Answer:
800 cm³
Step-by-step explanation:
The volume is the product of the base area and the "height" of the prism. Here, the base can be considered to be a 10 cm × 12 cm rectangle with a 4 cm × 5 cm cutout. Its area will be ...
A = (10 cm)(12 cm) -(4 cm)(5 cm) = 120 cm² -20 cm² = 100 cm²
The product of this base area and the 8 cm height of the prism is ...
V = Bh = (100 cm²)(8 cm) = 800 cm³
The volume of the prism is 800 cm³.
If the drawing of your octagon (or whatever) has been separated into triangles, and one triangle's area<span> is labeled, then you do not need to know the apothem. Just take the </span>area<span> of that one triangle, and multiply by the number of sides in the original </span>polygon<span>.</span>
Since your scale is 1ft:1.26cm, a 30-ft tall school would need to have a

cm model. Dividing this by how tall each toothpick is, you'll get:
ANSWER: The model would be 6 toothpicks tall.
To find out how many cotton swabs you'll need, we just divide 37.8 by how tall each swab is:
ANSWER: The model would be 5 cotton swabs tall.
We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is
. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is
, where,
A = Amplitude,
= Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is
. Since function is reflected about x-axis, so our function will be
.
Let us find the value of b.




Upon substituting our given values in general cosine function, we will get:

Therefore, our required function would be
.