The volume of the triangular prism = 
Thus the volume is 
.
Thus the volume is 42 cubic km.
Hope that helps!
Answer:
A) 96 + x ≤ 149
Step-by-step explanation:
The airplane can hold 149 passengers.
There are already 96 passengers on board.
They can add x additional passengers, as long as they bring the total to no more than 149.
The inequality is
96 + x ≤ 149
The vector v is given by:
v = (7, 2) - (-5, 0)
v = ((7 - (- 5)), (2-0))
v = ((7 + 5), 2)
v = (12, 2)
Then, the angle is given by:
tan (theta) = 2/12
theta = atan (2/12)
theta = 9.46 degrees
Answer:
The direction angle of vector to the nearest tenth of a degree is:
theta = 9.5 degrees
Answer:
A 21 /169
B independent
Step-by-step explanation:
The total number of candies is 7+3+3 = 13
P( 1st red) = red/total = 7/13
Since the candy is put back there are still 13 candies in the dish
P(2nd green) = green/total = 3/13
P( red, then green) = P( 1st red) * P(2nd green)
= 7/13* 3/13 = 21/169
The events are independent since the candies are put back
D) 34/5 because 6(5) = 30 30+4=34 , so its 34/5
