Step-by-step explanation:
here's the solution :-
1.) =》f = 90°
( because angle made by diameter on circumference of the circle measures 90° )
2.) =》here,
g + f + 56° = 180°
( because the sum of all interior angles of the triangle measures 180° )
=》g + 90° + 56° = 180°
=》g + 146° = 180°
=》g = 180° - 146°
=》g = 34°
3.) h = 56°
( since, they form alternate interior pair which are equal )
3x - 7 + 6 = 7x + 6
First shift all the pure numbers to one side
3x = 7x + 6 + 7 - 6
Now add up the pure numbers
3x = 7x + 7
Shift the 7x to the other side
3x - 7x = 7
-4x = 7
Divide 7 by - 4
X = - 1.75
Answer:
x < ( 8 - 2b ) / -a
Step-by-step explanation:
For this problem, we simply will solve the inequality for x.
-ax + 2b > 8
-ax > 8 - 2b
x < ( 8 - 2b ) / -a
Note, the comparison is flipped since a negative multiplicand was used to isolate x.
Cheers.
Answer:
3π square units.
Step-by-step explanation:
We can use the disk method.
Since we are revolving around AB, we have a vertical axis of revolution.
So, our representative rectangle will be horizontal.
R₁ is bounded by y = 9x.
So, x = y/9.
Our radius since our axis is AB will be 1 - x or 1 - y/9.
And we are integrating from y = 0 to y = 9.
By the disk method (for a vertical axis of revolution):
So:
Simplify:
Integrate:
Evaluate (I ignored the 0):
The volume of the solid is 3π square units.
Note:
You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:
We acquire the exact same answer.