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IRISSAK [1]
3 years ago
7

the formula to find the period of orbit a satellite around a planet is T^2=(4pi^2/GM)r^3 where r is the orbits mean radius. If y

ou are givin all the values except r, how do you rewrite the formula to solve for r
Mathematics
1 answer:
Oxana [17]3 years ago
7 0

Answer:

<u>The correct answer is r = ∛GM*T²/4π²</u>

Step-by-step explanation:

Let's rewrite the formula to find the period of orbit of a satellite around a planet, to solve for r, this way:

T^2=(4pi^2/GM)r^3

T² = (4π²/GM) * r³

r³ = T²/ (4π²/GM)

r³ = T² * GM/4π²

r³ = GMT²/4π²

∛r³ = ∛GM*T²/4π²

r = ∛GM*T²/4π²

<u>The correct answer is r = ∛GM*T²/4π²</u>

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7 0
3 years ago
the radius of a standard baseball is about 3 in. about how many square in of horsehide required to cover 100 balls, to the neare
ipn [44]

Answer:

Step-by-step explanation:The surface area of a sphere (the shape of a baseball) is given by the formula, SA = 4 (pi) r^2. Given the circumference of the circle, you can solve for the radius.  

The formula for circumference is C = 2 x pi x r.  

So input 9 for C and solve. 9 = 2 x pi x r.  

You will get that r is equal to about 1.43 in.  

Now put that r value into the surface area equation: SA = 4 (pi) 1.43^2  

You will get a surface area equal to about 25.7 in^2.  

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3 0
3 years ago
La presa de Hidroituango tiene una altura de 225 m., alberga 20 millones de m^3 de volumen y una cresta de 550 metros de longitu
bija089 [108]

Answer:

El ancho de la superficie = 444,44 my el largo = 200 m

La superficie de la superficie de la presa = 88888,89 m²

Step-by-step explanation:

Los parámetros dados son;

La altura del agua en la presa = 225 m

El volumen de agua en la presa, d = 20 millones de m³

La longitud de la base = 200 m

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El volumen viene dado por la relación;

200 × 225 × x = 20 millones de m³

x = 20.000.000 / (200 × 225) = 444,44 m

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7 0
3 years ago
An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, −8).
MAVERICK [17]

Answer:

The last one.

Step-by-step explanation:

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  b = 15 . . . . . . . . . . . . . . . . . take the square root

The equation of the ellipse is then ...

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3 0
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