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borishaifa [10]
3 years ago
6

Find sin(α) in the triangle.

Mathematics
2 answers:
Katena32 [7]3 years ago
8 0

Answer:

sin a = 0.689

Step-by-step explanation:

in the image

Anastasy [175]3 years ago
8 0

Answer:

sin\alpha =0.689  

Step-by-step explanation:

cos\alpha = \frac{(29)^{2}+(21)^{2}-(20)^{2}   }{2(21)(29)}  =\frac{882}{1218} =0.724

equivalent to:\alpha =cos^{-1} (0.724)=43.61^{o}

sin43.61=0.689

Hope this helps

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Determine which system below will produce infinitely many solutions. −6x + 3y = 18 4x − 3y = 6 2x + 4y = 24 6x + 12y = 36 3x − y
vodomira [7]

Answer:

Option C is correct.

System of equation which will produce infinitely many solutions:

3x - y = 14        

-9x +3y = -42  

Step-by-step explanation:

From the options

Only equation which is infinitely many solutions is

3x - y = 14                ......[1]

-9x +3y = -42           ......[2]

For infinitely many solutions, we are looking for linearly dependent equations, which means one equation is an exact multiple or sub-multiple of the other.

Multiply [1] by -3 we get

-3(3x-y) = -3\cdot 14

or

-9x + 3y = -42 which is same equation as [2]

therefore. by definition of infinitely many solution,

equation 2 is -3 times(or multiple) of equation 1






4 0
3 years ago
Read 2 more answers
Whats the slope of (-3,-2) and (5,4)
Sphinxa [80]
Hello,

Slope is rise/run, or y/x, and if you are given two pairs of points, this is the equation needed:  (y2-y1) over (x2-x1).

Let me plug in the numbers: (4-(-2) over 5-(-3). And that is 6/8, which then is simplified to 3/4. So the slope of those two given points is 3/4. We do not divide or simplify it into a decimal because slope is a fraction, so we leave 3/4 as it is. 

Hope this helps, and that my explanation is not too confusing!

May
4 0
4 years ago
Read 2 more answers
Which equation can be simplified to find the inverse of y = 2x2?
irakobra [83]

Given:

y=2x^2

To find:

The equation that can be simplified to find the inverse of given equation.

Solution:

We have,

y=2x^2

To find the inverse first we have to interchange x and y.

x=2y^2

Now, we to solve this equation for y to find the inverse.

So, the equation x=2y^2 can be simplified to find the inverse of given equation.

Therefore, the correct option is 4.

3 0
3 years ago
Wich is the unknown number? which property did u use?
Gwar [14]
The answer is 9. because... (8+9) + 32= 49
3 0
3 years ago
Read 2 more answers
Find the values of x for which the denominator is equal to zero for y=3x+6/x^2-5x+6
lilavasa [31]

Answer:

x = 2

and

x = 3

Step-by-step explanation:

The function given is:

y=\frac{3x+6}{x^2-5x+6}

In this fraction, the bottom part is the denominator. We need to set it equal to 0 and solve for 2 values of x.

x^2-5x+6=0\\x^2-3x-2x+6=0\\x(x-3)-2(x-3)=0\\(x-2)(x-3)=0\\x=2,3

This is middle term factorization process. Hence the 2 solutions (roots) of the denominator is:

x = 2, 3

3 0
3 years ago
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