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NISA [10]
2 years ago
5

Which two numbers both round to 1,500 when rounded to the nearest hundred?

Mathematics
1 answer:
Artemon [7]2 years ago
7 0

Answer:

C

Step-by-step explanation:

Just take it lol

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 1 + sec
masha68 [24]

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

\displaystyle\pi\int_{-\pi/3}^{\pi/3}\bigg((3-1)^2-((1+\sec x)-1)^2\bigg)\,\mathrm dx=2\pi\int_0^{\pi/3}(4-\sec^2x)\,\mathrm dx

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

\displaystyle2\pi\int_0^{\pi/3}(4-\sec^2x)\,\mathrm dx=2\pi(4x-\tan x)\bigg|_0^{\pi/3}=\boxed{\dfrac{8\pi^2}3-2\pi\sqrt3}

4 0
2 years ago
If ABCD is a square and AB = 10, what is the measure of CE to the nearest hundredth?
andrey2020 [161]

Answer:

AC=14.14\ units

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

AC^2=CD^2+AD^2

we have that

CD=AD=AB=10\ units

substitute the given value

AC^2=10^2+10^2

AC^2=200

AC=\sqrt{200}\ units

AC=14.14\ units

6 0
2 years ago
3.82e+7 in standard form shown in calculator display
ser-zykov [4K]
E+7 means 10^+7
basically move the decimal place 7 placs to right so it would be aprox
38200000.0
3 0
2 years ago
Read 2 more answers
Patti has two glue sticks that are partially used. One has 1/5 left, and one has 3/10 left. Which glue stick has more glue?
marishachu [46]

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

8 0
2 years ago
Read 2 more answers
Which type of data would be best displayed in a histogram?
Vesnalui [34]

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).

5 0
2 years ago
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