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).
Given:
The function f represents the diver's distance from sea level over time, in seconds.
To find:
The correct statement for the domain.
Solution:
Domain is the set of input values for which the function is defined.
Here, x values are the input values and they represent time intervals on which the function is defined
Here, the possible intervals for x are .
Therefore, the domain is the time interval (−9, 7). Hence the correct option is A.