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goldenfox [79]
3 years ago
13

A dealer bought an item for $20, sold it for $24, bought it for $25, and sold it for $28. How much profit did she make?

Mathematics
1 answer:
tatiyna3 years ago
6 0
Her profit was around the amount of $7-$52
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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.

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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:

50°, 130° and 130°.

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:

diagonal^2 = a^2 + b^2 - 2ab*cos(130\°)

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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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