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3 years ago

The volume of the cone is 130 units^3. Solve for x. Height: 13 Radius: x

1 answer:

3 0

V=(1/3)hpir^2
v=130
h=13
r=x

130=(1/3)(13)pix^2
times both sides by 3
390=13pix^2
divide both sides by 13
30=pix^2
divide both sides by pi
30/pi=x^2
sqrt both sides
x≈3.09
radius is abou 3 units

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Answer:

$D=3.5\ gr/cm^3$

Step-by-step explanation:

<u>Density</u>

The density of an object of mass m and volume V is given by

$\displaystyle D=\frac{m}{V}$

It can be expressed in common units like $gr/lt, Kg/m^3, gr/cm^3$ or any other combination of proper mass [M] by volume [V] units.

The data provided in the question is

$m=200\ mg = 0.2\ gr$

$V=0.057\ cm^3$

Thus, the measured density is

$\displaystyle D=\frac{0.2\ gr}{0.057 \ cm^3}$

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3 years ago

For a recent year, 38 more Democrats than Republicans represented a country. If the total number of representatives of the count

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Answer:

Number of republicans = 207

Number of democrats = 245

Step-by-step explanation:

Let :

Number of republicans = x

Number of democrats = x + 38

Total number of representatives from the two parties = 452

Tge number of representatives from each party can be calculated thus ;

Number of democrats + number of republicans = total number of representatives

(x + 38) + x = 452

x + 38 + x = 452

2x = 452 - 38

2x = 414

x = 414 / 2

x = 207

Number of republicans = 207

Number of democrats = 207 + 38 = 245

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3 years ago