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:
(4x^2 + 3)(x + 3)
Step-by-step explanation:
Split the equation in the middle so you can factor it out:
4x^3 + 12x^2 | + 3x + 9
Then factor out:
4x^2(x + 3) | 3(x + 3)
Congrats, you completed your equation:
(4x^2 + 3)(x + 3)
Answer:

Step-by-step explanation:
1.660
we would only move the decimal point once.
1.66 * 10^0
10^0 = 1
Oh this is a hard one I will get back to you whenever I get it
Answer:
4.27%
Step-by-step explanation:
We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.
We will use z-score formula to solve our given problem.

z = z-score,
x = Random sample score,
= Mean,
= Standard deviation.
Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.




Now, we need to find
.
Using formula
, we will get:

Using normal distribution table, we will get:



Therefore, 4.27% of college students sleep for more than 9.6 hours.