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bazaltina [42]
3 years ago
5

A circular plot with a 160 foot diameter is watered by a spray irrigation system. To the nearest square foot, what is the area t

hat is watered as the sprinkler rotates through a semicircle?
The area watered is ≈ _____ ft2.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0

A circular plot is watered by a sprinkler that rotates through it. The sprinkler only rotates through a semi-circle, or half of the whole circle.

Area of a circle: A = pi x r^2

r = 160 / 2 = 80

A = pi x 80^2

A = 6400pi / 2 = 3200pi

3200pi = 10053.0965

The area water is approximately 10,053 ft^2.

Hope this helps!! :)

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Which fraction is greater than 3/5<br><br> 4/6<br><br> 6/12<br><br> 3/8<br><br> 4/10
Ulleksa [173]

Answer:

a.) 4/6

Step-by-step explanation:

3/5 = .6

<u><em>4/6 = .666666666667</em></u>

6/12= 0.5

3/8= .375

4/10= .4

8 0
3 years ago
Read 2 more answers
The price of a notebook in 2012 is $2000.
lozanna [386]

First, find 30% of 2,000. To do so you need to convert 30% into a decimal by dividing it by 100.

30% ⇒ 0.30

Now multiply 0.30 by 2,000 to find 30% of 2,000.

2,000 × 0.30 = 600

Subtract 600 from 2,000 to find the price of the notebook in 2013.

2,000 - 600 = 1,400

Now find 30% of 1,400 using the same process.

1,400 × 0.30 = 420

Subtract 420 from 1,400 to find the price of the notebook in 2014.

1,400 - 420 = 980

<h2>Answer:</h2>

<u>The value of the notebook in 2014 is </u><u>$980</u><u>.</u>

7 0
3 years ago
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A recent survey based on a random sample of n=470 voters, predicted that independent candidate for the mayoral election will get
julsineya [31]

I have an expression

\sigma = \sqrt{p(1-p)/n}

floating around in my head; let's see if it makes sense.

The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is

E( (b-p)^2 ) =  (-p)^2(1-p) + (1-p)^2p = p(1-p)

That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:

\sigma = \sqrt{p(1-p)/n}

Plugging in the numbers,

\sigma = \sqrt{.24(1-.24)/490} = 0.019 = 1.9\%

One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.

So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.

7 0
3 years ago
Find a factor pair of 80 that has a sum of 21​
uranmaximum [27]

16 and 5 are the factors

8 0
3 years ago
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Suppose $600 is compounded yearly for 20 years. If no other deposits are made, what rate is needed for the balance to triple in
denis-greek [22]

Answer:

5.65%

Step-by-step explanation:

Principal=$600

Time=20 years

FV=600*3=$1800

n=1

r=?

r= n[(A/P)^1/nt - 1]

=1{(1800/600)^ 1/1*20 - 1}

={(3)^1/20-1}

=3^0.05-1

=1.0565-1

=0.0565

rate=0.0565*100

=5.65% to the nearest hundredth percent

4 0
3 years ago
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