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3 years ago

Brainliest + points! Please explain

Mathematics

2 answers:

zepelin [54]3 years ago

6 0

Answer:

Step-by-step explanation:

Legs are the sides of an isosceles triangle that aren't the base, so in this case ZX would be the base. This rule is only for isosceles triangles. It doesn't apply to any other type of triangle.

Hope I helped, sorry if I'm wrong!

~Mschmindy

Ivan3 years ago

4 0

Answer:

Step-by-step explanation:

The legs of a triangle are the 2 sides in the triangle that are not the hypotenuse, the side opposite the right angle.

The hypotenuse is XY, thus

The legs are YZ and ZX → C

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Use the divergence theorem to calculate the surface integral s f · ds; that is, calculate the flux of f across s. f(x, y, z) = x

valkas [14]

$\mathbf f(x,y,z)=x^4\,\mathbf i-x^3z^2\,\mathbf j+4xy^2z\,\mathbf k$
$\mathrm{div}(\mathbf f)=\dfrac{\partial(x^4)}{\partial x}+\dfrac{\partial(-x^3z^2)}{\partial y}+\dfrac{\partial(4xy^2z)}{\partial z}=4x^3+0+4xy^2=4x(x^2+y^2)$

Let $\mathcal D$ be the region whose boundary is $\mathcal S$ . Then by the divergence theorem,

$\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV$

Convert to cylindrical coordinates, setting

$x=r\cos\theta$
$y=r\sin\theta$

and keeping $z$ as is. Then the volume element becomes

$\mathrm dV=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz$

and the integral is

$\displaystyle\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=0}^{z=r\cos\theta+7}4r\cos\theta\cdot r^2\cdot r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle4\iiint_{\mathcal D}r^4\cos\theta\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\dfrac{2\pi}3$

4 0

3 years ago

Workers inc. just bought 14 boxes of pens to put in their storage room for employees to use as needed. each box contains 50 pens

slega [8]

Answer:

568 pens.

Step-by-step explanation:

Total number of pens bought = 14 * 50 = 700.

Total pens taken by the workers = 33 * 4 = 132.

Number left = 700 - 132 = 568.

4 0

3 years ago

Read 2 more answers

What is the inverse of the function h(x) = 5/2x + 4

Kryger [21]

The inverse is h squared -1 (x) = 2/5x -8/5

6 0

2 years ago

If x=3<br><br> Arrange the list in an increasing order.

UkoKoshka [18]

Answer:

It is already in an increasing order

1. 4x - 8 Highest

2. 3x - 2

3. 2x + 1

4. 1x - 0 Lowest

Step-by-step explanation:

1. 56

2. 25

3. 9

4. 1

4 0

2 years ago

The quadratic function below has an axis of symmetry through x = -4; a vertex at (-4, -9) and zeroes at x = -7 and x = 0.

Pavlova-9 [17]

Answer:

True

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 9), thus

y = a(x + 4)² - 9

To find a substitute the coordinates of the zero (- 7, 0) into the equation.

0 = a(- 7 + 4)² - 9, that is

0 = 9a - 9 ( add 9 to both sides )

9a = 9 ( divide both sides by 9 )

a = 1, thus

y = (x + 4)² - 9 ← expand factor using FOIL

y = x² + 8x + 16 - 9

y = x² + 8x + 7

4 0

2 years ago