Answer:
Step-by-step explanation:
The general formula of a pyramid with any base is 1/3 bh where b is the area of the base and h is the height. In this case, the height of the pyramid is said to be twice the height of the prism, h. Hence the area becomes 1/3 b*2h or equal to option A. 2/3 bh
Answer: the width of the uniform path is 9 meters.
Step-by-step explanation:
Let x represent the width of the uniform path.
A pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. It means that the combined length of the pool and the uniform path is (18 + 2x) meters and the combined width of the pool and the uniform path is (22 + 2x) meters.
If the area of the pool and the path combined is 1440 square meters, it means that
(18 + 2x)(22 + 2x) = 1440
396 + 36x + 44x + 4x² = 1440
4x² + 80x + 396 - 1440 = 0
4x² + 80x - 1044 = 0
Dividing both sides of the equation by 4, it becomes
x² + 20x - 261 = 0
x² + 29x - 9x - 261 = 0
x(x + 29) - 9(x + 29) = 0
x - 9 = 0 or x + 29 = 0
x = 9 or x = 29
Since the width cannot be negative, then x = 9 meters
Answer:
22cm,24cm,24cm
Step-by-step explanation:
Let us call one of the other sides x
the shortest side = 2x-26
in an isosceles, 2 sides are equal (x in this case)
so we now have sides of x,x and 2x-26
form an eqution from this.
4x-26=70
4x=96
x=24
24 x 2 = 48 - 26 = 22
thus, the shortest side is 22cm and the other sides are both 24cm
Answer:
3^12
Step-by-step explanation:
(3^3/4(2) - 3/8) ^4/9
(3^6/8-3/8)^4/9
(3^3/8)^4/9
3^3/8(4/9)
3^27/72(32/72)
3^864/72
3^12
Sorry if it's hard to read...
