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:
Re = 6.2
Im = 37
Step-by-step explanation:
Re is the Real Axis which is the real number in the equation (6.2).
Im is the Imaginary Axis which is the imaginary number in the equation (37)
Answer $9.00 per pound for almonds
Reason
First, 70# x $3.50 = $245 of peanuts
Second, $515 total cost - $245 of peanuts = $270 of almonds
Third, we know 100# - 70# peanuts = 30# of almonds
Last, $270 cost of almonds divided by 30# of almonds = $9.00 per pound for almonds
Answer:
121 pi
Step-by-step explanation:
;)
