Answer:
2.4 hours
Step-by-step explanation:
Resolving a function of any nature means determining your zeros or raizes.
The zeros of a function occur when the function is null.
Then:
f(x) = 3x - 2
To determine the root
f(x) = 0 = 3x - 2
3x = 2
x = 2/3 Final result
Answer: 160 songs.
Step-by-step explanation:
<em>75% hip hop music - 120 songs
</em>
<em>100% all music - x songs
</em>
<em>Let's write the proportion:</em>
<em />
<em />
<em>Thus, Landon have 160 songs in his music library.</em>
9514 1404 393
Answer:
∠Q = 89°
∠R = 123°
∠S = 91°
Step-by-step explanation:
It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.
arc QRS = 2·∠P = 114°
So, ...
arc QR = arc QRS - arc RS = 114° -41° = 73°
The total of the arcs around the circle is 360°, so ...
arc PQ = 360° -arc PS -arc QRS
arc PQ = 360° -137° -114° = 109°
__
∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)
∠Q = 89°
__
∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)
∠R = 123°
__
∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)
∠S = 91°
