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Rashid [163]
3 years ago
6

Which of the following sets show all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4

< 29?
{4, 5, 6}
{3, 4 , 5}
{3, 4 }
{3}​
Mathematics
2 answers:
BartSMP [9]3 years ago
8 0

Answer:

3,4

Step-by-step explanation:

Vesna [10]3 years ago
4 0

Replace x with the possible answers and solve to see which ones make the equation true:

5(3) = 15 + 4 = 19. 19 is < 29 so 3 works.

5(4) = 20 + 4 = 24. 24 is < 29, so 4 also works.

5(5) = 25 + 4 = 29. 29 is not less than 29 so doesn't work.

Only 3 and 4 will work.

The answer would be {3,4}

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3 years ago
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3 years ago
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g100num [7]
Step One
Find the base area  of the large hexagon as though the smaller one was not removed.

Area = 3*Sqrt(3) * a^2 /2 where a is the length of one side of the hexagon
a = 5
Area = 3*sqrt(3) * 25/2 = 75 sqrt(3) / 2 of the large hexagon without the smaller one removed.

Step Two
Find the area of the smaller hexagon. In this case a = 4
Area2 = 3*sqrt(3)*16/2 = 3*sqrt(3)*8 = 24 sqrt(3)

Step Three
Find the area of the thick hexagonal area left by the removal of the small hexagon.

Area of the remaining piece = area of large hexagon - area of the small hexagon

Area of the remaining piece = 75 *sqrt(3)/2 - 24*sqrt(3)

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Find the volume of the results of the area from step 3
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I'm going to leave you with the job of changing all of this to a decimal answer. I get about 420 cm^3

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3 years ago
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