Arctan (√3 /3) = 30°. = π/6 rad
That is the value searched, in degrees and radians.
You can verifiy that tan(30°) = sin(30°) / cos(30°) = [1/2] / [√3/2] = 1/√3 = √3 / 3
4/6= 8/12
9/12
therefore 9/12 is greater
Answer: Priya practiced for <u>189 minutes
</u>
Tyler practiced for <u>123 minutes
</u>
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The Explanation: Now, Han spent 75 minutes practicing the piano over the weekend
Then, Priya practiced the violin for 152% as much time as Han practiced the piano.
Priya = 152% of 75 minutes + 75 minutes
= 152/100 × 75 + 75
= 1.52 × 75 + 75
= 114 + 75
= 189 minutes
Finally, Priya practiced for <u>189 minutes</u>
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Tyler practiced the clarinet for 64% as much time as Han practiced the piano.
Tyler = 64% of 75 minutes + 75 minutes
= 64/100 × 75 minutes + 75 minutes
= 64 / 100 × 75 + 75
= 0.64 × 75 + 75
= 48 + 75
= 123 minutes
Lastly, Tyler practiced for <u>123 minutes</u>
Answer:
H = 142
Step-by-step explanation:
H - 35 = 107
+35 +35
H = 142
