Hello from MrBillDoesMath!
Answer: 104x^2 + 166x + 66
Discussion:
The area of a rectangle is given by "length" * "width". For us the formula becomes
(13x + 11) * (8x+6)
or
13x (8x +6) + 11 * (8x + 6) =
(13x * 8x + 13x* 6) + ( 11*8x + 11*6) =
(104x^2 + 78x ) + (88x + 66) =
104x^2 + (78x + 88x) + 66 =
104x^2 + 166x + 66
Thank you,
MrB
The probability that at least two of the missiles hit the arsenal:
P ( x ≥ 2 ) = P ( x = 2 ) + P ( x = 3 )
P ( x = 2 ) = 0.75 · 0.85 · 0.1 + 0.85 · 0.9 · 0.25 + 0.75 · 0.9 · 0.15 =
= 0.06375 + 0.10125 + 0.19125 = 0.35625
P ( x = 3 ) = 0.75 · 0.85 · 0.9 = 0.57375
P ( x ≥ 2 ) = 0.35625 + 0.57375 = 0.93
Answer:
The probability is 0.93 or 93%.
The missing side length should be 22. Add 13.5 to 14.5 and you should get 28. Subtract 28 from the total perimeter (50) to get 22.
So you basically just add up all of the numbers for the number sentence, so:
1800+2150+675+2300+665+95+250+1150+225+750+530. So the sum of those is the new balance, which is $10590
1) Tanθ= opposite/adjacent
θ=Tan-1(9/7)
θ=52.125 = 52 degrees
2) Cosθ= adjacent/hypothesis
θ=Cos-1(5/12)
θ=65.376 = 65 degrees
