Given:
The base of the prism is a right triangle with legs 1 m and 2 m.
The height of the prism is 17 m.
To find:
The volume of the given prism.
Solution:
The area of a triangle is:
So, the area of base of the prism is:
Now, the volume of the prism is:
Where, B is the base area and h is the height of the prism.
Substituting 
, we get
The volume of the prism is 17 cubic m. Therefore, the correct option is (d).
<h3>
Answer: Movie B</h3>
Range = max - min
Visually the min and max are the leftmost and right most points on the whiskers. This is assuming we don't have outliers in either direction. The range represents the total width of the box and whisker plot. For movie B, it is wider, so therefore it has a larger range of ages.
We could compute the ranges numerically and compare to see which is bigger, or we could align one endpoint (say the right endpoints) to see that movie B has a wider range.
Step-by-step explanation:
214
x12
--------
428
+2140
————
2568
Our basis for this equality is the pythagorean theorems of trigonometry. There are three equations for the pythagorean theorems. These are:
sin²x + cos²x =1
1 + tan²x = sec² x
1 + cot² x = csc² x
These are all derived from circle geometry on the cartesian plane. Now, the useful trigonometric property to be used is the third one. Rearranging this, we come up with
cot²x - csc²x = -1
This coincided with the given equation. Therefore, this is true. This is because it is already established from the pythagorean theorems.
