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mezya [45]
3 years ago
15

Find the distance between the points (3, 8) and (-1, 9).

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
4 0
---------------------------------------------------
Formula
---------------------------------------------------
\text {Distance } =  \sqrt{ (X_1-X2)^{2} + (Y_1-Y_2)^{2} }

---------------------------------------------------
Find the distance
---------------------------------------------------
Given the point (3, 8) and (-1, 9)

\text {Distance } =  \sqrt{ (3-(-1))^{2} + (8 - 9)^{2} }

\text {Distance } =  \sqrt{(4)^{2} + (-1)^{2} }

\text {Distance } =  \sqrt{16+ 1 }

\text {Distance } =  \sqrt{17 }

\text {Distance } = 4.12 \ units


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3 years ago
A rectangular prism has a length of 8 in., a width of 4 in., and a height of 214 in.
Ivan

For this case we have that by definition, the volume of a rectangular prism is given by:

V = A_ {b} * h

Where:

A_ {b}: It is the area of the base

h: It is the height

So:

A_ {b} = 8 * 4 = 32 \ in ^ 2\\h = 214 \ in

The volume of the prism is:

V = 32 * 214 = 6848 \ in ^ 3

Now, the volume of the cubes is:

V = (14) ^ 3 = 2744 \ in ^ 3

Thus, we divide and find the number of cubes to fill the prism:

n = \frac {6848 \ in ^ 3} {2744 \ in ^ 3}\\n = 2.5

ANswer:

n = 2.5

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