m<JAK=3x
m<JAK=180-90-30=60
m<LAF=m<JAK=60
60+5x+3x=180
8x=120
x=15
m<JAH=3x=3(15)=45 degrees
answer: 45 degrees
(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: D
Step-by-step explanation:
10 squared is 100 and 11 squared is 121, and 111 is in between those two numbers.
Answer:
Relate the points down below to yourself and give examples
Step-by-step explanation:
You show confidence and leadership
Being yourself/unique
You speak and interact kindly with everyone
You show respect and concern for others
You give advice to those who need it
You have humility and a willingness to admit mistakes.
You do good things outside of school