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Mice21 [21]
3 years ago
15

Determine the number of subsets of 3,4,5,6,7,8,9,10,11,12,13,14,15

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer:

  8192

Step-by-step explanation:

The number of subsets of an n-element set is 2^n.

Your set has 13 elements, so has 2^13 = 8192 subsets.

__

This count includes the empty set and the full set.

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How many solutions does a triangle with side lengths a = 4, A = 112º and b =<br>9 have?​
Ainat [17]

Answer:

This case has NO solutions.

Step-by-step explanation:

Notice that you are in a case of an obtuse triangle (one of its angles is larger than 90 degrees), the side opposite to the obtuse triangle is shorter than the side adjacent to the angle, so no actual triangle can be formed.

This can be found by simply trying to apply the Law of Sines to solve for the value of angle "B" opposite to side "b":

\frac{sin(A)}{a} =\frac{sin(B)}{b}\\sin(B)=\frac{b\,sin(A)}{a}\\sin(B)=\frac{9\,sin(112^o)}{4}\\\\sin(B)=2.086

As shown above, we get an impossible mathematical condition (also call an absurd), since the sine of an angle cannot give a value larger than 1 (one).

Therefore, there is no angle we can find to build a triangle with the given data.

7 0
3 years ago
− 0.25(−8+12) PLS HELP I HAVE A TESTTTT
Semmy [17]

Answer: -1

Step-by-step explanation:

− 0.25(−8+12) = -0.25 x 4 =-1

3 0
3 years ago
Describe youre version of a best freind
Alecsey [184]

Answer:

To me is a best freind is someone who has my back no matter what.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which is the graph of the function f(x)= negative square root x
Vsevolod [243]
First, note that \sqrt{x} is always positive (except for x=0), so -\sqrt{x} must be always negative.

Thus, the only plausible graphs are 1 and 3 since they are below the x-axis.

Now, \sqrt{x} and -\sqrt{x} are only defined for x≥0, because only for these x'es we can take the square root. 

Note that the third graph has domain (-infinity, 0], so it is not the right one, while 1 is ok.


Answer: first graph  


6 0
3 years ago
A. Find the complement of the angle shown
KatRina [158]
<span>A. Find the complement of the angle shown 

90 - 52 = 38

</span><span>B. Find the supplement of the angle shown. 

180 - 52 = 128

hope that helps</span>
7 0
3 years ago
Read 2 more answers
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