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2 years ago

Can someone please help with this?

Mathematics

2 answers:

Katena32 [7]2 years ago

8 0

Answer:

I believe the amount of paper disposed was 80 lbs. Also glass would be 14 lbs.

Expanation:

The amount of lbs was 200, you simply need to double the percentages, I hope this helps.

Alecsey [184]2 years ago

3 0

Answer:

A: 80 pounds of paper, B: 14 pounds of glass

Step-by-step explanation:

A:

If Tom's family disposes of 200 pounds of solid waste, and paper makes up 40% of that waste, you multiply 200*40% or 200*0.4 to get the answer which is 80 pounds of paper.

B:

If Tom's family disposes of 200 pounds of solid waste, and glass makes up 7% of that, you multiply 200*7% or 200*0.07 to get an answer of 14 pounds of glass.

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2 years ago

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Choose the best coordinate system to find the volume of the portion of the solid sphere rho <_4 that lies between the cones φ

MrRissso [65]

Answer:

So, the volume is:

$\boxed{V=\frac{128\sqrt{2}\pi}{3}}$

Step-by-step explanation:

We get the limits of integration:

$R=\left\lbrace(\rho, \varphi, \theta):\, 0\leq \rho \leq 4,\, \frac{\pi}{4}\leq \varphi\leq \frac{3\pi}{4},\, 0\leq \theta \leq 2\pi\right\rbrace$

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we get:

$V=\frac{64}{3} \int_0^{2\pi} \sqrt{2} \, d\theta\\\\V=\frac{64\sqrt{2}}{3}\cdot[\theta]_0^{2\pi}\\\\V=\frac{128\sqrt{2}\pi}{3}$

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$\boxed{V=\frac{128\sqrt{2}\pi}{3}}$

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