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Talja [164]
3 years ago
13

Find the volume of the oblique rectangular prism with length 8 cm, width 7 cm, and height 9 cm.

Mathematics
1 answer:
KengaRu [80]3 years ago
7 0

Answer:

48

Step-by-step explanation:

2 x 8 + 2 x 7 + 2 x 9 = 48

HOPE IT HELPS!!!!

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Prove<br><br> that BUGS is a trapezoid with coordinates B(-2,-1), U(0,3), G(3,2) and S(4,-3).
telo118 [61]

Answer:

Proved

Step-by-step explanation:

Given

B =(-2,-1)

U = (0,3)

G = (3,2)

S = (4,-3)

Required

Prove BUGS is a trapezoid

Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.

<u></u>

<u>Taking BU and GS as a pair</u>

First, we calculate the slope using:

m = \frac{y_2 - y_1}{x_2 - x_1}

For BU

B =(-2,-1) --- (x_1,y_1)

U = (0,3) --- (x_2,y_2)

So, we have:

m = \frac{3 - -1}{0- -2}

m = \frac{4}{2}

m = 2

For GS

G = (3,2) --- (x_1,y_1)

S = (4,-3) --- (x_2,y_2)

So, we have:

m = \frac{-3-2}{4-3}

m = \frac{-5}{1}

m = -5

<em>The slope of BU and GS are not the same; hence, they are not parallel.</em>

<u>Taking BS and GU as a pair</u>

Calculate the slope

For BS

B =(-2,-1) --- (x_1,y_1)

S = (4,-3) --- (x_2,y_2)

So, we have:

m = \frac{-3 - -1}{4- -2}

m = \frac{-2}{6}

m = -\frac{1}{3}

For GU

G = (3,2) --- (x_1,y_1)

U = (0,3) --- (x_2,y_2)

So, we have:

m = \frac{3-2}{0-3}

m = \frac{1}{-3}

m = -\frac{1}{3}

The slope of BS and GU are the same; hence, they are parallel.

<em>BUGS is a trapezoid because BS and GU have the same slope</em>

8 0
3 years ago
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Answer: 42

Explanation:

120 x .35 = 42

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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(4a² -2b)/4
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