Answer:
30, 60
Step-by-step explanation:
The sum of a triangles angles should be 180.
Subtract 90 because it's a right triangle.
180 - 90 = 90
Now we know the sum of the other angles should be 90.
x + 2x = 90
Solve for x.
3x = 90
x = 30
Now you substitute 30 for x.
(30), 2(30)
30, 60
Step-by-step explanation:
x^2 +10x + 24
use FOIL
have a great day
Answer:
x = 18 degrees
Step-by-step explanation:
50 - 32 = 18
Answer:
The volume of the ball with the drilled hole is:

Step-by-step explanation:
See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:

Then we set the integral for the volume by using shell method:

That can be solved by substitution:

The limits of integration also change:
For x=5: 
For x=15: 
So the integral becomes:

If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:

Then applying the basic rule we get:

Since that is just half of the solid, we multiply by 2 to get the complete volume:


Wait huh?????????????????