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BaLLatris [955]
3 years ago
6

Use an addition or subtraction formula to find the exact value of the expression, as demonstrated in example 1. sin(105°)

Mathematics
1 answer:
LekaFEV [45]3 years ago
5 0
105° can be expressed as 60°+45°.  What we have then is sin(60°+45°).  The sum pattern for sin is sin(a)cos(b)+cos(a)sin(b).  We will fill in as follows: sin(60)c0s(45)+cos(60)sin(45).  Now draw those special right triangles in the first quadrant to get the exact values for each.  The sin of 60 is \frac{ \sqrt{3} }{2}, the cos of 45 is \frac{1}{ \sqrt{2} }, the cos of 60 is 1/2, and the sin of 45 is \frac{1}{ \sqrt{2} }.  When we put all that together we get ( \frac{ \sqrt{3} }{2} * \frac{1}{ \sqrt{2} } )+( \frac{1}{2}* \frac{1}{ \sqrt{2} }).  Simplifying all of that we have \frac{ \sqrt{3} }{2 \sqrt{2} } + \frac{1}{2 \sqrt{2} }.  We can put that over the common denominator that is already there and get \frac{1+ \sqrt{3} }{2 \sqrt{2} }.  Not sure if that's simplified enough; you may be at the point in class where you are rationalizing your denominator, but I'm not sure, and if you're not, I don't want to confuse you. 
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Answer:

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Step-by-step explanation:


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Answer:

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A line that has a rise of -34 and a run of 20.
aleksandr82 [10.1K]

Answer:

y=-1.7x-34

Step-by-step explanation:

An equation of a line is given y=mx+c, where m is the gradient or \frac{Rise}{Run}

The rise indicates the change in value of y (vertical change in the graph).

The run indicates the change in value of x (horizontal change in the graph).

Let point 1 of the graph be (x,y) = (0,-34) and point 2 be (x,y) = (20,0).

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Substitute point 1 into the graph to get the constant c.

y=mx+c

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∴ The equation of the line is, y=-1.7x-34

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3 years ago
What is 4x-4y/2=x+2 in slope intercept form?
Alla [95]

Answer:

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Step-by-step explanation:

To find the answer in slope-intercept form, simply solve for y.

4x-4y/2=x+2 ----> Subtract 4x from both sides

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y = 3/2x - 1

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3 years ago
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Answer:

5*4*4=80

Step-by-step explanation:

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