Answer:
Bet
Step-by-step explanation:
It’s a simple one to write. There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? The answer is no, and that’s Fermat’s Last Theorem.
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)
You can find the complementary angle for 28° first, which is 90°-28°=62°. Since this is a right triangle, you can then use trigonometry to find x (the hypotenuse). You have the angle and the adjacent side, so plug and play:
cos 62° = 350 / x
x = 350 / cos 62°
x = 745.5 ft
There are 1,760 yards in a mile.
Multiply 1,760 by 2 = 3,520
Add 50 to 3,520 = 3,570
Stephanie's trip was 3,570 yards long.
Answer:
see below
Step-by-step explanation:
72pi cubic inches
1/3 pi r ^2 * h = 72 pi
1/3 r^2 h = 72
You can theoretically find infinite answers to this and get enough points for the semester where you don't have to do work anymore. I will list a couple more possible answers below
r = radius, h = height
r = 2, h = 54
r = 3, h = 24
r = 4, h = 27/2
r = √(1/pi), h = 72pi
