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2 years ago

6

calculate the volume of the prism by first finding the total number of half unit cubes that will fill it. there are 8 half unit

cubes in every unit cubes.

2 answers:

professor190 [17]2 years ago

4 0

Answer:

b

Step-by-step explanation:

the answer is b

kogti [31]2 years ago

4 0

The answer would be B

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Which of the options represents the resulting equation after an equivalent expression for y is substituted into the second equat

Nina [5.8K]

Answer:

Correct choice is D

Step-by-step explanation:

Given the system of two equations:

$\left\{\begin{array}{l}4x+y=8\\6x-9y=12\end{array}\right..$

Fro mthe first equation

$y=8-4x.$

Substitute into the second equation $8-4x$ instead of y:

$6x-9(8-4x)=12.$

Note that $8-4x=-4x+8,$ then the second equation will take look

$6x-9(-4x+8)=12.$

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2 years ago

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Each interior angle of a regular polygon is 140°.Find the number of sides

castortr0y [4]

Step-by-step explanation:

Each interior angle=140°

(n-2)180°/n=140°

180°n-360°/n=140°

180°n-360°=140°n

180°-140°=360°

40°n=360°

n=360°/40°

n=9

Hence, the number of sides of the polygon is 9.

It is nonagon .

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2 years ago

Can someone please help me. I will give you brainliest, I’m struggling bad...

WINSTONCH [101]

A, it crosses the y-intercept at (0,3) :)

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2 years ago

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choli [55]

Part A:it would be 32 dollars because 60 and 30 percent off is 42 dollars subtract 10 is 32

part b: yes it would be different the new total would be 35 because if you subtract 10 first it would be 50 then 30 percent off is 35

3 0

1 year ago

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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

Hunter-Best [27]

What you need to look for is $\frac { dr }{ dt }$ when r=8.

Now:

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

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

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

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

$\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec$

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3 years ago