3 years ago

Plz help it’s due rn!!

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

6 0

Answer:

3. angles forming a linear pair to sum to 180

4. Def of supplementary angles

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Harlamova29_29 [7]

Step-by-step explanation:

A lead cube of side $27\text{ cm}$ is used to make spherical pellets of diameter $4\text{ cm}$ .

As the volume of lead is conserved, the volume of raw material equals the volume of finished products.

$\text{Volume of cube} = \text{Volume of spheres produced}$

Let us assume that $n$ cubes are produced. Volume of a cube of side $s$ is $s^{3}$ . The volume of a sphere of diameter $d$ is $\dfrac{\pi d^{3}}{6}$ .

$(27\text{ cm})^{3}=n\times (\dfrac{\pi (4 cm)^{3}}{6} )\\\\19683\text{ cm}^{3}=n\times (\dfrac{32\pi \text{ cm}^{3}}{3} )\\\\n=587.37$

n is rounded off to 587.

∴ 587 spherical pellets can be made.

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4 years ago

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3 years ago

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Step-by-step explanation:

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