Answer:
0.034921 miles or 1843774 feet tall
Step-by-step explanation:
Using trigonometric functions we know that
and
where
=angle and r is the hypotenuse of the triangle.
First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:

Now we will calculate the height of the building using the y equation and so:

The building is 0.034921 miles or approximately 184.3774 feet tall.
Answer: 10pi
Step-by-step explanation:
C=2*pi*r
C=2*pi*5
C=10*pi (exact)
This is exact if u want numbers, you’ll have to round-off and you can just put 10xpi into a calculator If u want to see.
No because 3 is a whole number and 1/8 is not
Answer:
The probability that they purchased a green or a gray sweater is 
Step-by-step explanation:
Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:
P(A∪B)= P(A) + P(B) - P(A∩B)
Where:
P (A): probability of event A occurring.
P (B): probability that event B occurs.
P (A⋃B): probability that event A or event B occurs.
P (A⋂B): probability of event A and event B occurring at the same time.
Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)
In this case, being:
- P(A)= the probability that they purchased a green sweater
- P(B)= the probability that they purchased a gray sweater
- Mutually exclusive events
You know:
- 8 purchased green sweaters
- 4 purchased gray sweaters
- number of possible cases= 12 + 8 + 4+ 7= 21
So:
Then:
P(A∪B)= P(A) + P(B)
P(A∪B)= 
P(A∪B)= 
<u><em>The probability that they purchased a green or a gray sweater is </em></u>
<u><em></em></u>
The volume of each container is: 25,133 
Given:
height of container (h) = 80 cm
diameter of container (d) = 20 cm
radius = half of diameter =
of 
Recall:
Volume of a cylinder = 
<em>Substitute the values into the formula:</em>

Therefore, volume of each cylinder is approximately 25,133 
Learn more about volume of cylinder here:
brainly.com/question/971817