1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
scZoUnD [109]
3 years ago
9

A dinner table is a perfect circle with a diameter of 8 feet

Mathematics
1 answer:
Daniel [21]3 years ago
8 0

Answer:

The area of the tablecloth showing is approximately 45.55 square feet

Step-by-step explanation:

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

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

You might be interested in
How do u get 55 from 3 7 12 2
mr_godi [17]
12+7=19x3=57-2=55 :D
8 0
3 years ago
Rationalise the denominator of: (√3 + √2)/(√3-√2) = ?<br>​
krok68 [10]

Step-by-step explanation:

<h3><u>Given</u><u>:</u><u>-</u></h3>

(√3+√2)/(√3-√2)

<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>

<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>

<h3><u>Solution</u><u>:</u><u>-</u></h3>

We have,

(√3+√2)/(√3-√2)

The denominator = √3-√2

The Rationalising factor of √3-√2 is √3+√2

On Rationalising the denominator then

=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]

=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]

=>(√3+√2)²/[(√3-√2)(√3+√2)]

=> (√3+√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3+√2)²/(3-2)

=> (√3-√2)²/1

=> (√3+√2)²

=> (√3)²+2(√3)(√2)+(√2)²

Since , (a+b)² = a²+2ab+b²

Where , a = √3 and b = √2

=> 3+2√6+2

=> 5+2√6

<h3><u>Answer:-</u></h3>

The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.

<h3><u>Used formulae:-</u></h3>

→ (a+b)² = a²+2ab+b²

→ (a-b)² = a²-2ab+b²

→ (a+b)(a-b) = a²-b²

→ The Rationalising factor of √a-√b is √a+√b

8 0
3 years ago
A bouncy ball is dropped from a height of 16ft and always rebounds of the distance of the previous fall.
nika2105 [10]
16x5=80 cause if it bounces 16 times 5 times then
4 0
2 years ago
Read 2 more answers
what is the decimal equivalent of the fraction? 7/12 enter your answer to the nearest thousandths in the box
Likurg_2 [28]
The answer is 0.583, and the 3 has a bar notation


Hope this helped

btw i also do k12
4 0
3 years ago
Read 2 more answers
HEY, I NEED HELP. QUICK. IM GETTING GROUNDED IF I DONT GET THIS DONE,,,, CHECKING IN ON YOU, HOW ARE YOU? HAVE YOU DRANK WATER?
larisa [96]

Answer:

0, -2 i think :p

Step-by-step explanation:

Because i say so

4 0
3 years ago
Read 2 more answers
Other questions:
  • All real numbers no more than five units from -14
    12·1 answer
  • What two numbers multiply to get neg 240 and what two same numbers add to get neg 8
    15·1 answer
  • The price of a notebook has risen to $3.45 today. Yesterday’s price was $3.20. Find the percentage increase. Round your answer t
    11·1 answer
  • Estimate the value of 98.5x13
    14·2 answers
  • Which is the correct formula to calculate the volume of a cone?
    7·1 answer
  • 3. Jared has two ropes. Each rope is 9 inches long. How many inches of rope does he have in all?
    14·2 answers
  • Find the surface area of the rectangular pyramid below.
    9·1 answer
  • The following data summarizes results from 952 pedestrian deaths that were caused by accidents. If one of the pedestrian deaths
    7·2 answers
  • $7.50 admission; 20% off 5.75% tax
    6·1 answer
  • A realtor paid $34 for a lamp what price should she sell the lamp for if she wants to make a 40% profit
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!