.53333333 or as a fraction its 1 1/15
It is 30 degrees. Add 90 and 60 to get 180. Then subtract that from 180, since all triangles interior angles add to 180. You’ll get 30.
Answer:
Step-by-step explanation:
given the expression;
cos(2x) = cos(x)
According to trig identity;
cos(2x) = cos(x+x)
cos(2x) = cos x cos x - sinx sinx
cos(2x) = cos²(x)-sin²(x)
cos(2x) = cos²(x)-(1-cos²x)
cos(2x) = cos²(x)+cos²x-1
cos(2x) = 2cos²(x)-1
2cos²(x)-1 = cos(x)
let P = cosx
2P²-1 = P
2P²-P-1 = 0
Factorize;
2P²-2P+P-1 = 0
2P(P-1)+1(P-1) = 0
2P - 1 = 0 and P-1 = 0
P = 1/2 and 1
cosx = 1/2 and cos x = 1
x = arccos 1/2
x = π/3
Also;
x = arccos1
x = 0
Hence the value of x are 0 and π/3
Also the angle = π+ π/3 = 4π/3
The angles are 0, π/3 and 4π/3
Answer:
5.13 feet
Step-by-step explanation:
Engine is driving the propeller with a radius of 8 feet and its centerline 13 feet above the ground.
And the speed is 700 revolutions per minute, the height of one propeller tip as a function of time is given by:
We have been asked to find the value of height, 'h', when t=4 minutes.
Plugging the value of time, 't', in the equation, we already know that we need to use degrees (not radians) we get:
So the height of one propeller tip at t=4 minutes is 5.13 feet.
Slope/m=3-(-7)/-3-2=10/-5=-2
slope/m=-2
y=-2x+b
b= 3=-2*-3+b
b=-3
