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.
Let's call the unknown amount of money <em>x</em>
Betty spend 5/12 of her money (5/12)x and had 42 dollars left. Translated,
Solving,
Answer: $72
Answer:
15
Step-by-step explanation:
to get sides JK and ML, you have to use ratios. the ratio is 3:2 so therefor ml and jk are 4.5
Then you add 4.5 and 4.5 and 3 and 3 to get you 15
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
The marked angles are <em>alternate interior angles</em>, so are congruent.
8x -4 = 60
8x = 64 . . . . . . . . . . add 4 to both sides
x = 64/8 = 8 . . . . . . divide both sides by 8
The value of x is 8.
