Answer:
x = 5 , y = 5
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values.
sin30° = 
, cos30° = 
, then
sin30°= 
= 
= ( cross- multiply )
2x = 10 ( divide both sides by 2 )
x = 5
and
cos30° = 
= 
= ( cross- multiply )
2y = 10 ( divide both sides by 2 )
y = 5
The angular velocity is defined by the position angle over time.
Get first the position angle of the pendulum which has the formula of s = rθ where s = arc length, r = radius (or length of the pendulum's string), and θ = position angle. Getting θ, we have <span>θ = s/r = 14.13 ft / 6 ft = 2.355 rad
Thus, the angular velocity is </span>θ/t where t = time; so 2.355 rad / 3 sec = 0.785 rad/sec
Hope this helps.
For a system of equations to have infinitely many solutions it must describe identical lines.
If you multiply the first equation by 2, then move the x term to the left side, you would get 2y-4x=-10
Final Answer:
-10
Hope I helped :)
Answer: y=175
Step-by-step explanation: y&x
y=kx
(Where k is a constant)
When y=60,x=12...we have
60=12k
Divide both side by 12
12k/12=60/12
k=5
Equation becomes y=5k
Finding y when x=35
y=5(35)
y=175
Answer:
1 3/4
Step-by-step explanation:
