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Nana76 [90]
2 years ago
12

The sum of two consecutive odd integers is greater than 36 (solve with an inequality and show work please)

Mathematics
1 answer:
mixas84 [53]2 years ago
4 0
O+o+2>36
2o>34
o>17
o1>17
o2>19
o is equal to odd number
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The gcf of two numbers less than or equal to 12 is 2. Their LCM is 20.What are the numbers?
bixtya [17]

We know:

LCM(a,\ b)=\dfrac{ab}{GCF(a,\ b)}

We have

GCF(a,\ b)=2,\ LCM(a,\ b)=20,\ a\leq12,\ b\leq12

Substitute:

20=\dfrac{ab}{2}\qquad|\cdot2\\\\ab=40

40=1\cdot40=2\cdot20=4\cdot10=5\cdot8

Only 4 and 10 meet the requirements of the question.

--------------------------------------------------------------------

40 and 1 NOT, because 40 > 12

20 and 2 NOT, because 20 > 12

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How many centimeters make up a triangle.
Eva8 [605]

Answer:

120cm

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A triangle has a perimeter of 120 cm and two sides of 30 cm and 40 cm. Calculates the area. A right triangle has a cathetus of 10 cm and the hypotenuse 26 cm.

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Two sides of a triangle measure 8 cm and 15 cm. Whi[:h could be the length of the third side?
lutik1710 [3]

18 cm is correct .

Step-by-step explanation:

The sum of two smaller sides is greater that the largest side.

It is given that the two sides of a triangle measure 8 cm and 15 cm.

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<em>Third side < 8 + 15</em>

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<em>Case 2: Let 15 cm is the largest side.</em>

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7 < Third side

It means 3rd side must be greater than 7.

Since only 18 is less than 23 and greater than 7, therefore the possible length of third sides is 18 cm and option 2 is correct.

8 0
2 years ago
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