Answer: OPTION C.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Notice that the line of f(x) is dashed. This means that the symbol of the inequality must be 
or 
.
Since the shaded region A is above the line, the symbol is
Observe that its y-intercept is:
The line of g(x) is solid. This means that the symbol of the inequality must be 
or 
.
Since the shaded region B is below the line, the symbol is .
Observe that its y-intercept is:
.
Based on this, we can conclude that the graph represents the following System of Inequalities:
R = 25 cm = 0.25 m
α = 2.00 rad /s²
T(heta) = 4 π
ω = T(heta)/ t
ω = α t
α t = 4 π / t
t ² = 2 π
t = √ ( 2π ) = 2.5 s
ω = α t = 2 · 2.5 = 5 rad/s
v = ω r = 5 · 0.25 = 1.25 m/s
(1) a (rad) = ω² r = 25 · 0.25 = 6.25 m/s²
(2) a (rad) = v² / r = ( 1.25 )² / 0.25 = 0.15625 / 0.25 = 6.25 m/s²
Answer:
- inscribed angle: 30°
- central angle: 60°
Step-by-step explanation:
The central angle is double the inscribed angle for the same intercepted arc. Since doubling the angle adds 30° to it, the original inscribed angle must be 30°.
Then the central angle is 30°+30° = 2·30° = 60°.
Answer:
Your answer is C
Step-by-step explanation:
Supplementary angles are angles that come out to 180 degrees when added.
90+90=180
We know that
<span>cos(theta) = 1---------> the value of cos is positive
then
angle theta------> </span><span>could be in the first or fourth quadrant
Part 1) find sin theta
sin</span>² theta+cos² theta=1------> sin² theta=1-cos² theta----> 1-1²----> 0
sin theta=0
Part 2) find csc theta
csc theta=1/sin theta
but sin theta =0
therefore
csc theta-------> <span>it does not exist, it is not defined
</span>
Part 3) find sec theta
sec theta=1/cos theta
cos theta=1
so sec theta=1/1----> sec theta=1
Part 4) find cot theta
cot theta=cos theta/sin theta
but sin theta=0
therefore
cot theta-------> it does not exist, it is not defined
