X=2+5y
x-y=30
basically, all you're doing here is solving a system of equations. use the second equation to find out what x or y means. i'm going to solve it for x.
this is the new equation : x=30+y
now i plug this equation into the first one.
30+y=2+5y
30=2+5y-y
30=2+4y
28=4y
y=7
now that you know what y is, take that second equation we did in the beginning and plug in y.
x-7=30
solve for x
x=37
the two integers are 37 and 7.
Coterminal angles are different angles that have the same terminal side.
A positive angle has one turn more around so it has a measure of 100°+360° = 460°.
A negative angle will have a measure that is represented in clockwise rotation and be equal to 100° - 360° = -260°.
We can sketch an angle of measure 100°, a positive coterminal angle and a negative coterminal angle as:
Volume of sphere = 4/3 x pi x r^3
Volume of large sphere:
4/3 x 3.14 x 14^3 = 11488.21 cubic cm
Volume of smaller sphere:
4/3 x 3.14 x 2^3 = 33.49 cubic cm
Number of small spheres = volume of large sphere/ volume of small sphere
11488.21 / 33.49 = 343.03
Round to 343 small spheres
