How do you make .208 a fraction?

1 answer:

6 0

$0.\underbrace{208}_{3}=\frac{208}{1\underbrace{000}_3}=\frac{208}{1000}\\\\divide\ a\ numerator\ and\ a\ denominator\ by\ 8\\\\\frac{208}{1000}=\frac{26}{125}\\\\Answer:0.208=\frac{26}{125}$

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Evaluate the given integral by changing to polar coordinates. 8xy dA D , where D is the disk with center the origin and radius 9

BabaBlast [244]

Answer:

Step-by-step explanation:

∫∫8xydA

converting to polar coordinates, x = rcosθ and y = rsinθ and dA = rdrdθ.

So,

∫∫8xydA = ∫∫8(rcosθ)(rsinθ)rdrdθ = ∫∫8r²(cosθsinθ)rdrdθ = ∫∫8r³(cosθsinθ)drdθ

So we integrate r from 0 to 9 and θ from 0 to 2π.

∫∫8r³(cosθsinθ)drdθ = 8∫[∫r³dr](cosθsinθ)dθ

= 8∫[r⁴/4]₀⁹(cosθsinθ)dθ

= 8∫[9⁴/4 - 0⁴/4](cosθsinθ)dθ

= 8[6561/4]∫(cosθsinθ)dθ

= 13122∫(cosθsinθ)dθ

Since sin2θ = 2sinθcosθ, sinθcosθ = (sin2θ)/2

Substituting this we have

13122∫(cosθsinθ)dθ = 13122∫(1/2)(sin2θ)dθ

= 13122/2[-cos2θ]/2 from 0 to 2π

13122/2[-cos2θ]/2 = 13122/4[-cos2(2π) - cos2(0)]

= -13122/4[cos4π - cos(0)]

= -13122/4[1 - 1]

= -13122/4 × 0

= 0

5 0

2 years ago

Zack and tia played chess for 50 minutes they put the chess board away at 11:20 when did they start

svetlana [45]

10:30 because an hour before 11:20 is 10:20, but it was only 50 minutes, so add 10 minutes to 10:20 , and there you have it, 10:30.

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3 years ago

What is the geometric mean of 30 and 6

Alik [6]

Since we have 2 numbers, we'll be square rooting.

All we have to do to find the mean is multiply & square root the products.

30 × 6 = 180

$\sqrt{180} = 13.42$

You can use the same process and check my answer if you'd like; I rounded the square root, so you may get a different answer.

6 0

2 years ago

Read 2 more answers

If events A and B are independent, what must be true?A.) P(AB) = P(B)

anygoal [31]

Answer:

B.) P(A/B) = P(A)

Step-by-step explanation:

If two events, A and B are independent:

We have that:

$P(A \cap B) = P(A)P(B)$