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kkurt [141]
3 years ago
9

Each number in a numeric pattern is a ?

Mathematics
1 answer:
Basile [38]3 years ago
6 0
Is a factor or a coefeshent

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A blue boat and a red boat are on the same side of a lake and are 18 miles apart. The blue boat is 30 miles from a lighthouse on
rewona [7]

9514 1404 393

Answer:

  • red boat distance: 42 miles
  • angle at lighthouse: 22°

Step-by-step explanation:

The Law of Cosines can be used to find the distance from the red boat to the lighthouse.

  b² = l² +r² -2lr·cos(B)

  b² = 18² +30² +2·18·30·cos(120°) = 1764

  b = √1764 = 42

The distance from the red boat to the lighthouse is 42 miles.

__

The angle at the lighthouse can be found using the law of sines.

  sin(L)/l = sin(B)/b

  L = arcsin(l/b·sin(B)) = arcsin(18/42·sin(120°)) ≈ 21.79°

The angle between the boats measured at the lighthouse is about 22°.

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3 years ago
Jeff wants to save $4000 to buy a used car. He has already saved $850. He plans to save an additional $150 each week. write and
kupik [55]

Answer:

21 weeks

Step-by-step explanation:

150*21=3150

3150+850=4000

8 0
2 years ago
Easy math question help solve for x
Olegator [25]

Answer:

135

Step-by-step explanation:

Interior angles add up to 180

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x = 135

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2 years ago
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