This is not possible. If you add an odd number of odd numbers, you will get an odd number. If you add an even number of odd numbers, you will get an even number. 5 is an odd number, but 32 is an even number, so therefore it is not possible.
Answer:
2 1/4
Step-by-step explanation:
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
Answer:
x + y = 112.5°
Step-by-step explanation:
Step 1 : To find x:
Number of sides in a given regular polygon, n = 8
Each of the angles around a point is xº because given is a regular polygon.
Sum of all the angles of around a point is 360°.
⇒ 8x = 360°
Step 2: To find y:
One interior angle of a regular polygon =
In the given figure, each interior angle is divided by a bisector.
Step 3: Add x+ y
x + y = 112.5°
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