3 years ago

HELP ME PLEASE PLEASE IM BEGGING

Mathematics

1 answer:

In-s [12.5K]3 years ago

6 0

It’s B if there straight lines and A If they are dot it lines

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Find the volume of a trough 5 meters long whose ends are equilateral triangles, each of whose

yawa3891 [41]

Answer:

$V=5\sqrt{3}\ m^3$

Step-by-step explanation:

we know that

The volume of a trough is equal to

$V=BL$

where

B is the area of equilateral triangle

L is the length of a trough

step 1

Find the area of equilateral triangle B

The area of a equilateral triangle applying the law of sines is equal to

$B=\frac{1}{2} b^{2} sin(60\°)$

where

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substitute

$B=\frac{1}{2}(2)^{2} (\frac{\sqrt{3}}{2})$

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step 2

Find the volume of a trough

$V=BL$

we have

$B=\sqrt{3}\ m^{2}$

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substitute

$V=(\sqrt{3})(5)$

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