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Salsk061 [2.6K]
3 years ago
9

A dog is leashed to a point in the center of a large yard, so the area the dog is able to explore is circular. The leash is 20 f

eet long. What is the area of the region the dog is able to explore
Mathematics
1 answer:
ankoles [38]3 years ago
5 0
400pi
Which is almost equal to 1256 feet.
You might be interested in
Andre wants to run ten miles in three days. He ran 2.5 miles on Monday and 4.4 miles on Tuesday. How many miles does Andre need
Daniel [21]

Answer:

3.1 miles

Step-by-step explanation:

2.5 + 4.4 = 6.9

10 - 6.9 = 3.1

4 0
3 years ago
Matthew goes hiking every 12 days and swimming every 6 days. He did both
AlexFokin [52]
The next 18 days because your trying to see how many days it is until he does BOTH
3 0
3 years ago
The average weight of the entire batch of the boxes of cereal filled today was 20.5 ounces. A random sample of four boxes was se
zhenek [66]

Answer:

s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And replacing we got:

s= 0.286

And then the estimator for the standard error is given by:

SE= \frac{0.286}{\sqrt{4}}= 0.143

Step-by-step explanation:

For this case we have the following dataset given:

20.05, 20.56, 20.72, and 20.43

We can assume that the distribution for the sample mean is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error for this case would be:

SE= \frac{\sigma}{\sqrt{n}}

And we can estimate the deviation with the sample deviation:

s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And replacing we got:

s= 0.286

And then the estimator for the standard error is given by:

SE= \frac{0.286}{\sqrt{4}}= 0.143

4 0
3 years ago
A silo is in the shape of a cone. The silo is 7 meters tall, and its base has a radius of 1.5 meters. Rice costs 204$ per cubic
olganol [36]

Answer:

  $3364.65

Step-by-step explanation:

The volume of the cone is given by the formula ...

  V = (1/3)πr²h

Filling in the given numbers, we find the volume to be ...

  V = (1/3)π(1.5 m)²(7 m) = 5.25π m³ ≈ 16.49336 m³

The cost of the rice will be the product of this volume and the price per cubic meter:

  cost = (16.49336 m³)($204/m³) = $3364.65

The cost of the rice necessary to fill the volume is $3364.65.

_____

<em>Comment on pi</em>

If you use the value 3.14 for pi, the cost comes to $3362.94. A 3-digit value of pi only gives an answer good in its first 3 digits.

3 0
3 years ago
Points A(-2, 4), B(1, 3), C(4, -1) and D form a parallelogram. What are the coordinates of D?
Rudik [331]
Let point A(-2,4)  = A (X1,Y1)
      point B( 1,3  )= B (X2,Y2)
      point C(4,-1)  = C (X3,Y3)
and point D(?, ?) = D (X4,Y4)  We have to find this point

To find X4 we have to use the formula:
X2-X1=X3-X4

Now just plug in the numbers that correspond to the letters provided:
(1)-(-2)=(4)-(X4) ----> we don't know what X4 is yet, so we have to solve for it!
1+2=4-X4
3=4-X4
3-4=-X4
-1=-X4  divide both sides by -1
X4=1

Now we have to find Y4 using this formula:
Y2-Y1=Y3-Y4

Therefore,
(3)-(4)=(-1)-(Y4)
-1=-1-Y4
-1+1=-Y4
0=-Y4
So,
Y4=0


Now we have found the coordinates of the point D, which is (1,0)

Hope this helped!
8 0
3 years ago
Read 2 more answers
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