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VashaNatasha [74]
3 years ago
12

Find the area of the circle.

Mathematics
2 answers:
klasskru [66]3 years ago
8 0

Answer:

28.26 ft²

Step-by-step explanation:

The equation for the area of a circle is:

A = πr²

Plug in 3 for r:

A = π(3²) = 9π ≈ 28.27

The answer says 28.26, but it should be rounded to 28.27. I recommend pointing this out to your teacher!  

ddd [48]3 years ago
7 0

Answer:

28.26

Step-by-step explanation:

The area of a circle is πr^2. So all you would do you be π times 3 to the power of 2 to get abour 28.26.

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Find the probability of a least one birthday match among a group of 44 people.
Cerrena [4.2K]

Answer:

0.1137= 11.37%

Step-by-step explanation:

Assuming there are 365 days in one year and every people have 1 birthday, then the chance for two people to have the same birthday is 1/365 and the chance they are not is 364/365. We are asked the chance for at least one match among 44 people. The opposite of the condition is that we have 0 matches and easier to calculate. The calculation will be:

P(X>=1)= ~P(X=0) = 1

P(X>=1)=- P(X=0)

P(X>=1)=1 - (364/365)^44

P(X>=1)=1- 0.8862

P(X>=1)=11.37%

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3 years ago
Which function is nonlinear?
Pavlova-9 [17]

Answer:

Option C. is nonlinear.

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2 years ago
An oblique cylinder has a radius of 10 units and slant length of 26 units.
GREYUIT [131]

Answer:

A. 2,400π cubic units

Step-by-step explanation:

4 0
3 years ago
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A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material for the sides of the can costs
PSYCHO15rus [73]

Answer:

the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm

Step-by-step explanation:

since the volume of a cylinder is

V= π*R²*L → L =V/ (π*R²)

the cost function is

Cost = cost of side material * side area  + cost of top and bottom material * top and bottom area

C = a* 2*π*R*L + b* 2*π*R²

replacing the value of L

C = a* 2*π*R* V/ (π*R²) + b* 2*π*R²  = a* 2*V/R + b* 2*π*R²

then the optimal radius for minimum cost can be found when the derivative of the cost with respect to the radius equals 0 , then

dC/dR = -2*a*V/R² + 4*π*b*R = 0

4*π*b*R = 2*a*V/R²

R³ = a*V/(2*π*b)

R=  ∛( a*V/(2*π*b))

replacing values

R=  ∛( a*V/(2*π*b)) = ∛(0.03$/cm² * 600 cm³ /(2*π* 0.05$/cm²) )= 3.85 cm

then

L =V/ (π*R²) = 600 cm³/(π*(3.85 cm)²) = 12.88 cm

therefore the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm

5 0
3 years ago
Simplify the following expression<br><br> [ (3x6) ] + (5x2) ] ÷ 7
KonstantinChe [14]
<span>[ (3x6) ] + (5x2) ] ÷ 7
= (18 + 10)/7
= 28/7
= 4</span>
6 0
3 years ago
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