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bija089 [108]
2 years ago
9

The bases of a right prism are rhombii, each with area A = 44cm2. The height of the prism is h = 2.3dm. Find the volume, V, of t

he prism.
Mathematics
2 answers:
Natali [406]2 years ago
6 0

Step-by-step explanation:

did you make a typo, or do you actually mean dm ?

1 dm = 10 cm

in any case, in a right prism object it does not matter what shape the bases are.

the volume is always

base area × height

so, if you did not make a typo, then

height = 2.3 dm = 23 cm

and the volume of the prism is

44 × 23 = 1012 cm³

but if you did make a typo and

height = 2.3 cm,

then the volume of the prism is

44 × 2.3 = 101.2 cm³

ArbitrLikvidat [17]2 years ago
6 0

Answer:

1012 centimeters cubed

Step-by-step explanation:

Volume=base x length x width

height = 2.3 dm, which is 23 cm, so the volume of the prism would be 44 × 23 = 1012 cm cubed

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Let's convert (4, 16°) to Cartesian coordinates.

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sine = oppsite / hypotenuse
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Let's convert (-2, 177°)  to Cartesian coordinates.
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In that case, we can essentially add 180° to our current 177° to the same effect. That means that (-2, 177°) = (2, 357°).

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cosine = adjacent / hypotenuse
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sine = opposite / hypotenuse
sinθ = y/r
sin(357°) = y/2
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So (-2, 177°) ⇒ (1.99725906951, -0.10467191248).

Now we must use the distance formula with our two points.
d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
d\approx\sqrt{(1.99725906951-3.84504678375)^2+(-0.10467191248-1.10254942327)^2}
d\approx\sqrt{-1.84778771^2+-1.20722134^2}
d\approx\sqrt{3.41431942+1.45738336}
d\approx\sqrt{4.87170278}
\boxed{d\approx2.20719342}

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