Answer:
165
Step-by-step explanation:
180-15=165
I'd start by writing an equation for each of the right triangles. (Pythagorean theorem)
y² + 9² = z²
x² + z² = (4+9)²
4² + y² = x²
we want to find z so combine the equations by substituting the other variables x,y out.
substitute y² for (x² - 4²) in 1st equation.
(x² - 4²) + 9² = z²
now by rearranging the 2nd equation we can substitute x² for (13² - z²)
(13² - z²) - 4² + 9² = z²
169 - z² - 16 + 81 = z²
234 - z² = z²
234 = 2z²
234/2 = z²
117 = z²
√(117) = z
√(9*13) = z
3√(13) = z
13 goes in the box
Step-by-step explanation:
Given that,
Radius of circle, r = 38 cm = 0.38 m
It rotates form 10 degrees to 100 degrees in 11 seconds i.e.
Let 
is the angular velocity of the particle such that, 
We need to find the instantaneous velocity of the particle. The relation between the angular velocity and the linear velocity is given by :
v = 0.053 m/s
So, the instantaneous velocity of the particle is 0.053 m/s. Hence, this is the required solution.
