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Vinvika [58]
3 years ago
14

a 25-foot wire is to be cut so that the longer piece is one foot longer than 5 times the shorter peice . find the length of each

peice
Mathematics
2 answers:
Wittaler [7]3 years ago
3 0

short piece = x

 long piece = 5x +1

x +5x +1 = 25

6x = 24

x = 24/6 = 4

 short piece = 4 feet

long piece = 21 feet

12345 [234]3 years ago
3 0
25 = L + S where L is longer piece and S is shorter piece
L = 5S + 1
Then 25 = 5S + 1 + S
         25 = 6S + 1
         24 = 6S
           S = 4
           L = 21
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3 years ago
A spherical exercise ball has a maximum diameter of 30 inches when filled with air. The ball was completely empty at the start,
Alex73 [517]

Answer:

A) A(t)  =  4500*π  -  1600*t

B) A(4)  =  7730 in³

C) t  =  8,8 sec

Step-by-step explanation:

The volume of the sphere is:

d max  =  30   r max  =  15 in

V(s) =  (4/3)*π*r³      V(s)  =   (4/3)*π* (15)³

V(s) = 4500*π

A)  Amount of air needed to fill the ball A(t)

A(t)  = Total max. volume of the sphere - rate of flux of air * time

A(t)  =  4500*π  -  1600*t    in³

B) After 4 minutes

A(4)  =  4500*π  - 6400

A(4)  =  14130 - 6400

A(4)  =  7730 in³

C)  A(t)  =  4500*π  -  1600*t  

when  A(t) = 0   the ball got its maximum volume then:

4500*π -  1600*t  =  0

t  =   14130/1600

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8 0
2 years ago
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Answer:

x = 53 degree

Step-by-step explanation:

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3 0
2 years ago
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yuradex [85]
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Step-by-step explanation:

According to sets theory ;

Intersection ( ∩ ) - e.g (European ∩ Dutch) represents both European and    

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Union ( ∪ ) - e.g (European ∪ Dutch) represents either  European or Dutch .

So , Techno ∩ (European ∩ Dutch)' represents  set notation of techno musics that is neither European nor Dutch .

                                     

3 0
2 years ago
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Answer:

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