Answer:
SA = 2520 ft^2
Step-by-step explanation:
a = 21ft
b = 29ft
c = 20ft
h = 30ft
SA = 2
+ (a+b+c)h
= s(s﹣a)(s﹣b)(s﹣c)
s = ![\frac{a + b + c}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%20%2B%20b%20%2B%20c%7D%7B2%7D)
SA= ah + bh + ch +
![\sqrt{-a^4 + 2(ab)^2 + 2(ac)^2 - b^4 + 2(bc)^2 - c4}](https://tex.z-dn.net/?f=%5Csqrt%7B-a%5E4%20%2B%202%28ab%29%5E2%20%2B%202%28ac%29%5E2%20-%20b%5E4%20%2B%202%28bc%29%5E2%20-%20c4%7D)
SA= (21 * 30) + (29 * 30) + (20 * 30) +
![\sqrt{-(21)^4 + 2(21 * 29)^2 + 2(21 * 20)^2 - (29)^4 + 2(29 * 20)^2 - (20)^4}](https://tex.z-dn.net/?f=%5Csqrt%7B-%2821%29%5E4%20%2B%202%2821%20%2A%2029%29%5E2%20%2B%202%2821%20%2A%2020%29%5E2%20-%20%2829%29%5E4%20%2B%202%2829%20%2A%2020%29%5E2%20-%20%2820%29%5E4%7D)
SA = 2520 ft^2
Answer:
B. 41.8° is the correct answer
Step-by-step explanation:
We are given that,
Length of Eduardo's flight path = 273 miles
Length of Paul's flight path = 357 miles
Distance between their destinations = 238 miles.
Now, using the law of cosines, we get,
![238^2=273^2+357^2-2\times 273\times 357\times \cos \theta](https://tex.z-dn.net/?f=238%5E2%3D273%5E2%2B357%5E2-2%5Ctimes%20273%5Ctimes%20357%5Ctimes%20%5Ccos%20%5Ctheta)
i.e. ![56644=74529+127449-194922\times \cos \theta](https://tex.z-dn.net/?f=56644%3D74529%2B127449-194922%5Ctimes%20%5Ccos%20%5Ctheta)
i.e. ![56644=201978-194922\times \cos \theta](https://tex.z-dn.net/?f=56644%3D201978-194922%5Ctimes%20%5Ccos%20%5Ctheta)
i.e. ![194922\times \cos \theta=145334](https://tex.z-dn.net/?f=194922%5Ctimes%20%5Ccos%20%5Ctheta%3D145334)
i.e. ![\cos \theta=0.7456](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%3D0.7456)
i.e. ![\theta=\arccos 0.7456](https://tex.z-dn.net/?f=%5Ctheta%3D%5Carccos%200.7456)
i.e. θ = 41.8°
Hence, the angle between their flight paths is 41.8°.
Hey there!
In order to compare these fractions, we can give them a common denominator.
Our least common multiple of 3 and 8 is 24. We multiply 2/3 by 8/8 and 5/8 by 3/3 to get
16/24 and 15/24
Therefore, 2/3 is bigger.
Hope this helps!
Answer:
She is incorrect. The correct answer is 285.74
Step-by-step explanation:
A= (pi)r^2
Training wheel: A= (3.14)(3)^2=28.26in^2
Wheel: A= (3.14)(10)^2= 314in^2
314-28.26=285.74in^2
Step-by-step explanation:
Since DE is parallel to BC, the <em>m</em><em>L</em><em> </em>C = 180° -125° = 55°.
so, the measure of <em>L</em><em> </em>B = 180° - <em>L</em><em> </em>A - <em>L</em><em> </em>C =
180° - 60° - 55 = 65°