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Effectus [21]
3 years ago
12

Find the lowest terms fraction that's equal to 0.33.

Mathematics
2 answers:
irinina [24]3 years ago
5 0
The answer is 33/100
Len [333]3 years ago
3 0

33/100

Step-by-step explanation:

we turned the number into a fraction

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Ira Lisetskai [31]
Identity property of multiplication
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What is 3,072/3 Explain in steps,Answer quick
Paha777 [63]

1024 is the answer to this problem.

7 0
3 years ago
The area of a circle is 77.28m2.<br> Find the length of the diameter rounded to 1 DP.
allochka39001 [22]

Answer:diameter=9.92m

Step-by-step explanation:

Area=77.28

π=3.14

Area=π x (d/2)^2

77.28=3.14 x (d/2)^2

Divide both sides by 3.14

77.28/3.14=(3.14x(d/2)^2)/3.14

24.6=(d/2)^2

Take them square root of both sides we get

d/2=√(24.6)

d/2=4.96

d=4.96 x 2

d=9.92

4 0
3 years ago
Sketch the domain D bounded by y = x^2, y = (1/2)x^2, and y=6x. Use a change of variables with the map x = uv, y = u^2 (for u ?
cluponka [151]

Under the given transformation, the Jacobian and its determinant are

\begin{cases}x=uv\\y=u^2\end{cases}\implies J=\begin{bmatrix}v&u\\2u&0\end{bmatrix}\implies|\det J|=2u^2

so that

\displaystyle\iint_D\frac{\mathrm dx\,\mathrm dy}y=\iint_{D'}\frac{2u^2}{u^2}\,\mathrm du\,\mathrm dv=2\iint_{D'}\mathrm du\,\mathrm dv

where D' is the region D transformed into the u-v plane. The remaining integral is the twice the area of D'.

Now, the integral over D is

\displaystyle\iint_D\frac{\mathrm dx\,\mathrm dy}y=\left\{\int_0^6\int_{x^2/2}^{x^2}+\int_6^{12}\int_{x^2/2}^{6x}\right\}\frac{\mathrm dx\,\mathrm dy}y

but through the given transformation, the boundary of D' is the set of equations,

\begin{array}{l}y=x^2\implies u^2=u^2v^2\implies v^2=1\implies v=\pm1\\y=\frac{x^2}2\implies u^2=\frac{u^2v^2}2\implies v^2=2\implies v=\pm\sqrt2\\y=6x\implies u^2=6uv\implies u=6v\end{array}

We require that u>0, and the last equation tells us that we would also need v>0. This means 1\le v\le\sqrt2 and 0, so that the integral over D' is

\displaystyle2\iint_{D'}\mathrm du\,\mathrm dv=2\int_1^{\sqrt2}\int_0^{6v}\mathrm du\,\mathrm dv=\boxed6

4 0
3 years ago
Plz answer this and explain how
Dahasolnce [82]

Answer:

Option H, π/3 and 2π/3

Step-by-step explanation:

sin x = sqrt(3) / 2

<em>It happens at 60 degrees and 120 degrees.  In radians, it is π/3 and 2π/3</em>

<em />

Answer:  Option H, π/3 and 2π/3

8 0
3 years ago
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