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Lina20 [59]
3 years ago
13

Using the distributive property, break apart 6x4 = 24

Mathematics
1 answer:
____ [38]3 years ago
8 0
6x8=
{6x 4} + {6x 4 }
= + =
24 24
48
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2x-8=x+4
Get the x to the other side and the 8 to the opposite
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Find the mass of the solid paraboloid Dequals=​{(r,thetaθ​,z): 0less than or equals≤zless than or equals≤8181minus−r2​, 0less th
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Answer:

M = 5742π  

Step-by-step explanation:

Given:-

- Find the mass of a solid with the density ( ρ ):

                             ρ ( r, θ , z ) = 1 + z / 81

- The solid is bounded by the planes:

                             0 ≤ z ≤ 81 - r^2

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Find the mass of the solid paraboloid

Solution:-

- The mass (M) of any solid body is given by the following triple integral formulation:

                           M = \int \int \int {p ( r ,theta, z)} \, dV\\\\

- We can write the above expression in cylindrical coordinates:

                           M = \int\limits\int\limits_r\int\limits_z {r*p(r,theta,z)} \, dz.dr.dtheta \\\\M = \int\limits\int\limits_r\int\limits_z {r*[ 1 + \frac{z}{81}] } \, dz.dr.dtheta\\\\

- Perform integration:

                           M = \int\limits\int\limits_r{r*[ z + \frac{z^2}{162}] } \,|_0^8^1^-^r^2 dr.dtheta\\\\M = \int\limits\int\limits_r{r*[ 81-r^2 + \frac{(81-r^2)^2}{162}] } \, dr.dtheta\\\\M = \int\limits\int\limits_r{r*[ 81-r^2 + \frac{6561 -162r + r^2}{162}] } \, dr.dtheta\\\\M = \int\limits\int\limits_r{r*[ 81-r^2 + 40.5 -r +\frac{r^2}{162} ] } \, dr.dtheta\\\\M = \int\limits\int\limits_r{[ 121.5r-r^2 -\frac{161r^3}{162} ] } \, dr.dtheta\\\\

                           M = 2*\int\limits_0^\pi {[ 121.5r^2-r^3 -\frac{161r^4}{162} ] } |_0^6 \, dtheta\\\\M = 2*\int\limits_0^\pi {[ 121.5(6)^2-(6)^3 -\frac{161(6)^4}{162} ] }  \, dtheta\\\\M = 2*\int\limits_0^\pi {[ 4375-216 -1288] }  \, dtheta\\\\M = 2*\int\limits_0^\pi {[ 2871] }  \, dtheta\\\\M = 5742\pi  kg              

- The mass evaluated is M = 5742π                      

8 0
2 years ago
A rectangular prism with a square base is cut from the center of a triangular prism. Each side of the square base measures 1.7 u
anzhelika [568]

Answer:

45.4

Step-by-step explanation:

6 0
3 years ago
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Lanas family is planning a rectangular garden. They make a scale diagram of the garden using a scale of 1 in. to 0.5 meter. If t
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The perimeter is everything added up, since its not a square then you add not multiply. 24+24=48 and 16+16=32, add 32 and 48 and get 80.                                                                                                                                                                                                                                                  Answer:80
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PLEASE HELP, 10TH GRADE GEOMETRY (REAL ANSWERS PLSSSS)
Zina [86]

Answer:

The correct option is 4.

Step-by-step explanation:

Let the line AB divided into 7 equal parts.

It is given that point P partitions the directed line segment from A to B in 3:4. It means 3 parts are before P and 4 partes are after P.

It is given that point Q partitions the directed line segment from A to B in 4:3. It means 4 parts are before Q and 3 partes are after Q.

It is given that point R partitions the directed line segment from A to B in2:5. It means 2 parts are before R and 5 partes are after R.

It is given that point S partitions the directed line segment from A to B in 5:2. It means 5 parts are before S and 2 partes are after S.

From the below figure we can say that point S is closest to point B.

It is also written as

A

A

Therefore option 4 is correct.

6 0
2 years ago
Read 2 more answers
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