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Lostsunrise [7]
3 years ago
9

I dont understand this i did the study guide but this still doesn't make sense ​

Mathematics
1 answer:
Serga [27]3 years ago
4 0
The answer should be C
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Step-by-step explanation:

volume of cone=1/3×π×4²×10=160/3 π cm³

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4 years ago
A box witxh a height (x+5) cm has a square base with side x com. A second box with height (x+2) com has a square base with side
Eva8 [605]

Answer:

x=5.37 cm

Step-by-step explanation:

we know that

The volume of the box is

V=Bh

where

B is the area of the base of the box

h is the height of the box

<em>Box 1</em>

we have that

The area of the base is

B=x^2\ cm^2

h=(x+5)\ cm

The volume of the Box 1

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V_1=x^2(x+5)\ cm^3

V_1=(x^3+5x^2)\ cm^3

<em>Box 2</em>

we have that

The area of the base is

B=(x+1)^2\ cm^2

h=(x+2)\ cm

The volume of the Box 2

is equal to

V_2=[(x+1)^2(x+2)]\ cm^3

V_2=[(x^2+2x+1)(x+2)]\ cm^3

V_2=(x^3+2x^2+x+2x^2+4x+2)\ cm^3

V_2=(x^3+4x^2+5x+2)\ cm^3

Equate the equation of Volume 1 to the equation of Volume 2

(x^3+5x^2)=(x^3+4x^2+5x+2)

(5x^2)=(4x^2+5x+2)

5x^2-4x^2-5x-2=0

x^2-5x-2=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is x=5.37 cm

see the attached figure

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4 years ago
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astraxan [27]

Answer:

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Step-by-step explanation:

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