Answer:
4,151,347,200
Step-by-step explanation:
To find how many ways the train can be made up we use the permutation formula and the values given.
n = 16
k = 9




So there will be 4,151,347,200 different ways that the train can be made.
Answer:
Step-by-step explanation:
Start by removing the brackets.
Left Brackets
30(1/2 x - 2)
30*1/2 x - 30*2
15x - 60
Right Bracket
40(3/4 y - 4)
40*3/4 y - 4*40
10*3 y - 160
30y - 160
Now put these 2 results together.
15x - 60 + 30y - 160 Combine the like terms.
15x + 30y - 220 That's one answer Others are possible.
5(3x + 6y - 44)
Answer:
The movers will need 3 crib-jacks
Step-by-step explanation:
Since each crib jack can lift 30,000lbs, and without the belongings it only weighs 90,000, which divided by 30,000 equals 3.
Answer:
A = 52°, a = 149.2, c = 174.3
Step-by-step explanation:
Technology is useful for this. Many graphing calculators can solve triangles for you. The attachment shows a phone app that does this, too.
___
The Law of Sines can give you the value of c, so you can choose the correct answer from those offered.
c = sin(C)·b/sin(B) = sin(113°)·49/sin(15°) ≈ 174.271 ≈ 174.3 . . . . . third choice