Answer:
y=6
y=3
y=-3
y=-5
x=3
x=5
x=-1
x=-4
Step-by-step explanation:
To be able to answer this item, one simply needs to find the square root of 56. Using the calculator, the square root of 56 is approximately equal to 7.48. Thus, the answer to the item are 7 and 8.
Another approach to answering this item is that we get familiar with the perfect squares there is under 100. The nearest perfect squares to 56 are 49 and 64. 49 is the square of 7 and 64 is the square of 8. Thus, the answers to the item item are 7 and 8.
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:
The answer is 209 pi cm^2
L.A.(Lateral Area) = π19×11 = 209 π
