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Ronch [10]
3 years ago
11

50 POINTS! What is the value of arcsin(−1/2) in degrees?

Mathematics
2 answers:
Veronika [31]3 years ago
4 0

Answer:

-\frac{\pi }{6}

Step-by-step explanation:

arcsin(−1/2) = -arcsin(1/2)

In the table of common values,

-arcsin of 1/2 = π/6 = -π/6

Note: Memorize the results of the common values.

Stella [2.4K]3 years ago
3 0

Answer: 330°

Step-by-step explanation:

arcsin means sin^-1

So, arcsin(−1/2) is sin^-1(−1/2).

Now,

Let y = sin^-1(−1/2)

y = -30°

If range is between 0° and 360° then,

y = 360° - 30°

y = 330°

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Help me please please help me
Lisa [10]

9514 1404 393

Answer:

  1. C
  2. E
  3. B

Step-by-step explanation:

The idea of a "production possibilities curve" is that there is a fixed relationship between possible production of one product and possible production of another. This relationship is presumed to exist because resources used to produce one product are then unavailable to produce the other product.

The graph of the curve generally has increased production in the direction away from the origin. So, points between the curve and the origin represent production choices that do not utilize all available resources of the kind that give rise to the curve. That is, points "inside" the curve represent under-utilization of resources.

1. Point C represents under-utilization.

__

2. Points "outside" the curve are unattainable, because the curve represents production using all available resources.

  Point E is unattainable.

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3. The assumptions behind the curve are that there must be a tradeoff between production of one item and production of another that uses the same resources. That is, increasing production of one item will necessarily decrease production of the other, representing a cost of the increased production of the first item. We call this cost an "opportunity cost", because it represents production opportunity lost with respect to the second item.

  Choice B describes this situation.

_____

<em>Additional comment</em>

The very idea of a "production possibilities curve" represents the sort of simplification that is often used in the study of economics. The real world is much messier, and these curves are always dynamic. They are affected by the regulatory environment, resource quality, technology, product quality, and availability of alternate or competing products, among other things. The very existence of such a curve precludes the possibility of "win-win" situations, which we know are generally available if they are sought after.

6 0
2 years ago
A playground is 58 M wide and 91 what is the perimeter​
cestrela7 [59]

Step-by-step explanation:

To get the perimeter, add up all of the sides.

So, the playground is a rectangle.

It has two sides measuring 58m, and two measuring 91m.

58+58+91+91=298

For the area, length x width

58x90=5278

5 0
2 years ago
Kyra multiplied 0.27 by a power of ten and got 2.7. What power of ten did she multiply by?
sveticcg [70]

Answer:

the answer would be A.

Step-by-step explanation:

Look for how many decimal places the decimal moved and thats how many 0's would be in your number

7 0
3 years ago
2m+n=7<br> 4m+3n=-10<br> Solve using substitution method
jeka57 [31]

Answer:

m=31/2, n=-24. (31/2, -24).

Step-by-step explanation:

2m+n=7

4m+3n=-10

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

n=7-2m

4m+3(7-2m)=-10

4m+21-6m=-10

-2m=-10-21

-2m=-31

2m=31

m=31/2

2(31/2)+n=7

31+n=7

n=7-31

n=-24

5 0
3 years ago
What is the focus of the parabola given the equation y=x^2+4x-1
IrinaK [193]
Let's first rewrite it in vertex form.
Start by completing the square.
y = x² + 4x + 4 - 4 - 1
y = (x + 2)² - 5
(x + 2)² = y + 5

Now, 4a = 1; a = \frac{1}{4}

So, the vertex form is (x + 2)² = 4(\frac{1}{4})(y + 5)
So, we know that the vertex is at (-2, -5).
Since it's a concave up parabola, we just have to change the y-value to find the focus.

∴ F(-2, -5 + \frac{1}{4})
F(-2, \frac{-19}{4})
3 0
2 years ago
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