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guajiro [1.7K]
3 years ago
5

Hope someone can help me with this

Mathematics
1 answer:
postnew [5]3 years ago
8 0

The perimeter:

40+35+16+16+125.7= 232.7 m

btw lowkey frustrating that they alternate between cm and m


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a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu
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What you need to look for is \frac { dr }{ dt } when r=8.

Now:

Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }

\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr }  } =\frac { 1 }{ 4\pi { r }^{ 2 } }

And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi  }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }

\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi  }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi  }{ \pi  } \cdot \frac { 1 }{ { r }^{ 2 } }

\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec
3 0
3 years ago
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Ok!
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Three equivalent ratios are: 8/6, 12/9, 16/12
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What is the slope of the line passing through the points (2,-5) and (4,1)
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Slope is the rise/run of the line. With the rise being how far apart the two points are on the y axis, and the run being how far apart the two points are on the x axis.

In this case, the first point is 6 units down from the other and 4 units over from it. (6/4) then from there you would simplify your fraction. (Both numerator and denominator can be divided by 2).


Your slope in total is 3/2. Hope this helped.

7 0
3 years ago
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