Answer:
32.0 cm
Step-by-step explanation:
volume of a hemisphere = (2/3)πr3
r = cube root (Volume * 3/2 * 1/π )
r = cube root ( 8514 * 3/2 * 1/π)
r = 15.96
in the nearest tenth r = 16.0 cm
D= 2r
D= 2(16)
D= 32cm
Answer:
Lines 2 and 3 are parallel with slope (-2/3) and different y intercepts, and both are perpendicular to line 1 (-1) / (3/2) = (-2/3)
Step-by-step explanation:
Parallel lines have the same slope
Perpendicular lines have negative reciprocal slopes
line 1: 6x - 4y = 2
line 1: 4y = 6x - 2
line 1: y = (3/2)x - 0.5
line 2: y = (-2/3)x - 6
line 3:3y = -2x + 4
line 3: y = (-2/3)x + 4/3
5 digit number with no repeats
1st digit has 9 possibilities
2nd digit has 8 possibilities
3rd digit has 7 possibilities
4th digit has 6 possibilities
5th fight has 5 possibilities
Therefore the answer is:
9 x 8 x 7 x 6 x 5 = 72 x 210 = 15,120
