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AfilCa [17]
3 years ago
12

A living room has a circular rug. According to a small tag, the rug has a circumference of 12.56 meters. What is the rug's diame

ter? Use 3.14 for ​.
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0

Answer:

  4 m

Step-by-step explanation:

The circumference of a circle is the product of π and the diameter.

  C = πd

  12.56 m = 3.14d

  d = 12.56 m/3.14 = 4 m

The rug's diameter is 4 meters.

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Answer:b

Step-by-step explanation:

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Which of the following best describes a regular polygon when the sum of its interior angles is 1260?
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Nonagon - 9 sides

Sum of interior angle of a polygon is (n-2)180 = x

N is the number of sides, so when you plug in 1260 for x, you get 9 for n
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Estimate the product of 204 times 0.46
nikdorinn [45]
204 times .46 equals 93.84, to round of it would be 93.8
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Ava bought 1.7 lb of plums and 7.2 lb of peaches how many was her total. Plums:$0.23. per pound peaches:$1.22 per pound​
Rainbow [258]

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Step-by-step explanation:

Your answer is 10.42 c:

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3 years ago
If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b
strojnjashka [21]
Surface area of box=1200 cm² 
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
 = the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>


<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>

by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>


<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000 
v=4000</span>
4 0
3 years ago
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