Answer:
Step-by-step explanation:
We have to write 243 as a power of some number.
So, if we factorize 243 we get,
243 = 3 × 3 × 3 × 3 × 3
Therefore, we can write 243 as a power of 3.
No other number can be written in powers of 243 because it do not contain any other factor than 3.
Hence, 243 can be written as :
Option C:
Area of the remaining paper = (3x – 4)(3x + 4) square centimeter
Solution:
Area of the square paper = sq. cm
Area of the square corner removed = 16 sq. cm
Let us find the area of the remaining paper.
Area of the remaining paper = Area of the square paper – Area of the corner
Area of the remaining =
=
Using algebraic formula:
Area of the remaining paper = (3x – 4)(3x + 4) square centimeter
Hence (3x – 4)(3x + 4) represents area of the remaining paper in square centimeters.
Answer:
See explanation
Step-by-step explanation:
Theorem 1: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.
Theorem 2: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.
1. Start point: By the 1st theorem,
2. South-East point from the Start: By the 2nd theorem,
3. West point from the previous: By the 2nd theorem,
4. West point from the previous: By the 1st theorem,
5. West point from the previous: By the 2nd theorem,
6. North point from the previous: By the 1st theorem,
7. East point from the previous: By the 2nd theorem,
8. North point from the previous: By the 1st theorem,
8. West point from the previous: By the 2nd theorem,
9. North point from the previous: By the 1st theorem,
101. East point from the previous: By the 1st theorem,
11. East point from the previous: By the 2nd theorem,
12. South-east point from the previous: By the 2nd theorem,
13. North point=The end.
