Count the amount of digits from right to left:
The digit 5 appears at the eighth position.
Remember that the 7th position is for millions. So, the eighth position is for ten millions.
Therefore, the place where the digit 5 sits in the number 952,832,744 is ten millions.
Answer:
see explanation
Step-by-step explanation:
let pq = x
given oq - pq = 1 then oq = 1 + x
Using Pythagoras' identity, then
(oq)² = 7² + x²
(1 + x)² = 49 + x² ( expand left side )
1 + 2x + x² = 49 + x² ( subtract 1 from both sides )
2x + x² = 48 + x² ( subtract x² from both sides )
2x = 48 ( divide both sides by 2 )
x = 24 ⇒ pq = 24
and oq = 1 + x = 1 + 24 = 25 ← hypotenuse
sinq = =
cosq = =
Given:
The area of the squares are given.
To find:
The exact side length or estimate side length of the square.
Solution:
We know that, the area of a square is
Where, a is the side length of the square.
Area of the square is 100 square units. So, the side length is:
Therefore, the side length is 10 units.
Area of the square is 95 square units. So, the side length is:
It is not exact. We know that .
Therefore, the side length is between 9 and 10.
Area of the square is 36 square units. So, the side length is:
Therefore, the side length is 6 units.
Area of the square is 30 square units. So, the side length is:
It is not exact. We know that .
Therefore, the side length is between 5 and 6.