3 years ago

Determine how much air could fit inside a soccer ball with radius of 4.5 inches.

Mathematics

1 answer:

aksik [14]3 years ago

5 0

381.7

How did I get this?

The formula for a sphere is V = $\frac{4}{3}$ (3.14) $(4.5^{3})$

When you calculate that, you get.

$\frac{243(3.14)}{2}$

Now you divide by 2.

381.7

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The solution to given system of equations is $(x, y) = (\frac{-15}{263} , \frac{-115}{263})$

The given equation has one solution

Solution:

Given system of equations are:

12x - 13y = 5 --------- eqn 1

x = 23y + 10 --------- eqn 2

We have to solve the system of equations by substitution

Substitute eqn 2 in eqn 1

12(23y + 10) - 13y = 5

276y + 120 - 13y = 5

263y = 5 - 120

263y = -115

$y = \frac{-115}{263}$

Substitute the above value of "y" in eqn 2

$x = 23 \times \frac{-115}{263} + 10\\\\x = \frac{-2645}{263} + 10\\\\x = \frac{-2645 + 2630}{263}\\\\x = \frac{-15}{263}$

Thus the solution to given system of equations is $(x, y) = (\frac{-15}{263} , \frac{-115}{263})$

Thus the given equation has one solution

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Answer:

Step-by-step explanation:

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