the correct answer is a the triangles two sides are to scale and the angles are the same
Answer:
Step-by-step explanation:
Given that:
![\int \int _R 4xye^{x^2 \ y} \ dA, R = [0,1]\times [0,7]](https://tex.z-dn.net/?f=%5Cint%20%5Cint%20_R%204xye%5E%7Bx%5E2%20%5C%20y%7D%20%5C%20dA%2C%20R%20%3D%20%5B0%2C1%5D%5Ctimes%20%5B0%2C7%5D)
The rectangle R = [0,1] × [0,7]
R = { (x,y): x ∈ [0,1] and y ∈ [0,7] }
R = { (x,y): 0 ≤ x ≤ 1 and 0 ≤ x ≤ 7 }
![\int \int _R \ 4xy e^{x^2 \ y} \ dA = \dfrac{4}{2}[e^y -1]^7_0 \ dy](https://tex.z-dn.net/?f=%5Cint%20%5Cint%20_R%20%5C%204xy%20e%5E%7Bx%5E2%20%5C%20y%7D%20%20%5C%20dA%20%3D%20%20%5Cdfrac%7B4%7D%7B2%7D%5Be%5Ey%20-1%5D%5E7_0%20%5C%20dy)
![\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 [(e^7 -7)-(e^0 -0)]](https://tex.z-dn.net/?f=%5Cint%20%5Cint%20_R%20%5C%204xy%20e%5E%7Bx%5E2%20%5C%20y%7D%20%20%5C%20dA%20%3D%20%202%20%5B%28e%5E7%20-7%29-%28e%5E0%20-0%29%5D)
![\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 [(e^7 -7)-1]](https://tex.z-dn.net/?f=%5Cint%20%5Cint%20_R%20%5C%204xy%20e%5E%7Bx%5E2%20%5C%20y%7D%20%20%5C%20dA%20%3D%20%202%20%5B%28e%5E7%20-7%29-1%5D)
<h3>
Answer: 1.79 square meters</h3>
Work Shown:
A = area of the triangular front face
A = base*height/2
A = 0.8*0.1/2
A = 0.04
L = lateral surface area
L = combined area of all the rectangular faces
L = (perimeter of the triangular face)*(depth of the prism)
L = (0.1+0.8+0.81)*(1)
L = 1.71
SA = total surface area of the triangular prism
SA = 2*A+L
SA = 2*0.04+1.71
SA = 1.79 square meters
Answer:
an example of an outlier is in state testing (which I just did today).
Step-by-step explanation:
say that most of the students got a a score of 78 to 95 the outlier would be something like a score of 30 because it is nowhere near the rest of the numbers and skews the the information when taking the average of a numbers.
Hope this helps! :)
And have a fabulous Friday!!
Answer:
I think its 6 numbers . See below
Step-by-step explanation:
The numbers must end in 0 because they must be divisible by 2 and 5
240 is one number it is the first number between 200 and 500 which is divisible by the 5 numbers.
The LCM of the 5 numbers is 60 so we can add 300, 360, 420 and 480 to the list.
