Answer:
66.67 in^3
Step-by-step explanation:
volume of a cylinder = nr^2h
Volume of a cone = 1/3(nr^2h)
n = 22/7
r = radius
the volume of a cone is 1/3 that of a cylinder
volume of the cone = 1/3 x (200) = 66.67 in^3
Answer: 1/8
Step-by-step explanation:
Number of red marbles = 12
Number of blue marbles = 8
Number of yellow marbles = 4
Total number of marbles = 24
Probability of getting red = 12/24 = 1/2
The probability of getting three reds with replacement will be:
= 1/2 × 1/2 × 1/2
= 1/8
<LMP and <NMP are supplementary angles so sum = 180
<LMP + <NMP = 180
(-16x + 13) + ( - 20x + 23) = 180
-16x + 13 - 20x + 23 = 180
-36x + 36 = 180
-36x = 144
x = -4
<LMP = -16x + 13 = -16(-4) + 13 = 77
<NMP = - 20x + 23 = - 20(-4) + 23 = 103
Answer
<LMP = 77°
<NMP = 103°
Answer:
(3,2)
Step-by-step explanation:
the other three ordered pairs do not lie in the shaded region
