No such thing as cot (61,4). I think you meant to say cot (61.4°). See the difference?
So, cot (61.4°) is approximately -0.139844.
Rounded to 3 decimal places we get -0.140.
To get the points at which the two boats meet we need to find the equations that model their movement:
Boat A:
vertex form of the equation is given by:
f(x)=a(x-h)^2+k
where:
(h,k) is the vertex, thus plugging our values we shall have:
f(x)=a(x-0)^2+5
f(x)=ax^2+5
when x=-10, y=0 thus
0=100a+5
a=-1/20
thus the equation is:
f(x)=-1/20x^2+5
Boat B
slope=(4-0)/(10+10)=4/20=1/5
thus the equation is:
1/5(x-10)=y-4
y=1/5x+2
thus the points where they met will be at:
1/5x+2=-1/20x^2+5
solving for x we get:
x=-10 or x=6
when x=-10, y=0
when x=6, y=3.2
Answer is (6,3.2)
Answer:
Step-by-step explanation:
tan is defined as: 
sin is defined as: 
cos is defined as: 
We can also define tan as: 
because plugging in the definitions of sin and cos in we get: 
which you'll notice is the original definition of tan(x)
So using this definition of tan(x) we can use the givens sin(x) and cos(x) to find tan(x)
plugging in sin(x) and cos(x) we get:
We usually don't like square roots in the denominator, and from here we want to rationalize the denominator which we do by removing the square root from the denominator.
We can do this by multiplying the fraction by: 
which doesn't change the value of the fraction since it simplifies to 1, but it gets rid of the square root in the denominator
First multiply both sides by 7
Your equation now looks like this:
x-28=0
Now move the constant to the other side causing it to change signs
The negative now becomes a positive
x=28
Now you are left with your answer:
x=28
Hope this helps! :3
Answer:
the correct answer is (-1, 2)
Step-by-step explanation:
