The circle has radius 6 feet, so its total circumference is 2<em>π</em> • (6 ft) = 12<em>π</em> ft.
As an arc, the complete circle corresponds to a central angle of 2<em>π</em> radians. So the red arc corresponds to a central angle <em>θ</em> such that
<em>θ</em> / (15 ft) = (2<em>π</em> rad) / (12<em>π</em> ft)
Then
<em>θ</em> = (15 ft) • (2<em>π</em> rad) / (12<em>π</em> ft) = 15/6 rad = 2.5 rad
Answer:
252
Step-by-step explanation:
He earns 2522 for 18 hours of work.
Given that <span>a particular candidate for public office is in fact favored by 48% of all registered voters in the district, thus p = 0.48
If </span><span>a polling organization will take a random sample of 550 voters, i.e. n= 550.
</span>T<span>he approximate probability that p̂ will be greater than 0.5 is given by:

Therefore, </span><span>the
approximate probability that p̂ will be greater than 0.5, causing the
polling organization to incorrectly predict the result of the upcoming
election is 0.1739.</span>
1. D. The triangles have two given sides with an included angle, so the postulate would be SAS.
2. A. The triangles have three given sides, so the postulate would be SSS.