54° × π/180 = 0.9425radians
The measure of Arc AU of the given Circle Geometry is; 50°
<h3>How to find the measure of arc angle?</h3>
The circle theorem we will apply to solve for the arc measure states that “Measure of angles subtended to any point on the circumference of the circle from the same arc is equal to half of the angle subtended at the center by the same arc.”
We can express the above theorem as;
Angle at the center = 2 × Angle at the circumference
From the attached image below and from the given statement in the question, we are given that; ∠QUA = 111°
Therefore, applying the circle theorem earlier quoted, we can say that; m∠QDA = 2 × ∠QUA
m∠QDA = 2 × 111° = 222°
Which gives;
∠QOA = = 360° - 222° = 138°
∠QOA = ∠QOU + ∠UOA (by angle addition property)
Thus;
∠QOA = 138° = 88° + ∠UOA
∠UOA = 138° - 88° = 50°
Thus, the measure of Arc AU is;
Arc AU = ∠UOA = 50°
Read more about arc angle at; brainly.com/question/27890907
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45
180-135=45
..........................
Answer:
157,143 mm/s
Step-by-step explanation:
Formula for the volume of a sphere is;
V = 4/3 * pi * r^3
dv/dr = 4 pi r^2
dv/dt = dv/dr * dr/dt
dr/dt = 5 mm/s
dr/dt = 4 * pi * r^2
r = d/2 = 100/2 = 50 mm
dr/dt = 4 * 22/7 * 50^2 = 220,000/7
dv/dr = 220,000/7 * 5 = 157,142.8571428571
Approximately 157,143 mm/s
Answer:
y=20,x=9
When doing problems like this it is important to always note: whatever you do to one side of the = sign you have to do to the other side.
Step-by-step explanation:
For this problem it helps that they already give you what y equals to so you can plug y in the top equation to figure out what x is. See attachment for step by step process