Answer:
The slant height of the pyramid is 3√2 ft, or to the nearest tenth ft,
4.2 ft
Step-by-step explanation:
The equation for the volume of a pyramid of base area B and height h is
V = (1/3)·B·h. Here, V = 432 ft³, B = (12 ft)² and h (height of the pyramid) is unknown. First we find the height of this pyramid, and then the slant height.
V = 432 ft³ = (144 ft²)·h, so h = (432 ft³) / (144 ft²) = 3 ft.
Now to find the slant height of this pyramid: That height is the length of the hypotenuse of a right triangle whose base length is half of 12 ft, that is, the base length is 6 ft, and the height is 3 ft (as found above).
Then hyp² = (3 ft)(6 ft) = 18 ft², and the hyp (which is also the desired slant height) is hyp = √18, or √9√2, or 3√2 ft.
The slant height of the pyramid is 3√2 ft, or to the nearest tenth ft,
4.2 ft
Answer:
Here is the answer: sin(3π/2) = -1
So 3π/2 is the correct choice.
Answer:
8.0 × 10⁴
Step-by-step explanation:
1.2 × 10⁵ - 4.0 × 10⁴
1.2 × 10⁵ = 120000
4.0 × 10⁴ = 40000
120000 - 40000 = 80,000
8.0000 (4 spaces)
8.0 × 10⁴
Answer:
it should be 54 gallons of water
Step-by-step explanation:
Answer:
759 rolls
Step-by-step explanation:
Total rolls = 1265
Number of batches = 5
Since each batch hs the same number of rolls:
Number of rolls per batch :
1265 / 5
= 253 rolls per batch
Number of rolls in 3 batches :
253 * 3 batches
= 759 rolls