Answer: The height of the building = 56 feet.
Step-by-step explanation:
Let AB be the height of the building and BC be the distance of the car from the building on the ground.
Now , ∠ C = 32° [Alternate interior angles ]
According to the trigonometry,
Hence, the height of the building = 56 feet.
Answer:
μ = 0.169
ME = 0.051
Step-by-step explanation:
The confidence interval is:
CI = μ ± ME
So the mean is the middle of the confidence interval, and the margin of error is half the difference.
μ = (0.118 + 0.220) / 2 = 0.169
ME = (0.220 − 0.118) / 2 = 0.051
Answer:
4,500
Step-by-step explanation:
150 x 30
15 x 3 = 45, add 2 0's at end, 4,500
Answer:
12
Step-by-step explanation:
The least common multiple of {6,8,12} is 24. This can be intuitively figured by noting that any multiple of 12 is a multiple of 6 and that 12 is 1.5x larger than 8. That means we only have so multiple 12 by 2 and 8 by 3 for them to be equal. The GCF of {20,42,72} is 2 as the prime factorization of 20 is 2x2x5 and 42 is 2x3x7. That means even without having to check 72 (which is clearly even so 2 is a factor), we know that 2 is the greatest common factor that they could share. So X/Y = 24/2 = 12
