Answer:
3 grams
Step-by-step explanation:
on the left side there is 3 circles and every circle is 3 grams, so there is 9 grams plus 6 squares for 2 grams its 12 . 9+12 =21 and two triangles with x mass
on the right side there is 2 circles , 2×3 = 6, and 3 squares, 3×2 = 6. 6+6=12 +5x
both sides are equal so we have
21+2x=12+5x
21-12=5x-2x
9=3x
x=3
Answer:
x = 10
Step-by-step explanation:
First, subtract 10 from both sides
Next, Simplify
Then, subtract 5/3x from both sides
After, simplify
Lastly, multiply both sides by 3
Then finally simplify for your final answer of x = 10
Hope this helps! :)
Answer:
No he does not
Step-by-step explanation:
158 / 60 = 2.63
which is about a 3 hour long movie.
I don't understand what your asking
Answer:
Required volume is
unit.
Step-by-step explanation:
Given equations of curves,
,
substitute second in first we will get,

When
and
. Thus both curves intersect at the points (4,16),(-4,16). And thus
.
Considering width of the representative rectangle as
which is parallel to x-axis because of considering cylindrical shell. Therefore volume of the shell is given by,

Now,
Length of generating box=Length of
from line x=4(axis of revolution)=circumference of the shell=(4-x)
Width of box=
Hence,


![=2\pi\{144\big[x\big]_{-4}^{4}-18\big[x^2\big]_{-4}^{4}-\frac{8}{3}\big[x^3\big]_{-4}^{4}+\frac{1}{2}\big[x^4\big]_{-4}^{4}\}](https://tex.z-dn.net/?f=%3D2%5Cpi%5C%7B144%5Cbig%5Bx%5Cbig%5D_%7B-4%7D%5E%7B4%7D-18%5Cbig%5Bx%5E2%5Cbig%5D_%7B-4%7D%5E%7B4%7D-%5Cfrac%7B8%7D%7B3%7D%5Cbig%5Bx%5E3%5Cbig%5D_%7B-4%7D%5E%7B4%7D%2B%5Cfrac%7B1%7D%7B2%7D%5Cbig%5Bx%5E4%5Cbig%5D_%7B-4%7D%5E%7B4%7D%5C%7D)

which is required volume of generating area.