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Serjik [45]
3 years ago
14

Could someone help me out with my geometry homework?? I’ce Had it posted for a few days and it’s due tomorrow. Thank you!

Mathematics
1 answer:
Virty [35]3 years ago
8 0
I would love to help!
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Cylinder A has radius r, height h, and a volume of 10pi cubic units. Cylinder B has twice the radius and twice the height.
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Answer:

Step-by-step explanation:

10 = r²h

(2r)²(2h) = 16r²h

volume of B is 1.6 times the volume of A

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3 years ago
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Set up a linear system and solve
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Answer:

1300 and 700 respectively.

Step-by-step explanation:

Let x be invested in first account and y be invested in second account.

ATQ, x+y=2000 and 101=(4)*x/100+7*y/100. Solving it will give us x=1300 and y=700

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Question 13: The answer is D

Question 7: The answer is C

Question 14: The answer is B

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3 years ago
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The ten sides of a regular decagon are colored with five different colors, so that all five colors are used, and sides that are
const2013 [10]

Answer:

  • <u>120</u>

Explanation:

Number the sides of the decagon: 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10, from top (currently red) clockwise.

  • The side number one can be colored of five different colors (red, orange, blue, green, or yellow): 5
  • The side number two can be colored with four different colors: 4
  • The side number three can be colored with three different colors: 3
  • The side number four can be colored with two different colors: 2
  • The side number five can be colored with the only color left: 1
  • Each of the sides six through ten can be colored with one color, the same as its opposite side: 1

Thus, by the multiplication or fundamental principle of counting, the number of different ways to color the decagon will be:

  • 5 × 4 × 3 × 2 ×1 × 1 × 1 × 1 × 1 × 1 = 120.

Notice that numbering the sides starting from other than the top side is a rotation of the decagon, which would lead to identical coloring decagons, not adding a new way to the number of ways to color the sides of the figure.

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