When you see questions with dirrerent scales, find the scale factor first.
Scale factor
= A ÷ A’ = 12 ÷ 4 = 3
Larger flag perimeter = 3 × 16 = 48 units
Answer:
Step-by-step explanation:
The word "difference" represents a subtraction. Then the algebraic expression will be of the form a-b.
Now, the difference is between the cube of a number and the square of the number, then let's call the number x. The square of the number is raise to two. Then the square of the number is 
.
The cube of the number is raise to three. Then the cube of the number is 
.
So, the difference between the cube of a number and the square of the number (we are talking about the same number in the square and the cube) is 
.
A) You divide the previous number in the sequence with 6. (31104/6 = 5184, 5184/6 = 864). Follow this pattern and you can easy find the rest.
b) You divide the previous number by 2. (14/2 = 7, 7/2=7/2)... and so on
Solution: For finding QR we need to apply Pythagoras Theorem
What is Pythagoras Theorem ?
ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°
According to this law let's apply it in the diagram shown here.
- (Hypotenuse)² = (Adjacent)² + (Opposite)²
- (5x - 2)² = (QR)² + (3x - 1)²
- (QR)² = (5x - 2)² - (3x - 1)²
After factorising both of them we get
- (QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)
- (QR)² = 25x² - 20x + 4 - 9x² + 6x - 1
So, QR is √(16x² - 14x + 3)
