All categories

2 years ago

What is the volume of the composite figure?

Mathematics

2 answers:

lyudmila [28]2 years ago

7 0

I got 2,592 ft^3

explanation (little figure on top): base is 9, height is 6, and length is 12.
9 x 6 x 12 = 648 cubic feet.

explanation (larger figure): base is 27, height is 6, and length is 12.
12 x 6 x 27 = 1,944 cubic feet.

now add the two together to get the whole volume.. 1,944 + 648 = 2,592 ft^3

hope this helps!

muminat2 years ago

6 0

Answer:

Step-by-step explanation:

You might be interested in

On which number line are -3 and it’s opposite shown?

kolbaska11 [484]

The first one, the opposite of any negative number is the same number but positive...and vise versa.

8 0

2 years ago

Read 2 more answers

If <img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B4%7D%20%3D%20%5Cfrac%7Bb%7D%7B7%7D" id="TexFormula1" title="\frac{a}{4} =

tamaranim1 [39]

Answer:

Step-by-step explanation:

$\frac{a}{4}=\frac{b}{7}\\a=\frac{4b}{7} \\\frac{a-b}{b} =\frac{\frac{4b}{7}-b }{b} \\=\frac{4b-7b}{7b}\\ =\frac{-3b}{7b}\\ =\frac{-3}{7}$

6 0

2 years ago

You are creating bracelets and then selling them to your friends at a 85% markup rate. If it costs you $1.80 to create the brace

posledela

Answer:

you will add $1.53 to every bracelet you make

Step-by-step explanation:

figure out what 85 percent of 1.80 is and then add that to 1.80 for the total price

85% x 1.8 = 1.53 (markup ammount)

1.80 + 1.53 = 3.33 (total cost)

5 0

3 years ago

Please help me asap!!!!!!

padilas [110]

Answer:

z-12

Step-by-step explanation:

you start of by z baseball and i know for a fact that fewer means subtraction so the answer is z-12

3 0

2 years ago

Solution for dy/dx+xsin 2 y=x^3 cos^2y

vichka [17]

Rearrange the ODE as

$\dfrac{\mathrm dy}{\mathrm dx}+x\sin2y=x^3\cos^2y$
$\sec^2y\dfrac{\mathrm dy}{\mathrm dx}+x\sin2y\sec^2y=x^3$

Take $u=\tan y$ , so that $\dfrac{\mathrm du}{\mathrm dx}=\sec^2y\dfrac{\mathrm dy}{\mathrm dx}$ .

Supposing that $|y|$ , we have $\tan^{-1}u=y$ , from which it follows that

$\sin2y=2\sin y\cos y=2\dfrac u{\sqrt{u^2+1}}\dfrac1{\sqrt{u^2+1}}=\dfrac{2u}{u^2+1}$
$\sec^2y=1+\tan^2y=1+u^2$

So we can write the ODE as

$\dfrac{\mathrm du}{\mathrm dx}+2xu=x^3$

which is linear in $u$ . Multiplying both sides by $e^{x^2}$ , we have

$e^{x^2}\dfrac{\mathrm du}{\mathrm dx}+2xe^{x^2}u=x^3e^{x^2}$
$\dfrac{\mathrm d}{\mathrm dx}\bigg[e^{x^2}u\bigg]=x^3e^{x^2}$

Integrate both sides with respect to $x$ :

$\displaystyle\int\frac{\mathrm d}{\mathrm dx}\bigg[e^{x^2}u\bigg]\,\mathrm dx=\int x^3e^{x^2}\,\mathrm dx$
$e^{x^2}u=\displaystyle\int x^3e^{x^2}\,\mathrm dx$

Substitute $t=x^2$ , so that $\mathrm dt=2x\,\mathrm dx$ . Then

$\displaystyle\int x^3e^{x^2}\,\mathrm dx=\frac12\int 2xx^2e^{x^2}\,\mathrm dx=\frac12\int te^t\,\mathrm dt$

Integrate the right hand side by parts using

$f=t\implies\mathrm df=\mathrm dt$
$\mathrm dg=e^t\,\mathrm dt\implies g=e^t$
$\displaystyle\frac12\int te^t\,\mathrm dt=\frac12\left(te^t-\int e^t\,\mathrm dt\right)$

You should end up with

$e^{x^2}u=\dfrac12e^{x^2}(x^2-1)+C$
$u=\dfrac{x^2-1}2+Ce^{-x^2}$
$\tan y=\dfrac{x^2-1}2+Ce^{-x^2}$

and provided that we restrict $|y|$ , we can write

$y=\tan^{-1}\left(\dfrac{x^2-1}2+Ce^{-x^2}\right)$

5 0

3 years ago