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labwork [276]
3 years ago
11

The volume of this cone is 1,271.7 cubic meters, the height 15 cubic meters. What is the radius of this cone? Use ​ ≈ 3.14 and r

ound your answer to the nearest hundredth.
Mathematics
1 answer:
dybincka [34]3 years ago
4 0

Answer:

R=8.807

Step-by-step explanation:

R=?

V=1217.7

H=15

R=square root 3 v/pi*h

=square root 3 1217.7/3.14*15

=8.807

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Mason has a collection of 49¢ stamps, 20¢ stamps, and 34 stamps worth $23.55. He has 56 total 49¢ and 20+ stamps and the number
tatuchka [14]

Answer:

Mason has

  • 16 20¢ stamps;
  • 25 3¢ stamps;
  • 40 49¢ stamps.

Step-by-step explanation:

Let x be the number of 20¢ stamps, then the number of 3¢ stamps is  x + 9.

Mason has 56 total 49¢ and 20¢ stamps, then the number of 49¢ stamps is 56 - x.

Amounts:

  • in 49¢: 49(56-x) cents;
  • in 20¢: 20x cents;
  • in 3¢: 3(x+9) cents.

Total amount:

  • 49(56-x)+20x+3(x+9);
  • $23.55.

Hence,

49(56-x)+20x+3(x+9)=2,355\\ \\2,744-49x+20x+3x+27=2,355\\ \\-49x+3x+20x=2,355-2,744-27\\ \\-26x=-416\\ \\26x=416\\ \\x=16

Mason has

  • 16 20¢ stamps;
  • 25 3¢ stamps;
  • 40 49¢ stamps.
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3 years ago
The dry cleaning fee for 3 pairs of pants is $18. what is the constant of proportionality
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