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dusya [7]
3 years ago
9

In a 30° - 60° - 90° right triangle, the hypotenuse has a length of 8. what is the length of the longer leg?

Mathematics
1 answer:
Tatiana [17]3 years ago
5 0
Sin 30° = 1/2 = x/8
then x = 4

sin 60° = √3/2 = y/8
then y = 4√3

so the length of the longer leg is 4√3
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A rectangular tank has length 4m, width 12m and height 3.5..i. If the tank is filled with water 2/3 of its capacity ,calculate t
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The volume of the water in the tank is 112 m³

Step-by-step explanation:

The volume of the rectangular prism V = L × W × H, where

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  • W is its width
  • H is its height

∵ A rectangular tank has a length of 4 m, a width of 12 m, and

   a height of 3.5 m

∴ L = 4 m

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∵ The tank is filled with water  \frac{2}{3} of its capacity

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∵ The volume of the water = \frac{2}{3} the volume of the tank

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