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brilliants [131]
4 years ago
9

Find the solution set for a + 4 < 6 if the replacement set is [0, 1, 2, 3, 4]

Mathematics
1 answer:
Burka [1]4 years ago
8 0

Answer:

1

Step-by-step explanation:

5<6 so 5 is less that 6 so 4+1 is 5 and it's 5<6

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two sides of a parallelogram meet at an angle of 50 degrees. If the length of one side is 3 meters and the length of the other s
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Answer:

The longer diagonal has a length of 7.3 meters.

The angles are 31.65° and 18.35°

Step-by-step explanation:

If one angle of the parallelogram is 50°, another angle is also 50° and the other two angles are the supplement of this angle. so the other three angles are:

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The longer diagonal will be the one opposite to the bigger angle (130°), and this diagonal divides the parallelogram in two triangles.

Using the law of cosines in one of these two triangles, we have:

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diagonal^2 = 53.284

diagonal = 7.3\ meters

So the longer diagonal has a length of 7.3 meters.

To find the angles that this diagonal forms with the sides, we can use the law of sines:

a / sin(A) = b/sin(B)

5 / sin(A) = diagonal / sin(130)

sin(A) = 5 * sin(130) / 7.3

sin(A) = 0.5247

A = 31.65\°

The other angle is B = 50 - 31.65 = 18.35°

Please check the image attached for better comprehension.

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3 years ago
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