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Verdich [7]
3 years ago
14

A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The

diagonals of each rhombus measure 6 and 8 units.What is the volume of the prism? 192 cubic units 200 cubic units 384 cubic units 400 cubic units
Mathematics
2 answers:
umka21 [38]3 years ago
5 0
384 cubic units is the answer.
IRISSAK [1]3 years ago
5 0

Answer:

The answer is 384 cubic units

Step-by-step explanation:

The volume can be calculated multiplying the area of the rhombus by the height of the prism:

V = Ar*H*p

Then the area of the rhombus can be obtained as:

Ar = D*d/2

Here D and d are the rhombus's diagonal. Replacing the values for the diagonals:

Ar = 8*6/2 = 24

Where the area is expressed in square units. Evaluating the area and the height in volume's formula:

V = 24 * 16 = 384  

The volume calculated in cubic units

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Answer:

sin^2x+cos^2x=1 is used to prove the given equation.

Step-by-step explanation:

We have given an equation:

sinx\cdot cosx\cdot tanx=1-cos^2x

We will consider right hand side first

tan x can be written as:

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Cancel common term from denominator and numerator which is cosx we get

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And we have an identity:

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Step-by-step explanation:

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Answer:

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