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What is the probability of the spinner landing on the section labeled B?
\(\frac{1}{8}\)
\(\frac{1}{5}\)
\(\frac{1}{4}\)
\(\frac{1}{2}\)
This spinner is spun 300 times. Estimate the number of times it would be expected to land on the section labeled B.
Select all formulas that could be used to find the area of this sector. The angle \(\theta\) is measured in radians.
\(\frac12 r^2 \theta\)
\(\frac{\theta}{2\pi}\boldcdot \pi r^2\)
\(\frac{\theta}{360}\boldcdot \pi r^2\)
\(\frac{\pi^2}{r}\boldcdot \theta\)
\(\frac{\theta}{2\pi}\boldcdot 2\pi r\)
Triangle \(ABC\) is shown with an inscribed circle of radius 4 units centered at point \(D\). The inscribed circle is tangent to side \(AB\) at point \(G\). The length of \(AG\) is 6 units and the length of \(BG\) is 8 units. What is the measure of angle \(B\)?
60 degrees
30 degrees
\(2 \arctan \left(\frac12\right)\)
\(\arctan \left(\frac12\right)\)
Select all the true statements.
Angle \(C\) is 30 degrees.
Side \(AC\) is 5 units.
Side \(AB\) is 5 units.
Side \(AC\) is \(5 \sqrt2\) units.
Side \(AC\) is \(10 \sqrt3\) units.