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2 years ago

What is the value of ÷ 2 1/3

Mathematics

2 answers:

sukhopar [10]2 years ago

5 0

Answer:

6÷2 1/3

Step-by-step explanation:

djyliett [7]2 years ago

3 0

Answer:

2 4/7

Step-by-step explanation:

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Evaluate the given integral by making an appropriate change of variables, where R is the region in the first quadrant bounded by

Whitepunk [10]

$\displaystyle\iint_R\sin(384x^2+486y^2)\,\mathrm dA$

Notice that Given that $R$ is an ellipse, consider a conversion to polar coordinates:

$\begin{cases}x(r,\theta)=\frac r8\cos\theta\\y(r,\theta)=\frac r9\sin\theta\end{cases}$

The Jacobian for this transformation is

$J=\begin{bmatrix}\frac18\cos\theta&-\frac r8\sin\theta\\\frac19\sin\theta&\frac r9\cos t\end{bmatrix}$

with determinant $\det J=\frac r{72}$

Then the integral in polar coordinates is

$\displaystyle\frac1{72}\int_0^{\pi/2}\int_0^1\sin(6r^2\cos^2t+6r^2\sin^2t)r\,\mathrm dr\,\mathrm d\theta=\int_0^{\pi/2}\int_0^1r\sin(6r^2)\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{\pi\sin^23}{864}}$

where you can evaluate the remaining integral by substituting $s=6r^2$ and $\mathrm ds=12r\,\mathrm dr$ .

5 0

2 years ago

The emergency brake cable in a truck parked on a steep hill breaks and the truck starts rolling down the hill. The distance in f

topjm [15]

Answer:40.5

Step-by-step explanation:

5 0

1 year ago

Please help, will give brainliest! (please explain how as well)

vovikov84 [41]

Answer:

Step-by-step explanation:

Since GJ bisects ∠ FGH , then ∠ FGJ = ∠ JGH = x + 14

∠ FGH = ∠ FGJ + ∠ JGH , substitute values

4x + 16 = x + 14 + x + 14 = 2x + 28 ( subtract 2x from both sides )

2x + 16 = 28 ( subtract 16 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Thus

∠ FGJ = x + 14 = 6 + 14 = 20° → C

4 0

2 years ago

Juan owes his cousin, Benito, $10.00. Benito is tired of waiting for Juan to pay him back. To try and get Juan to pay up more qu

AleksAgata [21]

Answer:

Equation: 10+x= 15 +0.5x

Time: 10 days

Amount: 20$

Step-by-step explanation:

Equation for Benito:

10 + x*1

Equation for Tavon:

15 + x*0.5

Since the sums equalize at some time, we get:

10+x= 15 +0.5x
x - 05x = 15- 10
0.5x = 5
x= 5/0.5
x= 10 days

After 10 days, Juan will owe both Benito and Tavon $20

7 0

2 years ago

I thought of a number. This number double is 7 less than 29. What is my number? hurry please

jekas [21]

Answer:

Step-by-step explanation:

11*2=22

29-7 =22

6 0

2 years ago

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What is the value of ÷ 2 1/3​

What is the value of ÷ 2 1/3