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son4ous [18]
2 years ago
11

A dinner table is a perfect circle with a diameter of 8 feet. With dinner plates that each a diameter of exactly 1 foot, how muc

h of the tablecloth will be showing when the table is set for six people
Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
8 0

The area of the tablecloth showing is approximately 45.55 square feet

<h3>What is an area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called as the area of the circle.

It is given that:-

The diameter of the dinner table, D = 8 feet

The diameter of each plate, d = 1 feet

The number of people at the dinner table = 6 people

The number of plates = 6 plates

The area of the table cloth, A₁ = π·D²/4

∴ A₁ = π × 8²/4

The area covered by the 6 plates, A₂ = 6·π·d²/4

A₂ = 6 × π × 1²/4

Let 'A' represent the area of the tablecloth showing when the table is set for six people, we have;

A = A₁ - A₂

∴ A = π × 8²/4 - 6 × π × 1²/4 ≈ 45.55 ft.²

Therefore the area of the tablecloth showing when the table is set for six people, A ≈ 45.55 ft.²

To know more about an area follow

brainly.com/question/25292087

#SPJ1

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Which statement is true? Lisa has one and four twelves cups of grapes. Dawn has one and eleven twelves cups of grapes. Together
andrew11 [14]

Answer:

The fourth one:  Gavin has one and thirteen fourteenths buckets of water. Daven has one and three fourteenths buckets of water. Together they have three and two fourteenths buckets of water.

Step-by-step explanation:

Gavin = 1 13/14

Daven = 1 3/14

1 13/14 + 1 3/14 = 2  16/14

2 16/14 = 3 2/14 = three and two fourteenths

8 0
3 years ago
What is the value of the sum of all the terms of the geometric series 300, 60, 12, …?
ruslelena [56]
<h3>Answer:   375</h3>

=========================================

Work Shown:

a = 300 = first term

r = 60/300 = 0.2 = common ratio

We multiply each term by 0.2, aka 1/5, to get the next term.

Since -1 < r < 1 is true, we can use the infinite geometric sum formula below

S = a/(1-r)

S = 300/(1-0.2)

S = 300/0.8

S = 375

----------

As a sort of "check", we can add up partial sums like so

  • 300+60 = 360
  • 300+60+12 = 360+12 = 372
  • 300+60+12+2.4 = 372+2.4 = 374.4
  • 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88

and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.

----------

Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.

3 0
3 years ago
Determine the missing information in the paragraph proof.
iren [92.7K]

Answer:

The answer is A.

Step-by-step explanation:

(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = negative 1

7 0
3 years ago
Read 2 more answers
If x = 0 and y &lt; 0, where is the point (x, y) located?
Ulleksa [173]
It’s 0 hope this helps(:
4 0
3 years ago
If x=square root of 6 and y^2=12 then 4/xy=
vova2212 [387]
Y² = 12
y = 2√3

x = √6

Now, 4 /xy
= 4/2√3√6
= 2 / 3√2
= √2/3

In short, Your Answer would be √2 / 3

Hope this helps!
5 0
3 years ago
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