A = first piece, b = second piece, c = third piece
a + b + c = 47
b = 3a
c = 5a + 2
a + (3a) + (5a + 2) = 47.....combine like terms
9a + 2 = 47
9a = 47 - 2
9a = 45
a = 45/9
a = 5 ft
b = 3a.....b = 3(5)....b = 15 ft
c = 5a + 2....c = 5(5) + 2.....c = 25 + 2....c = 27 ft
longest piece (c) = 27 ft
The equation to find volume is V=

r²h and you know all of your numbers other than h so you plug all that in. 100=3.14×2²×h → 100=3.14×4×h → 100=12.56×h → Divide 12.56 from both sides 100÷12.56=12.56×h÷12.56 → 7.96cm=h.
I hope that helps!
Answer:
a) 11
Step-by-step explanation:
Since activity H came before all other activities, we can discard 14 and 18 as possible answers. Also the exercise tells us that all those activities came immediately after activity H, that means that activity H finishes right before the first activity from K, M and S starts. This means that activity H should end at 11, because that is the start time for the first activity.
Answer:
The skaters are 2.5 feet apart
Step-by-step explanation:
Firstly, please check attachment for diagrammatic representation.
To calculate the distance apart, this is same as the length PJ
To calculate this length, we can use the cosine rule as follows;
O^2 = P^2 + J^2 -2(P)(J)Cos 15
O^2 = 7^2 + 5^2 -2(7)(5)Cos 15
O^2 = 49 + 25 - 70Cos15
O^2 = 74 - 67.61
O^2 = 6.39
O = √6.39
O = 2.53
O = 2.5 feet to the nearest tenth of a foot
Answer:
Whole
Step-by-step explanation:
1,2,3 are all whole numbers