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zepelin [54]
3 years ago
15

The graph of a system of parallel lines will have no solutions.

Mathematics
1 answer:
vredina [299]3 years ago
7 0
This is true. Parallel lines have the same slope, and therefore will not cross unless they are the same line. A 'solution' is the point where two or more lines cross through each other. When there is a system of parallel lines, there will be no solutions. If it is the same line, there will be an infinite number of solutions, technically.
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A hot air balloon descends at a rate of 320 feet per minute for 3 minutes. Use integers to calculate and
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Given:
descends at a rate of 320 feet per minute for 3 minutes.

320 feet per minute * 3 minutes = 960 feet

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miskamm [114]

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3 years ago
Solve the triangle.
vova2212 [387]

9514 1404 393

Answer:

  b = 71 m

  A = 83°

  C = 29°

Step-by-step explanation:

Many calculators can solve triangles. Apps are available for phone and tablet, or on the internet, like the one used here. In general, it takes less time to use one of these than to type your question into Brainly.

Given two sides and the angle between them, the Law of Cosines is the appropriate relation to use for finding the third side.

  b = √(a² +c² -2ac·cos(B))

  b = √(76² +37² -2·76·37·cos(67.75°)) ≈ √5015.48

  b ≈ 70.82005 ≈ 71 . . . meters

__

One a side and its opposite angle are known, the remaining angles are found using the Law of Sines.

  sin(A)/a = sin(B)/b

  A = arcsin(a·sin(B)/b) = arcsin(76·sin(67.75°)/70.82005) ≈ 83.33°

  A ≈ 83°

  C = arcsin(37·sin(67.75°)/70.82005) ≈ 28.92°

  C ≈ 29°

Or, you can find the remaining angle from 180° -68° -83°  = 29°.

3 0
3 years ago
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