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romanna [79]
2 years ago
8

Evaluate. Write your answer in simplified, rationalized form. Do not round.

Mathematics
1 answer:
borishaifa [10]2 years ago
3 0

Answer:

  cos(45°) = (√2)/2

Step-by-step explanation:

The cosine of 45° is the x-coordinate of the point on the unit circle where the line y=x intersects it. That is, it is the positive solution to the equation ...

  x^2 +x^2 = 1

  x^2 = 1/2 = 2/4 . . . . . collect terms, divide by 2, express the fraction with a square denominator

  x = √(2/4) . . . . . . take the square root

  x = (√2)/2 . . . . . simplify

The cosine of 45° is (√2)/2.

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A farmer has 20 acres to plant in wheat and barley. He has to plant at least 15 acres. Wheat costs $200 per acre to plant and ba
maria [59]

Answer:

  • 16 acres of barley only (no acres of wheat)

Step-by-step explanation:

A graph shows cost of planting puts an upper limit on planted area. The lower limit is provided by the requirement to plant at least 15 acres. The vertices of the feasible solution region are ...

  (wheat acres, barley acres) = {(0, 15), (0, 16), (3, 12)}

The profit associated with these scenarios will be ...

  for (0, 16): 16·350 = 5600

  for (3, 12): 3·450 +12·350 = 1350 +4200 = 5550

To maximize profit, the farmer should plant 16 acres of barley.

4 0
3 years ago
Is (4,-5), (0,-5), (11,30), (17,10) a function
Ratling [72]

Answer:

Yes, it is a function

Step-by-step explanation:

A function is a set of ordered pairs where there is no two of the same domain. The domain is the first coordinate which is x. In this case, the x coordinates are 4, 0, 11, 17. There is no two of the same domain so this is a function.

Hope This Helps :)

4 0
3 years ago
18,234.9+516.1 show your work
butalik [34]

Answer:

18,751

Step-by-step explanation:

18 234 . 9

516 . 1

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

18 751 . 0

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

3 0
2 years ago
Read 2 more answers
Please Help ASAP .......
Alekssandra [29.7K]
If it’s asking for Volume then the answer is 226.19.
If it’s surface area then it would be 207.35
5 0
3 years ago
Read 2 more answers
Which value of k makes the inequality 11+2k>19 true?
Vadim26 [7]

Answer:

6.

Step-by-step explanation:

11 + 2k > 19

2k > 19 - 11

2k > 8

k > 8/2

k > 4.

4 0
3 years ago
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