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tatiyna
3 years ago
11

Combine Like Terms and Eliminate Parenthesis.5z-[2z-(13z+8)]

Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0

We need to start from the innermost parenthesis and work our way out.

The first parenthesis is 13z+8. These are not like terms because one involves a variable, while the other is a constant term. Two terms are summable if they involve the same power(s) of the same variable(s).

So, we can take one step outwards, and we arrive to the square brackets. We have

2z-13z-8

and 2z and -13z are like terms, so we can sum them:

2z-(13z +8) = 2z-13z-8 = (2-13)z-8 = -11z-8

Finally we arrive to the whole expression, which is

5z-(-11z-8) = 5z+11z+8 = (5+11)z+8=16z+8

Because, again, 5z and 11z were like terms.

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A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a hieght of 3 inches. The cone has a radiu
arlik [135]

The height of the cone is inches, if the cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.

Step-by-step explanation:

The given is,

          A cylinder and a cone have the same volume

          Cylinder has a radius 2 inches and height of 3 inches.

          Cone has a radius of 3 inches

Step:1

           For Cylinder'

           Formula to calculate the volume of cylinder is,

                        V = \pi r^{2} h..................................................(1)

          where,

                      r - 2 inches

                      h - 3 inches

         From the equation (1)

                           = \pi × 2^{2} × 3

                           = 37.70

                        V = 37.70 cubic inches

Step:2

         For cone,

         Formula to calculate the volume of cone is,

                     V = \pi r^{2} \frac{h}{3}..................................................(2)

         From the statement,

                      cylinder and a cone have the same volume

                      V_{cylinder} = V_{cone}

                          37.70 = \pi × 3^{2} × \frac{h}{3}

                          37.70 = 9.42478 × h

Height of the cone, h = 4 inches

Result:

            Thus the height of the cone is 4 inches, if a cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.

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As you know 30/45 = 6/9 
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