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2 years ago

PLEASE HELP!!!!!!!! also, show all work Thank you:)

Mathematics

1 answer:

barxatty [35]2 years ago

4 0

Problem 1

<h3>Answer: 104 cubic inches</h3>

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Explanation:

The prisms are similar so they have the same shape, but different sizes.

The linear scale factor from small to large is:

large/small = 10/4 = 2.5

Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism

4*2.5 = 10

This linear scale factor is then cubed to get the volume scale factor

(2.5)^3 = 15.625

Which tells us:

larger volume = 15.625*(smaller volume)

smaller volume = (larger volume)/15.625

smaller volume = (1625)/15.625

smaller volume = 104 cubic inches

========================================================

Problem 2

<h3>Answer: 650 square inches</h3>

----------------------

Explanation:

We will go back to the linear scale factor of 2.5

This time, we square it to get (2.5)^2 = 6.25

This is the surface area scale factor.

larger surface area = 6.25*(smaller surface area)

larger surface area = 6.25*(104)

larger surface area = 650 square inches

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Alex73 [517]

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3 years ago

The number of a certain company's video stores can be approximated by the linear equation y= -264x+4682, where x is the number o

ahrayia [7]

Answer:

Missing co-ordinate for the ordered pair is $(7,2834)$

Y-intercept is $(0,4682)$

X-intercept is $(17.73,0)$

Step-by-step explanation:

The number of a certain company's video stores can be approximated by the linear equation

$y= -264\ x+4682$

where $y$ is the number of stores and $x$ represents the number of years after 1990.

To find the missing co-ordinate for the ordered pair solution $(7,?)$

For the ordered pair, we are given the $x$ value which is =7 i.e 7 years after 1990. Thus we will plugin $x=7$ in the linear equation to get the $y$ value which is number of stores after 7 years from 1990.

$y= -264\ (7)+4682$

$y= -1848+4682$

$y= 2834$

Thus the ordered pair is $(7,2834)$

To find y-intercept which is the point where the line touches the y-axis, we would plugin $x=0$ in the equation as the x-coordinate is 0 at y-axis.

$y= -264\ (0)+4682$

$y= 0+4682$

$y=4682$

Thus y-intercept is at point $(0,4682)$

To find x-intercept which is the point where the line touches the x-axis, we would plugin $y=0$ in the equation as the y-coordinate is 0 at x-axis and thus for $x$

$0= -264\ x+4682$

Subtracting both sides by 4682.

$0-4682= -264\ x+4682-4682$

$-4682= -264\ x$

Dividing both sides by -264

$\frac{-4682}{-264}= \frac{-264\ x}{-264}$

$17.73= x$

∴ $x=17.73$

Thus x-intercept is at point $(17.73,0)$

5 0

3 years ago

PLEASE HELP! DUE TONIGHT! The table of ordered pairs shows a the coordinates of the two points on the graph of a line.

erastova [34]

You would graph the two lines. Then use Y=mX+b
10=5/4(4)+b 5/4 is the slope or distance between the two lines.
solve for b
10=5+b
-5
5=b
Y=5/4X+5 would be your answer

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3 years ago

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yuradex [85]

16cup of soup.
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3 0

3 years ago

Read 2 more answers

Help plz 25 points If you comment but Its not a answer im going to report u

WARRIOR [948]

1. 2
2. 1
3. 6
I'll post the rest in the comments

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3 years ago