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mezya [45]
3 years ago
10

What is 1/10 of 0.2 equal

Mathematics
2 answers:
Svetllana [295]3 years ago
3 0
1/10(0.2)

=(1/10)(0.2/1)

=(1)(36028) / (10)(18014)

=0.02


pantera1 [17]3 years ago
3 0
Of means multiplication
\frac{1}{10} \times 0.2 = 0.02

Your answer is 0.02

Hope that helped :)

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Calculus Problem
Roman55 [17]

The two parabolas intersect for

8-x^2 = x^2 \implies 2x^2 = 8 \implies x^2 = 4 \implies x=\pm2

and so the base of each solid is the set

B = \left\{(x,y) \,:\, -2\le x\le2 \text{ and } x^2 \le y \le 8-x^2\right\}

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas, |x^2-(8-x^2)| = 2|x^2-4|. But since -2 ≤ x ≤ 2, this reduces to 2(x^2-4).

a. Square cross sections will contribute a volume of

\left(2(x^2-4)\right)^2 \, \Delta x = 4(x^2-4)^2 \, \Delta x

where ∆x is the thickness of the section. Then the volume would be

\displaystyle \int_{-2}^2 4(x^2-4)^2 \, dx = 8 \int_0^2 (x^2-4)^2 \, dx \\\\ = 8 \int_0^2 (x^4-8x^2+16) \, dx \\\\ = 8 \left(\frac{2^5}5 - \frac{8\times2^3}3 + 16\times2\right) = \boxed{\frac{2048}{15}}

where we take advantage of symmetry in the first line.

b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

\dfrac\pi8 \left(2(x^2-4)\right)^2 \, \Delta x = \dfrac\pi2 (x^2-4)^2 \, \Delta x

We end up with the same integral as before except for the leading constant:

\displaystyle \int_{-2}^2 \frac\pi2 (x^2-4)^2 \, dx = \pi \int_0^2 (x^2-4)^2 \, dx

Using the result of part (a), the volume is

\displaystyle \frac\pi8 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{256\pi}{15}}}

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

\dfrac{\sqrt3}4 \left(2(x^2-4)\right)^2 \, \Delta x = \sqrt3 (x^2-4)^2 \, \Delta x

and using the result of part (a) again, the volume is

\displaystyle \int_{-2}^2 \sqrt 3(x^2-4)^2 \, dx = \frac{\sqrt3}4 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{512}{5\sqrt3}}

7 0
2 years ago
Answers: <br> A.5<br> B.9<br> C.10<br> D.13<br> Need the answer ASAP
maw [93]

Answer:

<u>x = 5</u>

Step-by-step explanation:

See attached image.

8 0
2 years ago
17/6 as a mixed number
natta225 [31]


just divide 17 by 6 and you'll get your mixed number:

2 5/6

8 0
3 years ago
Read 2 more answers
Han can run 100 meters in 20 seconds how long will it take him to run 3000 metres
Juliette [100K]

Answer:

600 seconds

Step-by-step explanation:

In this case we have to calculate the speed;

Speed = Distance/Time

Speed = 100/20 = 5 mph

Next to get our answer we have to calculate the amount of time

Time = Distance/Speed

Time = 3000/5 = 600 seconds

4 0
3 years ago
Which number line shows the solution to the inequality?<br> y-2 &lt;-5
spin [16.1K]
I think it would be A.
4 0
2 years ago
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