Answer:
The answer to your question is 23.2 ft
Step-by-step explanation:
Data
length square pyramid = 10 ft
width of a cube = 6 ft
height of the pyramid = ?
The surface area is equal in both figures.
Formula
Surface area of a cube = 6a²
Surface area of a square pyramid = ab + al = l x l + (l x h) /2
Process
1.- Calculate the surface area of the cube
Ac = 6(6)² = 6(36)
= 216 ft²
2.- Substitute data in the square pyramid formula
Ap = (10 x 10) + (10h)/2
3.- Equal both areas
216 = 100 + 5h
- Solve for h
216 - 100 = 5h
116 = 5h
h = 116 / 5
- Result
h = 23.2 ft
The 36% of 50
The answer is 18
Answer: 3/2
Explanation:
3x/2x-6 + 9/6-2x
= 3x/2x-6 + 9/-(2x+6)
= 3x/2x-6 + -9/2x-6
= 3x/2x-6 - 9/2x-6
= 3x - 9/2x-6
= 3(x-3)/2(x-3) (cancel out x-3)
= 3/2
Answer:
Its the symbol "pi" which is 3.14
Answer: y = 7.5
Step-by-step explanation:
Suppose that y varies directly with x
That is, y∝x
Convert y∝x to a full equation by introducing a constant k to the right hand side.
Therefore, y = kx
Given that y = 10 and x = 20
Substitute y and x in the equation above. We have;
10 = k(20)
10 = 20k
20k = 10
k = 10/20
k = 0.5
Since k = 0.5, the equation y = kx becomes y = 0.5x
Now, to find y if x = 15, substitute x in equation y = 0.5x
Therefore, y = 0.5(15)
y = 7.5