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Anton [14]
3 years ago
11

Which is bigger 40% of 120 or 1/4 of 200

Mathematics
1 answer:
Dimas [21]3 years ago
5 0
1/4 of 200 is bigger because it is 50 and 40% of 120 is 48
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Multiple-Choice Integration, Picture Included, Please Include Work
ValentinkaMS [17]
\displaystyle\int_0^2\sqrt{4-x^2}\,\mathrm dx

Recall that a circle of radius 2 centered at the origin has equation

x^2+y^2=4\implies y=\pm\sqrt{4-x^2}

where the positive root gives the top half of the circle in the x-y plane. The definite integral corresponds to the area of the right half of this top half. Since the area of a circle with radius r is \pi r^2, it follows that the area of a quarter-circle would be \dfrac{\pi r^2}4.

You have r=2, so the definite integral is equal to \dfrac{2^2\pi}4=\pi.

Another way to verify this is to actually compute the integral. Let x=2\sin u, so that \mathrm dx=2\cos u\,\mathrm du. Now

\displaystyle\int_0^2\sqrt{4-x^2}\,\mathrm dx=\int_0^{\pi/2}\sqrt{4-(2\sin u)^2}(2\cos u)\,\mathrm du=4\int_0^{\pi/2}\cos^2u\,\mathrm du

Recall the half-angle identity for cosine:

\cos^2u=\dfrac{1+\cos2u}2

This means the integral is equivalent to

\displaystyle2\int_0^{\pi/2}(1+\cos 2u)\,\mathrm du=2u+\sin2u\bigg|_{u=0}^{u=\pi/2}=\pi
4 0
3 years ago
You pick one apple from the basket.
kherson [118]
I would go with D but I am not saying it is correct.
6 0
3 years ago
Read 2 more answers
Someone please answer!!!!
kvasek [131]
See attached image. It's not just an answer...it's a full explanation. Please look through it to make sure you understand, and if anything isn't clear, don't hesitate to ask.

7 0
3 years ago
If y=6 When x=10,find x when y=18
erik [133]
X=22 because if y=6 and x=10 so 6+4=10 so 18+4=22
5 0
3 years ago
A boy spends 4/15 on cloth, 1/5 on food and 5/12 on drink. what fraction is left for other things
mamaluj [8]

Answer:

4/15+1/5+5/12=53/60 so

7/60

Hope This Helps!!!

5 0
2 years ago
Read 2 more answers
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