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3 years ago

A stack of 60 identical books at the book store was 135 inches tall.

Mathematics

2 answers:

koban [17]3 years ago

3 0

<span>6.75 inches....................
</span>

galben [10]3 years ago

3 0

The answer is A I used a calculator to figure this out.

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Triangles EFG and QRS are similar. The lengths of the sides of EFG are 72, 64, and 56. The length of the smallest side of QRS is

blsea [12.9K]

Answer:

$180\ units$

Step-by-step explanation:

we know that

If triangles EFG and QRS are similar

then

the scale factor is equal to the measure of the smallest side of triangle QRS divided by the smallest side of triangle EFG

Let

x-------> the smallest side of triangle QRS

y-------> the smallest side of triangle EFG

z-------> the scale factor

we have

$x=140\ units, y=56\ units$

substitute the values

$z=\frac{140}{56}$

$z=2.5$

Find the length of the longest side of QRS

The length of the longest side of QRS is equal to multiply the scale factor by the length of the longest side of EFG

$2.5*72=180\ units$

7 0

3 years ago

Read 2 more answers

GIVING BRAINLIEST! IM BEGGING YOU PLEASE HELP ME THIS IS DUE TODAY AND I NEED TO HELP MY FRIEND! I CANT HELP THEM UNTIL I FINISH

RSB [31]

Here are the answers

C) 118

D) 64

A) pi(d)

B) ST

A) 22, 61, 97

8 0

3 years ago

Read 2 more answers

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

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

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4 years ago

What is an equation of the line passing between(4, -6) and (12, -8)?*

I am Lyosha [343]

Answer:

y= -1/4x - 5

Step-by-step explanation:

first you need to find the slope.

to do this you can use the equation: change in y/change in x which is also y2 - y1/x2-x1

-8 - (-6)/12-4

-2/8

-1/4 = slope

since the line's equation is y = mx + b, we still need to find the y-intercept. we can do this by just plugging in one of the points

-6 = -1/4(4) + b

-6 = -1 + b

-5 = b

so the final equation is y= -1/4x - 5

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3 years ago

Which angles are supplementary to each other?

Rus_ich [418]

Answer:

Angle 4 and Angle 1 are supplementary to each other.

Step-by-step explanation:

A line is 180°. Because angle 4 and angle 1 and right next to each other and they share a straight line, both of their angles should add up to 180°, making these two angles supplementary.

I hope this was helpful to you! If it was, please rate and press thanks! Have a fantastic day!

6 0

3 years ago