Answer:
A 1/2
Step-by-step explanation:
Ratio of short length to hypotenuse
= cos60
= 1/2
Complete Question
The complete question is shown on the first uploaded image
Answer:
The line is 
Step-by-step explanation:
From the question we are told that
The line is 
The point is P(0,0 )
Generally the equation for a line is 
Now comparing this with the given equation we see that


Generally the slope of the perpendicular to the given line is mathematically evaluated as

=>
=>
Generally from the univesal equation of a line and the given point we have that
y = mx + c at p(0,0) and
is
0 = -4 (0 ) + c
=> c = 0
Hence the equation perpendicular to the line given at the point given is

Answer:
option A and B

and

Step-by-step explanation:
we have

The formula to solve a quadratic equation of the form
is equal to

in this problem we have

so

substitute in the formula


so

and

Answer:
−a^2 b^2 + 2a + 2b
_________________
a^2
Step-by-step explanation:
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Our angle teta is:
teta = 3pi/4
since that is larger than pi/2 but less than pi that means that our angle lies in II quadrant (x negative y positive)
sin(3pi/4) = √2/2
cosine and tangent of that angle must be negative because of position of the angle.
cos(3pi/4) = -√2/2
tan(3pi/4) = -1