Answer:
76 messages
Step-by-step explanation:
532 divided by 7 = 76
Answer:
15 feet
Step-by-step explanation:
do 8/5=1.6, 24/1.6=15
If s(t) = 3 sin(2 (t - π/6)) + 5, then the derivative is
s'(t) = 3 cos(2 (t - π/6)) • 2 = 6 cos(2 (t - π/6))
The critical points of s(t) occur at the values of t where s'(t) is zero or undefined. s'(t) is continuous everywhere, so we only need worry about the first case. We have
6 cos(2 (t - π/6)) = 0
cos(2t - π/3) = 0
2t - π/3 = arccos(0) + nπ
(where n is any integer)
2t - π/3 = π/2 + nπ
2t = 5π/6 + nπ
t = 5π/12 + nπ/2
If you're only looking for t in the interval [0,2π), then you have four critical points at t = 7π/12, t = 11π/12, t = 17π/12, and t = 23π/12.
Answer:
3. isosceles, acute
5. scalene, obtuse
Step-by-step explanation:
3. Two (and only two) sides are the same length (and their opposite angles are the same measure), so the triangle is isosceles. All angles are less than 90°, so the triangle is acute.
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5. All angles have different measures, so the triangle is scalene. The largest angle is greater than 90°, so the triangle is obtuse.
