hugomimihu

Since it's isoceles right, the angles must be 45-45-90.

That means that the hypothenuse is sqrt(200).

We just need to find the length of half the hypothenuse, since the unshaded is 45/360 of a circle.

sqrt(200)= sqrt(4*50) = 2(sqrt(50)).

The radius is (2(sqrt(50)))/2 = sqrt(50).

area of circle is π r^2, so it's 50π. The part is 45/360 of a circle, with two parts, so 90/360 = 45/180 = 1/4

50π/4 is the unshaded.

The triangle has an area of 10*10/2 = 50.

50 - 50π/4  is the area of the red.

If you don't understand anything feel free to ask!

Put this in sticky topics!

Thanks for sharing this list, appreciate it!

Intuitively...

You select any number, and there are, from 3 to 97,always 4 numbers satisfying this, so 4/100 = 1/25 probability that you get a difference of 1 or 2.

The probability of getting 3-98 is 96/100 = 48/50 = 24/25. Multiply together and get 24/625.

If you pick 2 or 99, with 2/100 = 1/50 probability, you get 3 numbers satisfying, so 3/100. Multiply together to get 3/5000.

If you pick 1 or 100, with 2/100 = 1/50 probability, you get 2 numbers, so 2/100 = 1/50. Multiply together = 1/2500

I'll let you add them together.

If you don't understand anythign feel free to ask.

v = u + at\

I'm assuming u is the initiatial velocity.

u = 3m/s

a = 1.5m/s^2

t = 7

v = 3 + 1.5*7 = 3 + 10.5 = 13.5

velcocity is 13.5 m/s

If you don't understand anything feel free to ask.

There should be a button next to "Flag" and "reply", which says "edit". You should edit your work to prevent further confusion.

The numbers for 1) can't be -1 and 0, since it would be 2^(-1) = 2^0. You mean 1 right?

anything to the 0th power is 1.

So 2^x * 2^y = 1.

RIght?

so if you have a number with a neg. exponent, it's basically the reciprocal of that.

Well, a number and it's reciprocal multiplied equals one. 

Just stick to 2^-1 * 2^1 = 2^0. We have (-1, 1)

Well, we know about reciprocals, so 2^3/ 2^(-3) = 8/ ( 1/8). That's 8^8 = 64. 64 = 2^6. We have -3 and 6.

so 1/8 times x^-3 = 10^y.

Huh.

Well then y must also be negative.

so, if 10^-3, it's 1/1000, so 1/8 * 1/125 = 1/1000.

Funny. 1/125 = 5^-3.

If you don't understand anything feel free to ask.

Well said. Only your instructors will know.

Besides, it's not like everyone in your course knows you.

Chances are that NO ONE knows you.

My friends can't even guess my username even if I told them what letter it began with.

Asking for help is perfectly normal and the only way you can learn.

Hi, but the question says...

2 1/4

= 2*4+1 / 4

= 9/4

But you wrote 9/2???

 

2 1/4  = 9/4

Use dist. property to get

9/4 * 10 = 90/4

90/4 = 22 1/2