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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ANSWER
EXPLANATION
It was given that:
and
Perform the scalar multiplication to obtain:
We add the corresponding components to get;
The first choice is correct.
Answer:
cups of peanuts 6
cups of raisins 12
cups of peanuts : cost of raisins
6:10
Answer:
C. 0.27 amperes.
Step-by-step explanation:
is the current through the ammeter, and is the current through the bigger loop.
Going around the circuit loop gives
and going around the second loop gives
.
Since
,
putting that into equation (2) we get:
Combining equations (1) and (3) we get:
putting this into equation (1) we get:
putting in and we solve for to get:
Equation (4) now gives
which is the current the ammeter will measure and it is give by choice C.
Answer:
95%.
Step-by-step explanation:
We have been given that the lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 7 hours.
We are asked to find the percentage of the bulbs whose lifetimes lie within 2 standard deviations to either side of the mean using empirical rule.
The empirical rule (68-95-99.7) states that approximately 68% of data points lie within 1 standard deviation of mean and 95% of data points lie within two standard deviation of mean. 99.7% of data points lie within three standard deviation of mean.
Therefore, approximately 95% of data points lie within two standard deviation of mean.