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
Answer:
n = 10
Step-by-step explanation:
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Answer:
No, it is not a right triangle.
Step-by-step explanation:
Using the property of the right triangle, square root (5^2 + 10^2) = 5root(5), and it is not equal to 15, so it is not a right triangle.
Answer:
1) y = 2/3x - 2
2) y = -1/2x + 3
Step-by-step explanation:
1) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.
y = 2/3x + c
0 = 2/3(3) + c
0 = 2 + c
0 - 2 = c
- 2 = c
Therefore, the slope-intercept form for the first part is y = 2/3x - 2.
2) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.
y = -1/2x + c
1 = -1/2(4) + c
1 = -2 + c
1 + 2 = c
3 = c
Therefore, the slope-intercept form for the second part is y = -1/2x + 3.
Answer:
12 1/4
Step-by-step explanation:
You would first add the fractions which will get you 5/4. then you will add the whole numbers which will get you 11. Then there is a extra number in 5/4 so you can tranfer it to the whole number which will become... 12 and then you will be left with 12 1/4
