Answer:
3) 84°
Step-by-step explanation:
The angle formed by a chord and a tangent measures half of the intercepted arc.
m<A = (1/2)m(arc) = (1/2) * (168 deg) = 84 deg
Answer:
140, 60
Step-by-step explanation:
15x+5 + < CDB =180 line form an 180 angle
180-80-6x-6 = < CDB sum of angles in a triangle is 180
substitute < CDB from second to first
15x+5+180 -80-6x-6 =180
combine like terms
9x -81 =0
x=81/9=9
so angle YDC = 15*9+5 = 140 degrees
and angle DBC = 6*9+6= 60 degrees
Answer:

Step-by-step explanation:
Solution:-
The position of any particle or object lying on a circular surface which is rotating with an angular speed of ( w ).
The motion of the particle/object can be expressed as sinusoidal or harmonic motion. We can express the motion of the particle in the cartesian coordinate system using a sinusoidal waveform.
The position of the particle/object from the central axis at time t = 0 can be given in the form:
h ( t ) = A*sin ( w*t )
Where, A: The amplitude of the particle in motion ( in )
w: The angular frequency of rotation ( rad/s )
The amplitude ( A ) of the sinusoidal waveform is determined from the maximum displacement of the particle/object from the horizontal axis which defined by the radius of the fidget spinner where the particle is located. Hence, A = 4 in
The fidget rotates at 3000 rpm. We need to determine the angular speed of the particle. Assuming no slip conditions, the particle also rotates at 3000 rpm.
We will first convert 3000 rpm into rad/s as follows:

The sinusoidal function that models h ( t ) can be written as:

Answer:
(A)3,500 + 0.06x > 4,000 + 0.04x
Step-by-step explanation:
<u>Jose's Earnings</u>
Monthly Salary = $3,500
6% commission on his sales, x =0.06x
Total = 3500+0.06x
<u>Maris' Earnings</u>
Monthly Salary = $4,000
4% commission on her sales, x =0.04x
Total = 4000+0.04x
If Jose's earnings be greater than Maris' earnings, then:
3500+0.06x > 4000+0.04x
You multiple by the reciprocal
(5/9) x (32/15) = 160/135
Which simplified to 32/27