Answer:
The volume of the prism is 576 cubic feet
Step-by-step explanation:
Length of rectangular prism = 8 feet
Width of rectangular prism = 6 feet
Height of rectangular prism = 12 feet
Volume of rectangular prism =
Volume of rectangular prism =
Volume of rectangular prism =
Hence the volume of the prism is 576 cubic feet
Answer:
275 ft³
Step-by-step explanation:
Given the ratio of radii of 2 similar figures = a : b , then
ratio of volumes = a³ : b³
Here the ratio of radii = 5 : 2 , so
ratio of volumes = 5³ : 2³ = 125 : 8
Calculate the volume (V) of A using proportion
=
=
( cross- multiply )
V = 275 ft³
That is the volume of figure A = 275 ft³
Answer:
Yes the area of the square rug is 8 while the area of the room is 10
. The area of the room is bigger so the rug can lay falat.
Step-by-step explanation:
The value of the cosine function is -0.385
<h3>How to determine the measure of the cosine function?</h3>The figure that completes the question is added as an attachment
From the figure, we have the following sides
AB = √13
AC = 3
BC = 2
The triangle is a right triangle.
The angle B is calculated as:
cos(B) = 2/√13
Evaluate
cos(B) = 0.5547
Take the arccos of both sides
B = 56.31
This means that:
cos(ABC) = cos(56.31)
Multiply ABC by 2.
So, we have:
cos(ABC * 2) = cos(56.31 * 2)
Evaluate the product
cos(ABC * 2) = cos(112.62)
Evaluate the cosine
cos(ABC * 2) = -0.385
Hence, the value of the cosine function is -0.385
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