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Lesechka [4]
2 years ago
14

A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round you

r answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. Show all your work for all 3 pieces: The half-sphere, the cone and the prop. See attachment for picture of cone/half sphere.

Mathematics
1 answer:
DedPeter [7]2 years ago
3 0

3.14 x 9^2 x 14/3 = 1186.92

4/3 x 3.14 x 9^3 = 1526.04

1186.92 + 1526.04 = 2712.96  = 2713 cubic inches

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Answer:

The answer is D. (\frac{1}{5} )^{2}

Step-by-step explanation:

5^{4} *(5^{-3} )^{2}

simplify the expression by multiplying

5^{4} *5^{-6}

calculate the product

5^{-2}

express with a positive exponent using a^{-n} =\frac{1}{a^{n} }

\frac{1}{5^{2} }

6 0
3 years ago
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Find the area of the following figure.<br><br> 14.0 cm2<br> 10.5 cm2<br> 28.1cm2<br> 17.6 cm2
Levart [38]
First option: 14.0 cm^2

Area of semicircle + area of triangle
1/2(pi)(r^2) + 1/2(b)(h)
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14.03 cm^2
7 0
2 years ago
Find the coordinates of X. A. (7, 4.5) B. (7, 2.5) C. (3.5, 7) D. (7, 3.5
AVprozaik [17]

Answer:

A 7,4.5

Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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8 0
3 years ago
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Solve the system by elimination 1: x+5y-4z=-10, 2x-y+5z=-9, 2x-10y-5z=0 .. . 2. Solve the system by substitution: 2x-y+z=-4, z=5
Kryger [21]
1 )
1st and 2nd equation (multiply 1st by -2 ):
-2x - 10 y + 8 z = 20
2 x -  y    + 5 z = -9
---------------------------
       - 11 y + 13 z = 11  /  * ( -20 )
1st and 3rd:
- 2 x - 10 y + 8 z = 20
   2 x - 10 y - 5 z = 0
-----------------------------
         - 20 x + 3 z = 20  /  * 11
        ----------------------------------
         220 y - 260 z = -220
        - 220 y + 33 z = 220
        ------------------------------
                       z = 0,      y = -1,        x = - 5
2 )  
       2 x - y + 5 = -4
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       Substitution: y = 2 x + 9
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        4 x = - 32,          x = -8,    y = -7,   z = 5
3 )
      x + y + z = 11
   1.5 x+3 y +1.5 z = 21
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   ------------------------
      3 y + z = 11  / * (-2)
      6 y + 1.5 z = 21
    ------------------------
     - 6 y - 2 z = -22
       6 y + 1.5 z = 21
      ------------------------
                 -0.5 z = -1,           z = 2,   y = 3,   z = 6
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8 0
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