-1.75, negative numbers go on the left of the negative sign going up (down) and since -1.75 is actually a greater number our answer is -1.75
Answer:
By definition, angles A and 1 are corresponding angles and angles B and 1 are consecutive angles. By the corresponding angles postulate, angles A and 1 are congruent, and by the consecutive angles theorem, angles B and 1 are supplementary. By the definition of supplementary angles, measures of angle B and 1 add up to 180 degrees (m<B + m<1 = 180). By definition of congruent angles, angles A and 1 have same measurement (m<A = m<1). By substitution property of equality, measures of angles A and B add up to 180 degrees (m<A + m<B = 180). By definition of supplementary angles, angles A and B are supplementary.
Answer:
1) 
2) 
Step-by-step explanation:
Assuming that our function is
for the first case and
for the second case.
Part 1
We can rewrite the expression like this:

And we can reorder the terms like this:

Now if we apply integral in both sides we got:

And after do the integrals we got:

Now we can use the initial condition 

And the final solution would be:

Part 2
We can rewrite the expression like this:

And we can reorder the terms like this:

Now if we apply integral in both sides we got:

And after do the integrals we got:

Now we can use the initial condition 

And the final solution would be:

We have

and


so the line integral is equilvalent to





Answer:
48pi or ~150.8
Step-by-step explanation:
ok so area = pi * r^2
r = 8
8^2 = 64pi
so 64/4 = 16
16*3 quarters shaded = 48
48pi is the answer
48pi or ~150.8