Answer:
I tried my best to explain it, hope it helps!
Step-by-step explanation:
Answer:
72 is the least common multiple
Step-by-step explanation:
The first one is the multiples of 9 and the second one is of 8
The only one they have in common is the number 72
When you use the Distributive Property you're really just multiplying the number on the outside by all of the numbers on the inside of the parentheses.
(8 - 3p) (-2) Multiply -2 by 8 and -3p
-2(8) + (-2)(-3p) Multiply
-16 + 6p
Answer:
(a) 12.96 ft²
(b) 21.5 in²
Step-by-step explanation:
(a) For the first diagram
Area of the shaded region (A) = Area of Tripezium- area of circle
A = [1/2(a+b)h]-[πr²]............... Equation 1
Where a and b are the parallel side of the tripezium respectively, h = height of the tripezium, r = radius of the circle.
From the diagram,
Given: a = 15 ft, b = 6 ft, h = 12 ft, r = h/2 = 12/2 = 6 ft.
Constant: π = 3.14
Substitute these values into equation 1
A = [12(15+6)/2]-(3.14×6²)
A = 126-113.04
A = 12.96 ft²
(b) For the second diagram,
Area of the shaded region (A') = Area of square- area of circle
A' = (L²)-(πr²)............. Equation 2
Where L = lenght of one side of the square, r = radius of the circle
From the diagram,
Given: L = 2r = (2×5) = 10 in, r = 5 in
Substitute these values into equation 2
A' = (10²)-(3.14×5²)
A' = 100-78.5
A = 21.5 in²
