Answer:
8 inches.
Step-by-step explanation:
From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.
Ab = s ^ 2 = 100
Therefore each side would be:
s = (100) ^ (1/2)
s = 10
So, side of the square base = 10 inches
Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:
Ap = 520/2 = 260
For an area of the square pyramid we have the following equation:
Ap = 2 * x * s + s ^ 2
Where x is the height of each triangular surface and s is the side of the square base
Replacing we have:
260 = 2 * x * 10 + 10 ^ 2
20 * x + 100 = 260
20 * x = 160
x = 160/20
x = 8
Therefore, the value of x is 8 inches.
The answer to number 11 is 136.5
Answer:
430
Step-by-step explanation:
To find the area, use the area for a parallelogram formula:
A = bh, where A is the area, b is the length of the base, and c is the height of the parallelogram.
Next, substitute the values of the base and height:
A = 20in. * 21.5 in.
Finally, simplify the multiplication:
A = 430
The formula for finding the length is

All we have to do is plug in the numbers.

36 + 64 = 100
Since 100 =

we have to find the square root.

The length of the slide is 10 feet.