Answer:
0.25
Step-by-step explanation:
Hope this helps.
Answer
Speed depends on the amount of force you put into it... it the force is the same on the each surface then it will depend on the roughness of the surface as in friction
is a complex number that satisfies
![\begin{cases}r\cos x=-3\\[1ex]r\sin x=4\\[1ex]r=\sqrt{(-3)^2+4^2}\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dr%5Ccos%20x%3D-3%5C%5C%5B1ex%5Dr%5Csin%20x%3D4%5C%5C%5B1ex%5Dr%3D%5Csqrt%7B%28-3%29%5E2%2B4%5E2%7D%5Cend%7Bcases%7D)
The last equation immediately tells you that
.
So you have
![\begin{cases}\cos x=-\dfrac35\\[1ex]\sin x=\dfrac45\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D%5Ccos%20x%3D-%5Cdfrac35%5C%5C%5B1ex%5D%5Csin%20x%3D%5Cdfrac45%5Cend%7Bcases%7D)
Dividing the second equation by the first, you end up with
Because the argument's cosine is negative and its sine is positive, you know that
. This is important to know because it's only the case that
whenever
. The inverse doesn't exist otherwise.
However, you can restrict the domain of the tangent function so that an inverse can be defined. By shifting the argument of tangent by
, we have
All this to say
So,
.
Answer:
9.2
Step-by-step explanation:
we can use the pythagorean theorem to find the hypotenuse between the centre of the circle and the midpoint of the line segment.
hence,
x = sqrt(36 + 49)
x = 9.21
Answer:
186 cm
Step-by-step explanation:
Since the bicycle wheel is making a rotation and not a revolution, the bicycle wheel is at one point.
The length of the trace of water left on the floor is simply the circumference of the bicycle wheel
Circumference = 2πR
where R = radius of the bicycle wheel
and π = pie
Circumference = 2 × (22/7) × 30 = 188.57143 cm
