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Aleksandr-060686 [28]
3 years ago
15

Solve the right triangle shown in the figure. B = 16.9°, b = 30.5

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0

Answer:

A=73.1

a=100.387

c=√ 11007.799769

Step-by-step explanation:

A=180-90+16.9=73.1

Tan(16.9)=30.5/a

=100.387

a^2+b^2=c^2

100.387^2+ 30.5^2=c^2

c=√ 11007.799769

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How many gallons of pure water should be evaporated from 160 gallons of a solution containing 12% salt so that the remaining sol
algol [13]

Answer:  It is asking the amount of pure water.

Amount of  pure water evaporated is 64 gallons .

Step-by-step explanation:

Let x gallons  be the amount of evaporated water.

Amount of water before evaporation

      =12% of 160

      = 0.12(160) = 19.2 gallons .......(1)

amount of solution after x gallon water evaporation  = 160-x

amount of salt in 160-x  solution =   20% of 160-x

                                                     =0.2 (160-x) ........... (2)

Since amount of salt will be same before and after evaporation

  from (1 )  and (2)

0.2(160-x) = 19.2

32-0.2x = 19.2

  -0.2x = 19.2-32

 -0.2x = -12.8

       x = -12.8/(-0.2)

       x   = 64  gallons


                 



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