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4 years ago

the surface area of a triangular prism pictured below is 204 square cm what is the height of the prism? 9cm, 16cm, 12cm, 22cm

Mathematics

1 answer:

irina1246 [14]4 years ago

4 0

The two triangular ends have area (3 cm)*(4 cm) = 12 cm^2, so the area of the rectangular faces is (204 -12) cm^2 = 192 cm^2. The sum of lengths of those rectangular faces is (3 cm +4 cm +5 cm) = 12 cm, so the width is given by
.. 192 cm^2 = (12 cm)*x
.. (192 cm^2)/(12 cm) = 16 cm = x

The 2nd selection is appropriate.

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Explain the simplified form of 3abc/abc when abc doesn't equal zero?

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Answer:

x =6.0

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Step-by-step explanation:

We can use the pythagorean theorem

a^2 + b^2 = c^2

(6x)^2 +(3x)^2 = 40^2

36x^2 + 9x^2 = 1600

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3 years ago

Read 2 more answers

I need help is for geometry

emmainna [20.7K]

Answers:
mAE = 78°
mABD = 206°
mDA = 154°
mBCE = 255°
mECA = 282°
--------------------------------------------
Explanation:
The total arc measure of a circle is 360.

This circle shows that mDE has the same arc as mDC. mDC's arc will equal 76.

To find mAE, add all the known arc values, set mAE to x, and set the equation equal to 360.

$27 + 103 + 76 + 76 + x = 360$

Combine all like terms.

$27 + 103 = 130$
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$282 + x = 360$

Subtract 360 from both sides to get x by itself.

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$76 + 78 = 154$

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$103 + 76 + 76 = 179 + 76 = 255$

mBCE = 255°

mECA = mED + mDC + mCB + mBA

$76 + 76 + 103 + 27 = 152 + 130 = 282$

mECA = 282°

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3 years ago

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Step-by-step explanation:

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