Answer:
Average time for West Middle was maximum.
Step-by-step explanation:
Average time for a track meet for schools =
For Eastbay Middle,
Average time per mile =
= 6 minutes per mile
For Northwest Middle,
Average time =
= 5 minutes per mile
For South Central Middle,
Average time =
= 7 minutes per mile
For West Middle,
Average time =
= 8 minutes per mile
Therefore, average time for West Middle (8 minutes per minute) was maximum.
Answer:
B
Step-by-step explanation:
Answer:
18 5/12 is the answer.
Step-by-step explanation:
Answer:
angle 2 = 22°
Step-by-step explanation:
When added together, angles 1 and 2 equal angle ABD.
Thus, angles 1 and 2 added together results in 109°.
Represent angle 1 as angle 2 plus 65°.
Our equation then becomes angle 2 + 65° + angle 2 = 109°.
Subtracting 65° from both sides, we get: 2·angle 2 = 44°.
Dividing both sides by 2 results in:
angle 2 = 22°
Answer:
sin(2A) = (2√2 + √3) / 6
Step-by-step explanation:
2A = (A+B) + (A−B)
sin(2A) = sin((A+B) + (A−B))
Angle sum formula:
sin(2A) = sin(A+B) cos(A−B) + sin(A−B) cos(A+B)
sin(2A) = 1/2 cos(A−B) + 1/3 cos(A+B)
Pythagorean identity:
sin(2A) = 1/2 √[1 − sin²(A−B)] + 1/3 √[1 − sin²(A+B)]
sin(2A) = 1/2 √(1 − 1/9) + 1/3 √(1 − 1/4)
sin(2A) = 1/2 √(8/9) + 1/3 √(3/4)
sin(2A) = 1/3 √2 + 1/6 √3
sin(2A) = (2√2 + √3) / 6