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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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How would I find all real solutions in x^4/3 -10^2/3 +21= 0
Oxana [17]

Answer:

Step-by-step explanation:

This equation looks complicated.We have to make it easier

let's say x^2/3 = t  and  x^4/3 = t^2

     

      t^2-10t+21=0   [ we can factorize this equation as a (t-3)(t-7) ]

     

      (t-3)(t-7)=0  [ that means , t can be 3 or 7 ]

But don't forget we have to find x not t so,

   t=x^2/3=3     ∛ x^2 = 3       x^2 = 9    x=3 or x= -3

  t=x^2/3=7      ∛x^2 = 7        x^2 = 343    x ~18.5  or x ~ -18.5

7 0
3 years ago
Police use photographs of various facial features help witnesses identify suspects. One basic identification kit contains 195 ha
Brrunno [24]

Answer: 99 different faces

Step-by-step explanation:

Since a witness can clearly remember the hairline and the eyes and eyebrows of a suspect, and the

basic identification kit contains 195 hairlines, 99 eyes and eyebrows, the number of different faces that can be produced with this information will be 99

5 0
3 years ago
You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the exper
Blababa [14]
5 questions each 4 choices guess 3 out of 5 correctly?

5*4=20    20/3=6.67   ,          My guess is that the outcome of you probably getting 3 / 5 correct is a 79.9 percent chance. 

3 0
3 years ago
If the price of a business math text rose to $120 and this was 10% more than the original price what was the original selling pr
kolezko [41]

Step-by-step explanation:

120*10% =12

10% percent *120

= (10/100)*120

= (10*120)/100

= 1200/100 = 12

120 - 12 = 108.00 is original price of math text

5 0
2 years ago
Solve for x 5x + 4/2 = 7
aev [14]

Answer:

x=2

Step-by-step explanation:

5x+\frac{4}{2} = 7

5x+4 =7 (2)

5x+4=14

5x=14-4

5x=10

\frac{5x}{5} = \frac{10}{5}

x=2

8 0
3 years ago
Read 2 more answers
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