Answer:
z=4, y=11, x=1
Step-by-step explanation:
The sides don't change when a shape is reflected over,
so we can use the other sides to find the variables.
3z=12, so z=4. 2y-4=18, so y=11. 9x+6=15, so x=1
Answer:
1.1783
Step-by-step explanation:
The attached picture shows a cross section of the cylindrical shell that it is convenient to use as a differential of the volume. The radius from the center of revolution is (1-x), so the circumference of the shell is 2π(1-x). Of course, its height is tan(x), so the differential of volume is ...
dV = 2π(1-x)tan(x)
The indefinite integral does not have a nice closed-form solution, but it can be easily integrated numerically from x = 0 to 1 by most scientific and graphing calculators. The attached shows the volume to be about 1.1783 cubic units.
Answer is 24 %
This is my guessing so it might not be correct
sorry if not correct
Answer:
171 foot
Step-by-step explanation:
We are given that
Height of tower=135 ft
AC=55 ft
Let x be the length of shortest length of wire.
The angle of inclination of mountain with horizontal =
The angle between sides AB and BC=
Exterior angle is equal to sum interior angles of a triangle on the opposite sides .
We have to find the value of x.
We know that law of cosine
Substitute the values in the given formula we get
Hence, the length of wire needed=171 foot
7.2 would be bigger than 7.09