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3 years ago

Find the distance between the points ( – 18,4) and ( – 18, – 20).

Mathematics

1 answer:

worty [1.4K]3 years ago

6 0

Answer:

(-18,4) is 16 units below (-18,20). hope this helps

Step-by-step explanation:

- Zombie

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8 Emma noticed that the new admission fee for a zoo is 65% more than last year's fee. Iff

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Answer:

A and C

Step-by-step explanation:

Only A and C represent a 65% increase

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3 years ago

Which measurement is the greatest 6kilometers 60meters 600centimeters or 6000 millime

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3 years ago

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Which three numbers have a least common multiple of 60?

professor190 [17]

Answer:

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Step-by-step explanation:

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3 years ago

A box with a square base and no top is to be built with a volume of 1638416384 in33. Find the dimensions of the box that require

julsineya [31]

Answer:

$512\ \text{in}^2$

Step-by-step explanation:

x = Length and width of base

y = Height of box

Volume of the box is $16384\ \text{in}^3$

$x^2y=16384\\\Rightarrow y=\dfrac{16384}{x^2}$

Surface area is given by

$s=x^2+4y\\\Rightarrow s=x^2+4\times \dfrac{16384}{x^2}\\\Rightarrow s=x^2+\dfrac{65536}{x^2}$

Differentiating with respect to x we get

$s'=2x-\dfrac{131072}{x^3}$

Equating with 0 we get

$0=2x^4-131072\\\Rightarrow x=(\dfrac{131072}{2})^{\dfrac{1}{4}}\\\Rightarrow x=16$

$s''=2+\dfrac{393216}{x^4}$

at $x=16$

$s''=2+\dfrac{393216}{16^4}=8>0$

So the function is minimum at x = 16

$y=\dfrac{16384}{x^2}=\dfrac{16384}{16^2}\\\Rightarrow y=64$

The material required is

$s=x^2+4y=16^2+4\times 64\\\Rightarrow s=512\ \text{in}^2$

The minimum amount of material required is $512\ \text{in}^2$ .

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3 years ago

A container is shaped like a cylinder with half spheres on each end the cylinder has a length of 30 centimeters and a radius of

4vir4ik [10]

The container is aproximatly 1064.16 cm^2

Volume of a cylinder (area of the base* height) + area of the sphere (4 *pi * r^2)
(25*30) + (4* pi * 25) = 750 + 314.15926535898 = 1064.15926535898

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4 years ago

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