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3 years ago

Help me solve asap!!

Mathematics

1 answer:

Dovator [93]3 years ago

4 0

Answer:

2/16

Step-by-step explanation:

The answer is 2/16

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What is 23569 rounded to the nearest ten thousand and thousand?

Anestetic [448]

Rounded to the nearest ten-thousand: 20,000

Rounded to the nearest thousand: 24,000

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3 years ago

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The Goodsmell perfume producing company has a new line of perfume and is designing a new bottle for it. Because of the expense o

Snezhnost [94]

Answer:

Dimensions of the bottle

x (radius of the base ) = 3,99 cm

h (heigh of the bottle ) = 3,99 cm

Surface area = 149,99 cm²

Volume of the bottle = 199,45 cm³

Step-by-step explanation:

The bottle volume must be V(b) = 100 ml or V(b) = 100 cm³

The shape of the bottle is cylindrical

Surface area of bottle is

S = surface area of the base + lateral area

Area of the base = π*x ² where x is radius of circle

Lateral area is 2*π*x*h where h is the heigh of the bottle

V(b) = π* x²*h (1)

π*x² + 2*π*x*h < 150 cm² we work with the limit 150

π*x² + 2*π*x*h = 150

h = (150 - π*x²) /2*x*π

Plugging that value in equation (1)

V(x) = π*x² * (150 - π*x²) /2*x*π ⇒ V(x) = 150*π*x²/2*x*π - π²*x⁴/2*x*π

V(x) = 75*x - π*x³/2

Taking derivatives on both sides of the equation

V´(x) = 75 - 3*π*x²/2

V´(x) = 0 75 - 3*π*x² /2 = 0

x² = 75*2 /3*π ⇒ x² = 15,92 ⇒ x = 3,99 cm

And h = ( 150 -π*x² )/2*π*x

h = ( 150 - 49,98 )/25,05

h = 3,99 cm

Dimensions of the bottle

x (radius of the base ) = 3,99 cm

h (heigh of the bottle ) = 3,99 cm

Surface area = 149,99 cm²

Volume of the bottle = 199,45 cm³

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3 years ago

Find the circumference of the circle and show work

zaharov [31]

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$\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}$

Find the circumference of the circle and show work. [refer to

attachment]

$\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}$

Formula for Circumference of a Circle:-

$\dashrightarrow\star\bigstar\boxed{\boxed{C=2\pi r}}}$

Where

C = circumference
π = pi (3.14…)
r = radius, which in this case is equal to 8

Substitute the value of r and solve:-

C=2π(8)

On simplification,

C=16π

On further simplification,

C=50.3

Therefore, we conclude that the circumference of this circle is

$\dashrightarrow\star\bigstar\boxed{\boxed{\underline{\bold{C=50.3\:yd}}}}\bigstar\star\dashleftarrow$

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2 years ago

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The function f is defined by f(x)=2x^2-1

motikmotik

Step-by-step explanation:

here

f(x)=2x^2-1

Now

f(4y)=2*4y^2-1

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Which known figures make up this unknown figure?

sdas [7]

The known figures that make up this unknown figure are a trapezoid and a half circle.

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