression.

2(2x + 4y + x − 2y)

First we have to simplify the expression within the brackets.

2 (2x + x +4y -2y)

2( 3x + 2y)

We have the first equivalent expression. Now to obtain the second expression we apply distributive property:

2 (3x) + 2 ( 2y)

6x + 4y

In conclusion 2(3x + 2y) and 6x + 4y are equivalent expressions to 2(2x + 4y + x − 2y).

Feel free to ask for more if it´s necessary or if you did not understand something.

7 0

3 years ago

The probability that an electronic device produced by a company does not function properly is equal to 0.1. If 10 devices are bo

pantera1 [17]

Answer is A hope this helps :)

8 0

4 years ago

Find the distance between each pair of parallel line<br>y=x-6 and y=x+8

myrzilka [38]

Both these lines are linear and have the same slope, just different y-intercepts. This means one line is shifted higher than the other. y=x+8 is 14 units higher than y=x-6. The answer to you question therefore is 14 units!

5 0

3 years ago