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3 years ago

Is the decimal form of 13/3 a rational number

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

8 0

No Its not Rational Number

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Marcus is designing a structure to hold up scenery for the school play. The structure must be a right triangle.

Nina [5.8K]

Answer:

Step-by-step explanation:

7 0

3 years ago

A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z feet. it costs $4.20 per square

ozzi

To solve this problem you must apply the proccedure shown below:

1. You have that:

-The length is $x$ feet.

- The width is $y$ feet.

- The height is $z$ feet.

2. The box has one base. The cost of the base is:

$c1=4.20xy$

3. It has four sides. The cost of the sides are:

$c2=2(0.75yz)+2(0.75xy)\\ c2=1.5yz+1.5xy$

The answer is: The total cost is $c=c1+c2\\ c=4.20xy+1.5yz+1.5xy$

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3 years ago

If sec theta = - √30 / 3, find cos theta.<br> if sin(-theta) = -0.97, find cos (π/2 - theta).

Cloud [144]

Step-by-step explanation:

$\cos \theta = \frac{1}{ \sec\theta } = - \frac{3}{ \sqrt{30} } = - \frac{3 \sqrt{30} }{30} = - \frac{ \sqrt{30} }{10}$

$\cos( \frac{\pi}{2} - \theta )= \cos \frac{\pi}{2} \cos \theta + \sin \frac{\pi}{2} \sin \theta$

Note that

$\sin( - \theta) = - \sin \theta$

$\cos \frac{\pi}{2} = 0 \: \: \: \: \: \sin \frac{\pi}{2} = 1$

Therefore,

$\cos( \frac{\pi}{2} - \theta ) = 0.97$

5 0

3 years ago

A polynomial with three terms

NikAS [45]

Its called a trinomial

3 0

3 years ago

Verify that the divergence theorem is true for the vector field f on the region

vladimir2022 [97]

By the divergence theorem,

$\displaystyle\iint_{\partial\mathcal E}\mathbf f(x,y,z)\cdot\mathrm d\mathbf S=\iiint_{\mathcal E}\nabla\cdot\mathbf f(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz$

where $\partial\mathcal E$ is the boundary of $\mathcal E$ . We have

$\nabla\cdot\mathbf f(x,y,z)=\dfrac{\partial(4x)}{\partial x}+\dfrac{\partial(xy)}{\partial y}+\dfrac{\partial(4xz)}{\partial z}=4+x+4x=5x+4$

so the flux is

$\displaystyle\int_{z=0}^{z=2}\int_{y=0}^{y=2}\int_{x=0}^{x=2}(5x+4)\,\mathrm dx\,\mathrm dy\,\mathrm dz=72$

5 0

3 years ago