Answer:
Step-by-step explanation:
So the angle of elevation to the light source is:
tanα=h/x
α=arctan(h/x)
α=arctam(50/75)°
α≈33.69°
Answer:
2028
Step-by-step explanation:
The LCM of 4 and 6
Prime factors of 4 are 2*2
Prime factors of 6 are 2*3
Therefore, LCM is 2*2*3=12
Therefore, another time when elections coincide is after every 12 years
2016+12=2028
Answer:
89.84375
Step-by-step explanation:
Given that on a finance exam, 15 accounting majors had an average grade of 90. On the same exam, 7 marketing majors averaged 85, and 10 finance majors averaged 93.
To find weighted mean.
Here weights can be considered as number of majors in each subject
Weighted total = 1350+595+930 = 2875
Weighted mean = weighted total/total students
Answer:
0.5 seconds and 1.5 seconds.
Step-by-step explanation:
h(t) = -16t^2 + 32t + 2
14 = -16t^2 + 32t + 2
16t^2 - 32t - 2 + 14 = 0
16t^2 - 32t + 12 = 0
8t^2 - 16t + 6 = 0
4t^2 - 8t + 3 = 0
(2x - 3)(2x - 1) = 0
2x - 3 = 0
2x = 3
x = 3/2
x = 1.5
2x - 1 = 0
2x = 1
x = 1/2
x = 0.5
So, the ball was at 14 feet at 0.5 seconds and 1.5 seconds.
Hope this helps!