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disa [49]
2 years ago
13

Find the area of this circle. Use 3.14 to approximate A = ar2 20 ft

Mathematics
2 answers:
trasher [3.6K]2 years ago
6 0

Answer:

314

Step-by-step explanation:

ikadub [295]2 years ago
5 0

Answer:

314

Step-by-step explanation:

R= half of d

d= 20

20/2= 10

r=10

Plug into formula:

3.14(10)^2

= 314

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BARSIC [14]

Answer:

x= 0 , \frac{1}{14} , \frac{-1}{12}

Step-by-step explanation:

Given, equation is \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x}. →→→ (1)

Now, by cubing the equation on both sides, we get

( \sqrt[3]{15x-1} + \sqrt[3]{13x+1} )³ = (4\sqrt[3]{x})³

⇒ (15x-1) + (13x+1) + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{15x-1} + \sqrt[3]{13x+1}) = 64 x.

⇒ 28x + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (4\sqrt[3]{x}) = 64x.        

(since from (1),  \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x})

⇒ 12× \sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{x})= 36x.

⇒ 3x = \sqrt[3]{(15x-1)(13+1)(x)}.

Now, once again cubing on both sides, we get

(3x)³ = (\sqrt[3]{(15x-1)(13+1)(x)})³.

⇒ 27x³ = (15x-1)(13x+1)(x).

⇒ 27x³ = 195x³ + 2x² - x

⇒ 168x³ + 2x² - x = 0

⇒ x(168x² + 2x -1) = 0

⇒ by, solving the equation we get ,

x = 0 ; x = \frac{1}{14} ; x = \frac{-1}{12}

therefore, solution is x= 0 , \frac{1}{14} , \frac{-1}{12}

7 0
3 years ago
In a group of seven people, each person flips a fair coin five times and records the results. what is the probability that at le
Firlakuza [10]
1/2+1/2+1/2+1/2+1/2
1/2+1/2+1/2+1/2+1/2
10/2
5
3 0
3 years ago
Alice has two bags of marbles: Bag A contains 8 red and 3 blue marbles, and Bag B contains 5 red and 7 blue marbles. She randoml
Thepotemich [5.8K]

It might help to draw out a probability tree. Check out the diagram below. The first two branches at the top represent bags A and B. The probability of picking either bag is 1/2 assuming each bag is equally likely to be picked.

If we go with bag A, then the probability of getting blue is 3/11 since there are 3 blue out of 8+3 = 11 total. The probability of getting bag A and a blue marble is (1/2)*(3/11) = 3/22 which I've marked in the diagram as well.

If we go with bag B, then the probability of getting blue is 7/12 since there are 7 blue out of 5+7 = 12 total. The probability of getting bag B and blue is (1/2)*(7/12) = 7/24

Add up the results found getting

P(blue) = P(blue & bag A) + P(blue & bag B)

P(blue) = 3/22 + 7/24

P(blue) = 36/264 + 77/264

P(blue) = 113/264

This is shown in the diagram as well.

--------------------------------------------------

Recall that conditional probability in general is defined as follows

P(A given B) = P(A and B)/P(B)

In this problem, we'll have

P(bag B given blue) = P(bag B and blue)/P(blue)

Therefore, we can say...

P(bag B given blue) = P(bag B and blue)/P(blue)

P(bag B given blue) = (7/24)/(113/264)

P(bag B given blue) = (7/24)*(264/113)

P(bag B given blue) = (7*264)/(24*113)

P(bag B given blue) = (7*24*11)/(24*113)

P(bag B given blue) = (7*11)/(113)

P(bag B given blue) = 77/113

In short, the probability of getting bag B, given the marble is blue, is 77/113.

8 0
3 years ago
How do you solve 418.6 divided by 80.5 using long division
nataly862011 [7]
You would write the 80.5 on the outside 418.6 on the inside. You can't divide by a decimal so you have to move the decimal point as many times as you need to on the outside number. You only have to move it over once in the80.5 so it is now 805. You do the same thing to the inside so it it is 4186. You are now dividing 4186 by 805. The answer is 5.2
3 0
3 years ago
free points Aiku has one piece of rope that is 45 centimeters long and another that is 367 centimeters long. How many meters of
riadik2000 [5.3K]

Answer:

4.12

Step-by-step explanation:

going from cm to m, divide length value by 100

45+367=412

412/100=4.12

8 0
3 years ago
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