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Thepotemich [5.8K]
3 years ago
10

what is the circumference of a circle that has a radius of 8 units use 3.14 (pie) and round to the nearest hundredth

Mathematics
1 answer:
SashulF [63]3 years ago
5 0

Remember that the formula for the circumference, C, of a circle is:

C = d \pi


In this case, we are not given the diameter. However, remember that the diameter is equivalent to two times the radius of a circle. Thus,

d = 2 \cdot 8 = 16,

and we can say the circumference of our circle is:

C = 16 \cdot 3.14 = 50.24 \,\textrm{units}


The circumference of our circle is 50.24 units.


<em>Also, a little side note not relating to the question:</em>

<em>Remember that \pi is spelled as "pi" not "pie." Pie is a dessert, while pi is a mathematical constant.</em>

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A landscape designer has to construct a rectangular flower bed with a perimeter of 100 feet and the maximum possible area. What
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Answer:

   625 square feet

Step-by-step explanation:

The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is

  A = (25 ft)² = 625 ft²

The maximum possible area is 625 ft².

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In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.

8 0
3 years ago
A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of t
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Answer:

See below ~

Step-by-step explanation:

<u>Things to Find</u>

  1. Volume of Toy
  2. Difference of Volumes in Cube and Toy
  3. Total Surface of Toy

<u>Volume of Toy</u>

  • Volume of Hemisphere + Volume (Cone)
  • 2/3πr³ + 1/3πr²h
  • 1/3πr² (2r + h)
  • 1/3 x 3.14 x 16 (8 + 4)
  • 1/3 x 50.24 x 12
  • 50.24 x 4
  • <u>200.96 cm³</u>

<u></u>

<u>Volume of Circumscribing Cube</u>

  • Edge length is same as diameter
  • V = (8)³
  • V = 512 cm³

<u>Difference in Volume</u>

  • 512 - 200.96
  • <u>311.04 cm³</u>

<u></u>

<u>Slant height of cone</u>

  • l² = 4² + 4²
  • l² = 32
  • l = 4√2 cm = 5.6 cm

<u />

<u>Surface Area of Toy</u>

  • CSA (hemisphere) + CSA (Cone)
  • 2πr² + πrl
  • πr (2r + l)
  • 3.14 x 4 (8 + 5.6)
  • 12.56 x 13.6
  • <u>170.8 cm²</u>
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2 years ago
What is the correlation coefficient for the data shown in the table?
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Answer:

The correlation coefficient is -1

Step-by-step explanation:

Here, we want to get the correlation coefficient for the given dataset

from the table, what do we observe?

As x is increasing by 5 units;

y is decreasing by 5 units

What this mean is that there is a negative correlation between both

Thus, what we have here is that, since the rate of increase/decrease on both ends is of equal magnitude but opposite signs, we can conclude that the correlation coefficient is -1

8 0
3 years ago
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Answer:

-8n+1

Step-by-step explanation:

the word product indicates multiplication and it says that the product is between n and -8 so we are multiplying -8 and n. 1 more indicates addition so we are adding 1 to the product of -8n.

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You guys can have these free points :)))
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Answer:

ok

Step-by-step explanation:

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