Answer:
56.4°
Step-by-step explanation:
Let θ = the angle of elevation. Then
tanθ = 199/132 = 1.508
θ = arctan1.508
θ = 56.4°
The angle of elevation is 56.4°.
Answer:
84.85cm
Step-by-step explanation:
Let the sides of the square be x
The perimeter of the square = 4x
Get x using the pythagoras theorem
x^2 + x^2 = 30^2
2x^2 = 900
x^2 = 450
x = 21.21cm
Perimeter of the plate = 4(21.21)
Perimeter of the plate = 84.85cm
K:A
5:3 (before)
15:9
since the total number of stamps didn't change, the total ratio should be the same.
7:5(after)
14:10
so this means 1 unit is 10stamps.
14-10=4
4 X 10= 40
Kaye have 40 more stamps than Alberto.
It is hard to comprehend your question. As far as I understand:
f(x,y) = e^(-x)
Find the volume over region R = {(x,y): 0<=x<=ln(6), -6<=y <= 6}.
That is all I understood. It would be easier to understand with a picture or some kind of visual aid.
Anyways, to find the volume between the surface and your rectangular region R, we must evaluate a double integral of f on the region R.

Now evaluate,

which evaluates to, 5/6 if I did the math correct. Correct me if I am wrong.
Now integrate this w.r.t. y:

So,
