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barxatty [35]
2 years ago
13

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f

ormed by the watering pattern is 1256.00 square​ feet? Use 3.14 for pi
Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
4 0

Answer:

20 feet

Step-by-step explanation:

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1256.00 square​ feet? Use 3.14 for pi

From the above question, we are to find the radius of the circular pattern

The formula for the Area of the circle = πr²

To find r

r² = A/π

r = √A/π

In the above question, Area = 1256 square feet

π = 3.14

r = √1256/3.14

r = √400

r = 20 feet

The radius/distance from the sprinkler that can spread water = 20 feet

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Can some one help me please
11111nata11111 [884]

Answer:

2x²√13

Step-by-step explanation:

Step 1:  When there is multiplication under a square root sign (also called a radical sign), you can rewrite the expression as the product of two square roots, like this...

√(52x^4)   can be rewritten as     (√52)(√x^4)

Step 2:  x^4 = x²x², so it's the same thing as saying (x²)², or "x-squared, squared".  Taking the square root of it leaves just x-squared, so this simplifies to

  (√52)x²

Step 3:  When taking the square root of a number that is not a perfect square, you need to do a factor tree to see if you can break the number up into a product of perfect squares, or a perfect square multiplied by a prime number.

52 is an even number, so we an at least divide by 2.  

        52/2  is 26, so we have

                  (26)(2)

2 is a prime number, so we don't break that down any further.

26 is even so it is also divisible by 2,

   26/2 is 13, so we have

     (13)(2)(2)

  which we can write as (13)(4)     (groups pairs of numbers together)

(2)(2) is 4, which results in a perfect square, so we can rewrite √52 as

      (√4)(√13),       since √4  = 2, we simplify this expression to

       2√13

So √(52x^4) breaks down to (√52)(√x^4), which further breaks down into

  (2√13)(x²)

We simplify the expression to 2x²√13

3 0
3 years ago
John bought 2 CDs that were the same price.Including sales tax,he paid a total of $33.60.Each CD has a tax of $1.30.What was the
exis [7]
16.15 because 33,60-1.30 is 32.30. 32.30 divided by 2 is 16.15
6 0
2 years ago
How many ounces of 10% alcohol would need to be mixed with pure rubbing alcohol to get 16
givi [52]

Suppose you add <em>x</em> oz of 10% alcohol to <em>y</em> oz of pure alcohol. Then the mixture has a total volume of <em>x</em> + <em>y</em> oz, and we want to end up with 16 oz so that

<em>x</em> + <em>y</em> = 16

For each oz of the solution 10% used, 0.1 oz of alcohol is contributed, and each oz of pure alcohol contributes 1 oz of alcohol. The mixture is supposed to have a concentration of 14%, which comes out to 0.14*16 = 2.24 oz of alcohol. Then

0.1<em> x</em> + 1 <em>y</em> = 2.24

Solve for <em>y</em> in both equations:

<em>y</em> = 16 - <em>x</em>

<em>y</em> = 2.24 - 0.1 <em>x</em>

Set them equal to one another and solve for <em>x</em>, then for <em>y</em>.

16 - <em>x</em> = 2.24 - 0.1 <em>x</em>

13.76 = 0.9 <em>x</em>

<em>x</em> = 13.76/0.9 ≈ 15.29

<em>y</em> = 16 - 15.29 ≈ 0.71

So you need about 15.29 oz of 10% alcohol and 0.71 oz of pure alcohol to get the desired mixture.

6 0
3 years ago
A student determined that the area of the segment of OC shown above is A segment = 137.71ft
oksian1 [2.3K]
It would be C because it is right
8 0
3 years ago
SHOW WORK!!! ASAP!!! Thank you
OLEGan [10]

Answer:

  • Not an isosceles trapezoid

Step-by-step explanation:

Plot the given points.

We can see and  visually confirm this is not isosceles.

<u>(1,1) to (3, 3) distance is:</u>

  • AD = \sqrt{(1-3)^2+(1-3)^2  } = \sqrt{8} = 2\sqrt{2}

<u>(5,3) to (8, 1) distance is:</u>

  • BC = \sqrt{(5-8)^2+(3-1)^2  } = \sqrt{13}

We see AD ≠ BC

The sides are not of the same length.

6 0
3 years ago
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