Answer:
Area: A = 42x - 49
Step-by-step explanation:
Area of rectangle = L * W
Plug in
A = 7 * (6x - 7)
A = 42x - 49
Given:
The diameter of cylinder is 6 in and the height of the cylinder is 8 in.
The dimensions of the cuboid are 15 in by 9 in by 9 in.
To find:
The volume of the composite figure.
Solution:
Volume of a cuboid is:



So, the volume of the cuboid is 1215 cubic inches.
The diameter of cylinder is 6 in. So, the radius of the cylinder is:

Volume of a cylinder is:

Where, r is the radius and h is the height.
Substituting
, we get



The volume of the cylinder is 226.08 cubic inches.
Now, the volume of the composite figure is:



Therefore, the volume of the composite figure is 1441.08 cubic inches.
Question:
Find the sum of the first six terms of a geometric progression.
1,3,9,....
Answer:

Step-by-step explanation:
For a geometric progression, the sum of n terms is:

In the given sequence:



So:





Answer:
hmmmm
Step-by-step explanation: