Answer:
310 inches²
Step-by-step explanation:
Given: A rectangular prism cage has a height of 28 inches.
Volume of prism is 8680 cubic inches.
We know the area of base of rectangular prism is equal to the area of rectangle.
∴ Lets find out the lenght and width of rectangular prism.
Volume of rectangular prism=
Where, w is width
l is length
h is height.
Now, putting the value in the formula of volume.
⇒
cross multiplying
⇒
∴ wl= 310 inches²
As we need to find the area of the plastic mat on the bottom of the cage, which is rectangle in shape.
Area of rectangle=
∴ Area of rectangle= 310 inches²
Hence, 310 inches² is the area of the plastic mat on the bottom of the cage.
Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:
The identity that relates the sine squared and the cosine squared of the angle, as follows:
In this problem, we have that the sine is given by:
Hence, applying the identity, the cosine is given as follows:
The tangent is given by the sine divided by the cosine, hence:
More can be learned about trigonometric identities at brainly.com/question/24496175
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