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Sliva [168]
3 years ago
9

Which is true about both Pappus‘s Theorem and Desargues’ Theorem?

Mathematics
1 answer:
borishaifa [10]3 years ago
6 0
I think it is a hope it helps
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An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak
gregori [183]

Answer:

17.9  m/s

Step-by-step explanation:

Volume of the slick =  0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

           h = thickness of slick, 10⁻⁶m

If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V  =  0.5 x π r² h

0.5=  0.5 x  π x  r² x 10⁻⁶

r²   =  10⁶/ π

r =     10³/√π

dV/dt =   πrh dr/dt  + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt =   πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

r=  10³/√π

dr/dt= rate of expansion of the slick

Substituting  into (3);

0.1 =  π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1  x 10⁶/ ( π x 10³/√π)

       =  17.9479 m/s

       ≅  17.9  m/s

8 0
3 years ago
Which two issues have increased the need for alternatives to fossil fuels?
kirill115 [55]

Answer:

1. Global warming / carbon emission

2. Limited availability of the Earth resources

Step-by-step explanation:

1. Global warming is the ongoing rise of the average temperature of the Earth's climate system and has been demonstrated by direct temperature measurements and by measurements of various effects of the warming. It is a major aspect of climate change which, in addition to rising global surface temperatures, also includes its effects, such as changes in precipitation. The global warming is as a result of carbon emissions caused largely by fossil fuel

2. Limited availability of earths resources as warranted the need to source for alternative means of energy

8 0
3 years ago
Solve the system by elimination -3x+4y=16 3x+y=4
Illusion [34]
X's cancel 5y = 20 y= 4 X=0
7 0
3 years ago
Name
Rudiy27

I think you're missing a bit of the question. If her savings can be modeled by x...?

3 0
3 years ago
Round 299 to the nearest hundred. Enter your answer in the box below.
Troyanec [42]

Answer:

300

Step-by-step explanation:

hundreds  tens  ones

2                   9      9

We look at the tens

It is 5 or higher so we round up the hundreds place

2 becomes 3

300

7 0
3 years ago
Read 2 more answers
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