What is the total number of digits required in numbering the pages of a book, which has 1,724 pages?
2 answers:
Answer:
5789 digits
Step-by-step explanation:
Given that the number of pages ares: 1,724
As we know that:
- (from 1 - 9) there are 9 one-digit numbers
- (from 10- 99) there are 90 two-digit numbers
- (from 100 - 999) there are 900 three-digit numbers
- (from 1,000 - 1,724) there are 725 four-digit numbers
So the total are:
You might be interested in
Answer:
a) The length of its edge is 8 units.
b) The volume of the sphere is approximately 268.083 cubic units.
c) The fraction of the cube that is taken up by the sphere is 0.524, whose equivalent in percentage form is 52.4 %.
Step-by-step explanation:
a) The volume of a cube (), measured in cubic units, is defined by the following expression:
(1)
Where is the side length of the cube, measured in units.
If we know that , then the length of its edge is:
The length of its edge is 8 units.
b) The volume of a sphere (), measured in cubic units, that fits snugly inside this cube is defined by:
(2)
If we know that , then the volume of the sphere is:
The volume of the sphere is approximately 268.083 cubic units.
c) The fraction of the cube taken by the sphere is the ratio of the volume of the sphere to the volume of the cube. That is to say:
If we know that and
, then the fraction of the cube that is taken up by the sphere is:
The result in percentage form is calculated by multiplying the result above by 100.
The fraction of the cube that is taken up by the sphere is 0.524, whose equivalent in percentage form is 52.4 %.
Answer:
➳ <u>Inertia</u><u> </u>refers to the tendency to do nothing or to remain unchanged in its state of motion or rest unless an external unbalanced force acts on it (Newton's third law of motion - also known as the Law of Inertia)