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.
Answer:
it is b
Step-by-step explanation:
dam gurll, how many questions u gon' ask
If I did this correctly all you hade to do is work in reverse.
1.) Divide 16 by pi (3.14) To get the diameter.16/ 3.14 =5.095541401 or 5.1
2.) Since Diameter is just the radius doubled divide 5.1 by 2. 5.1 /2 = 2.55
3.) Plug it in, use the 2pir equation to see if it works. 2X3.14X2.55= 16.014 or 16.
I hope this helps, let me know if you need further explanation.
Answer:
square units
Step-by-step explanation:
To predict the area of the piece of paper after 5 tears we can use a geometric sequence.
Each time a piece is torn, half of the previous area is lost. If the area of the first piece is 1 square unit then:
square units
