Answer:
Total volume of the figure = 1067 cm³
Step-by-step explanation:
Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid
Volume of the rectangular prism = Length × Width × Height
= 10 × 10 × 7
= 700 cm³
Volume of the square pyramid =
= × height
=
= 366.67 cm³
Total volume of the composite figure = 700 + 366.67 = 1066.67 cm³
≈ 1067 cm³
Answer:
.
Step-by-step explanation:
From Mathematics we remember that the domain of a functions corresponds to the set of values of the independent variable ( in this case) so that images exist and the range of a function is the set of images.
In this case, we know the domain and range of and we must find the domain and range of
.
Domain
The domain of is the domain of
. That is,
.
Range
We have to define the bounds of the range of , given that range
is modified by streching and horizontal translation operations:
Lower bound ()
Upper bound ()
In consequence, the range of is