Using the washer method, the volume is given by the integral

where 3 - 1 = 2 is the distance from <em>y</em> = 3 to the axis of revolution, and similarly (1 + sec(<em>x</em>)) - 1 = sec(<em>x</em>) is the distance from <em>y</em> = 1 + sec(<em>x</em>) to the axis. The integrand is symmetric about <em>x</em> = 0, so the integral "folds" in on itself, and the integral from -π/3 to π/3 is twice the integral from 0 to π/3.
So the volume is

Answer:

Step-by-step explanation:
<em><u>The correct question is </u></em>
If ABCD is a square and AB = 10, what is the measure of AC? (rounded to the nearest hundredth)
see the attached figure to better understand the problem
we know that
All four sides of the square are congruent and all four interior angles are equal to 90°.
so
AB=BC=CD=AD
In the right triangle ACD
Applying the Pythagorean Theorem

we have that

substitute the given value




E+7 means 10^+7
basically move the decimal place 7 placs to right so it would be aprox
38200000.0
Answer:
the one with 3/10 left has more
Step-by-step explanation:
because 1/5 is equal to 2/10 and 3/10>2/10
Answer:
<em>Option D: the number of fluoride treatments given to students each month for the last 60 months (range 40-620)</em>
Explanation:
The number of fluoride treatments given to students each month may be graphed with the 60 months on the horizontal axis, using a bar for each month.
The height of each bar will represent the number of fluoride treatments for the month and will be read on the vertical axis.
This histogram will permit to compare visually, in a very easy way, how the number of treatments vary month to month. That is why this is an ideal representation for this kind of data. In other form, it would be harder to compare a set of data for so many months and whose range is so broad (40 - 620).