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Serggg [28]
3 years ago
10

Find the volume of the triangular prism. Round to 1 decimal place

Mathematics
2 answers:
aleksley [76]3 years ago
5 0

Answer:

 =579.1 cm^3

Step-by-step explanation:

V = Bh

We need to find the area of the base

The base is the triangle

B = 1/2 bh

We can find the length of the bottom by using the Pythagorean theorem

a^2 + b^2 = c^2

9^2 + b^2 = 14^2

b^2 = 14^2 - 9^2

b^2 = 115

Taking the square root

b = sqrt(115)

B = 1/2 bh

   =1/2 sqrt(115) *9

B =48.25712383

V = Bh

V = 48.25712383 * 12

   =579.0854859

To the nearest tenth

   =579.1 cm^3

AveGali [126]3 years ago
4 0

Answer:

579.1 cm^3

Step-by-step explanation:

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<u><em>Answer:</em></u>

D' ..................> (-2,2)

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<u>Before we begin, we should remember the rotation rules:</u>

<u>1- Rotation 90° clockwise:</u>

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<u>2- Rotation 90° counter clockwise:</u>

Coordinates (x,y) become (-y,x)

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Original coordinates of point D are (2,2)

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Rotation 180° clockwise means that the new coordinates will be (-x,-y) which is (4,-2)

<u>4- Coordinates of B'' if polygon ABCD rotates 270° counter clockwise to create A''B''C''D''</u>

Original coordinates of point B are (-2,4)

Rotation 270° counter clockwise means that the new coordinates will be (y,-x) which is (4,2)

Hope this helps :)

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