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3 years ago

Find the volume of the composite solid.

Mathematics

1 answer:

erik [133]3 years ago

8 0

Answer:

Equal.

Step-by-step explanation:

The volume of the rectangular prism is:

V = length x width x height

V = 3a x 2b x c

V = 6abc

The volume of the pyramid is:

V = (base area x height)/3

V = (a x b x 18c)/3

V = 18abc/3

V = 6abc

The two volumes are equal.

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PLEASE HELP!!

PSYCHO15rus [73]

Answer:

The bird is approximately 9 ft high up in the tree

Explanation:

The required diagram is shown in the attached image

Note that the tree, the cat and the ground form a right-angled triangle

Therefore, we can apply special trigonometric functions

These functions are as follows:

$sin(\alpha)=\frac{opposite}{hypotenuse} \\ \\ cos(\alpha)=\frac{adjacent}{hypotenuse} \\ \\tan(\alpha)=\frac{opposite}{adjacent}$

Now, taking a look at our diagram, we can note the following:

α = 25°

The opposite side is the required height (x)

The adjacent side is the distance between the cat and the tree = 20 ft

Therefore, we can use the tan function

This is done as follows:

$tan(\alpha)=\frac{opposite}{adjacent}\\ \\ tan(25)=\frac{x}{20}\\ \\x=20tan(25) = 9. 32 ft$ which is 9 ft approximated to the nearest ft

Hope this helps :)

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