Answer:
x ≈ 29.4 ft
Step-by-step explanation:
The model is a right triangle.
Using the tangent ratio
tan40° =
=
( multiply both sides by 35 )
35 × tan40° = x , then
x ≈ 29.4 ft ( to 1 dec. place )
(a) First find the intersections of

and

:

So the area of

is given by

If you're not familiar with the error function

, then you will not be able to find an exact answer. Fortunately, I see this is a question on a calculator based exam, so you can use whatever built-in function you have on your calculator to evaluate the integral. You should get something around 0.5141.
(b) Find the intersections of the line

with

.

So the area of

is given by


which is approximately 1.546.
(c) The easiest method for finding the volume of the solid of revolution is via the disk method. Each cross-section of the solid is a circle with radius perpendicular to the x-axis, determined by the vertical distance from the curve

and the line

, or

. The area of any such circle is

times the square of its radius. Since the curve intersects the axis of revolution at

and

, the volume would be given by
Answer:
Hello! Your answer is, A)Earthquakes broke the continental crust.
Step-by-step explanation:
Hope I helped! Ask me anything if you have any questions! Brainiest plz. Hope you make an 100% and have a nice day! -Amelia♥
Answer: x = 13.4
Step-by-step explanation:
1. Subtract 90 degrees and 33 degrees to get angle X, which is 57 degrees.
2. Using Laws of Sine, plug in the known elements of the triangle:
(16) / (sin(90)) = (x) / (sin(57))
3. Cross multiply, this will leave 16sin(57) = xsin(90)
4. Divide sin(90) to the other side, leaving x = (16sin(57)) / (sin(90))
5. Plug this into a calculator and your final answer should be 13.4