Answer: -231 ft
<u>Step-by-step explanation:</u>
The submarine started at sea level = 0
It submerged 140 ft = -140 ft
It traveled 40 miles horizontally so it is still at -140 ft
It dove down an additional 120 ft = -260 ft <em>(-140 + -120)</em>
It traveled 25 miles horizontally so it is still at -260 ft
It rose 29 ft = -231 ft <em>(-260 + 29)</em>
Note: submerged and dove are negative values and rose is positive
0 - 140 - 120 + 29 = -231
Answer:
number of terms=9
Step-by-step explanation:
![t_{1}=6\\t_{5}=18\\\\t_{n}=t_{1}+(n-1)d\\18=6+(5-1)d\\18-6=4d\\4d=12\\d=12/4=3\\s_{n}=162\\s_{n}=\frac{n}{2}[2t_{1}+(n-1)d]\\162=\frac{n}{2}[2(6)+(n-1)3]\\162 \times 2=n(12+3n-3)\\324=n(3n+9)\\3n^2+9n-324=0\\n^2+3n-108=0\\n^2+12n-9n-108=0\\n(n+12)-9(n+12)=0\\(n+12)(n-9)=0\\n=-12,9\\n=-12 (rejected)](https://tex.z-dn.net/?f=t_%7B1%7D%3D6%5C%5Ct_%7B5%7D%3D18%5C%5C%5C%5Ct_%7Bn%7D%3Dt_%7B1%7D%2B%28n-1%29d%5C%5C18%3D6%2B%285-1%29d%5C%5C18-6%3D4d%5C%5C4d%3D12%5C%5Cd%3D12%2F4%3D3%5C%5Cs_%7Bn%7D%3D162%5C%5Cs_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B2%7D%5B2t_%7B1%7D%2B%28n-1%29d%5D%5C%5C162%3D%5Cfrac%7Bn%7D%7B2%7D%5B2%286%29%2B%28n-1%293%5D%5C%5C162%20%5Ctimes%202%3Dn%2812%2B3n-3%29%5C%5C324%3Dn%283n%2B9%29%5C%5C3n%5E2%2B9n-324%3D0%5C%5Cn%5E2%2B3n-108%3D0%5C%5Cn%5E2%2B12n-9n-108%3D0%5C%5Cn%28n%2B12%29-9%28n%2B12%29%3D0%5C%5C%28n%2B12%29%28n-9%29%3D0%5C%5Cn%3D-12%2C9%5C%5Cn%3D-12%20%28rejected%29)
as number of terms can't be negative.
I'm pretty sure it's B you have it correct
If an angle it is obtuse it is between 90 and 180.
Angles in a quadrilateral add up to 360.
Therefore 3 obtuse angles must add up to AT LEAST 273 and if you then added the 90 it would get you to 363 which is too large so it cant be 90 :)
Answer:
Combined volume of the two game systems
cubic inches
Step-by-step explanation:
Volume of a cuboid = length × breadth × height
Soham's video game system measures 8 inches long, 6 inches wide, and 2 inches tall.
So,
Volume of Soham's video game system = 8 × 6 × 2 =
cubic inches
As Sean's video game system measures 1 inch longer on all sides,
the video game system measures
inches long,
inches wide, and
inches tall.
Volume of the video game system = 10 × 8 × 4 =
cubic inches.
Therefore,
Combined volume of the two game systems =
cubic inches