Answer: 36
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Explanation:
There are 35 girls and 50 boys. Making 35+50 = 85 students total.
Of the 85 students, 42% (see column 1, bottom row) bought their lunch from the cafeteria. So 0.42*85 = 35.7 which rounds to 36
Answer:
90, 92, 94, 96
Step-by-step explanation:
Let the three consecutive even integers be x, (x + 2), (x +4) & (x + 6)
Hence, the three consecutive even integers are 90, 92, 94, 96.
Check out the attached image below. I added a variable y to help find x
tan(angle) = opposite/adjacent
Focusing on the smaller 30-60-90 triangle, we see that
tan(60) = 91/y
y*tan(60) = 91
y = 91/tan(60)
y = 52.53887
now focus on the largest triangle and we see that
tan(30) = 91/(x+y)
0.57735 = 91/(x+52.53887)
0.57735*(x+52.53887) = 91
0.57735*x + 0.57735*52.53887 = 91
0.57735*x + 30.3333165945 = 91
0.57735*x + 30.3333165945 - 30.3333165945 = 91 - 30.3333165945
0.57735*x = 60.6666834055
x = 60.6666834055/0.57735
x = 105.07782697757
x = 105.1
So the final answer is approximately 105.1