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1 year ago

6

A plane intersects a prism parallel to the base of the prism. The cross section is a polygon with eight sides. The base of the p

rism has how many sides?

2 answers:

Ksenya-84 [330]1 year ago

7 0

I'm not quite sure but I believe the answer to your question is 4 sides

maxonik [38]1 year ago

4 0

Answer:

wouldn't it be 6

Step-by-step explanation:

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Using the side-splitter theorem, which segment length would complete the proportion?

tia_tia [17]

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<u>The Side-Splitter Theorem</u>: States that If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those two sides proportionally

so

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1 year ago

What is the value of the digit 6 in the number 48.061?

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Answer:

The hundredths place.

Step-by-step explanation:

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ones, tens, hundreds, thousand, 10 thousand, 100 thousand, million...ect.

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1 year ago

The density of air is approximately 1.225 kg/m^3 what is the volume of a soccer ball if the mass of the air it contains is 0.08

svetoff [14.1K]

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1 year ago

Investigate the following harvesting model both qualitatively and analytically. If a constant number h of fish are harvested fro

zalisa [80]

Answer:

a. The population does not become extinct in finite time.

Step-by-step explanation:

The model for the population of the fishery is

$dP/dt = P(a-bP)-h, P(0) = P_0$

If we rearrange and replace the constants we have:

$\frac{dP}{P(7-P)-49/4} =dt\\\\-4 (\frac{dP}{4(P-7)P+49}) =dt\\\\-4 \frac{dP}{(2P-7)^2} =dt\\\\-4 \int\frac{dP}{(2P-7)^2} =\int dt\\\\-4(-\frac{1}{2(2P-7)})=t+C\\\\\frac{2}{2P-7}=t+C\\\\ t=0 \,\,\, P(0)=P_0\\\\\frac{2}{2P_0-7}=0+C\\\\C=\frac{2}{2P_0-7}$

Now we can calculate if the population become 0 in any finite time

$\frac{2}{2P-7}=t+\frac{2}{2P_0-7}\\\\\frac{2}{2*0-7}=t+\frac{2}{2P_0-7}\\\\-\frac{2}{7}=t+\frac{2}{2P_0-7}\\\\$

To be a finite time, t>0

$t=-\frac{2}{7}-\frac{2}{2P_0-7}=0\\\\-\frac{2}{2P_0-7}=\frac{2}{7}\\\\7-2P_0=7\\\\P_0=0$

We can conclude that the only finite time in which P=0 is when the initial population is 0.

Because P0 is a positive constant, we can say that the population does not become extint in finite time.

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1 year ago