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Andreyy89
3 years ago
14

Is anyone able to help me?

Mathematics
1 answer:
bogdanovich [222]3 years ago
7 0

Answer:

The volume of this triangular prism is 20cm^{3}

Step-by-step explanation:

Just like it is shown in the picture we can use the formula for the volume of a triangular prism.

V = \frac{1}{2}bhl

In our case b = 5cm, h = 2 cm, l = 4cm. Now we just plug in the values and get...

V = \frac{1}{2}bhl\\\\

V = \frac{1}{2}(5)(2)(4)

V = 20cm^{3}

Therefore the volume of the triangular prism is 20cm^{3}.

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Answer: Choice C

x/w and z/(y+v)

======================================================

Explanation:

All answer choices have that first fraction with a denominator of w. This implies that AB = w is the hypotenuse. This only applies to triangle ABD.

Focus on triangle ABD. It has an opposite leg of AD = x, when the reference angle is ABD (or angle B for short).

So we can say sin(ABD) = opposite/hypotenuse = AD/AB = x/w

x/w is one of the answers

-----------

Also note how y+v is the same for each denominator in the second fraction. y+v is the hypotenuse of triangle ABC. When the reference angle is ABD (aka angle ABC), the opposite side of this same triangle is AX = z

Therefore,

sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)

z/(y+v) is the other answer

Side note: triangle ACD is not used at all.

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