The volume of the pyramid is 2496 cu.m.
<h3>What is a Pyramid ?</h3>
A pyramid is a three dimensional structure which has a polygon base and in general triangular faces which join at the top .
It is given that
A pyramid
has a 4 m by 4 m square top
Height = 12 m
Base = 20 m
The volume of a square pyramid with a
is given by
V = (1/2) * ( Area of base + Area of
) * height of the
from the base
V = 0.5 * ( 20 *20 + 4*4 ) * 12
V = 2496 cu.m
The volume of the pyramid is 2496 cu.m.
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Answer:
E
Step-by-step explanation:
Let's say if b = -2 and c = -3
-2-(-3) = 1 that would be the distance between them. If it was D then you would need absolute value.
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Answer: OPTION C.
Step-by-step explanation:
It is important to know the following:
<u> Dilation:</u>
- Transformation in which the image has the same shape as the pre-image, but the size changes.
- Dilation preserves betweenness of points.
- Angle measures do not change.
<u>Translation:</u>
- Transformation in which the image is the same size and shape as the pre-image.
- Translation preserves betweenness of points.
- Angle measures do not change.
Therefore, since the Square T was translated and then dilated to create Square T'', we can conclude that the statement that explains why they are similar is:
<em>Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.</em>
Answer:
The slope is 2
Explanation:
The equation is written in y=mx+b
M would always be the slope and b the y intercept
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Considering the period of the cosine function, it is found that it takes 40 seconds for the wheel to complete one turn.
<h3>What is the period of the cosine function?</h3>
The cosine function is defined by:
f(x) = acos(bx + c) + d.
For the period, we have to look at coefficient b, and the period is:
P = 2π/|B|
For this problem, the function is given by:
h(x) = 15 cos(π/20)
Hence B = π/20, and the period is:
P = 2π/|B| = 2π/(π/20) = 2 x 20 = 40 seconds.
Hence it takes 40 seconds for the wheel to complete one turn.
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