Answer: Choice B
Building A; it is around 50.34 feet taller than building B
======================================================
Explanation:
Draw two right triangles such that they both have a reference angle of 40 degrees. Since it's an angle of elevation, place the angle near the horizontal side.
Opposite each reference angle is the height of the building, which we'll call h.
The adjacent side is the horizontal distance from the person to the building.
Building A is 120 ft away so it's height is...
tan(angle) = opposite/adjacent
tan(40) = h/120
h = 120*tan(40)
h = 100.69
This value is approximate. Make sure your calculator is in degree mode.
-----------------
Repeat the same idea for building B, except the adjacent side is smaller this time.
tan(angle) = opposite/adjacent
tan(40) = h/60
h = 60*tan(40)
h = 50.35
This value is approximate.
-----------------
Now subtract the heights
100.69 - 50.35 = 50.34
This shows that building A is roughly 50.34 taller than building B.
Answer:9/4
Step-by-step explanation:multiply 2.25 by 100 so you get 225/100 and reduce
Answer:
0.0879 is the probability that out of 5 randomly selected consumers, three are comfortable with delivery by drones.
Step-by-step explanation:
We are given the following information:
We treat drone deliveries as a success.
P(consumers comfortable having drones deliver) = 25% = 0.25
Then the number of consumers follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
We have to evaluate:
P(Exactly 3 customers out of 5 are comfortable with delivery by drones)
Here,
Putting values, we get,
0.0879 is the probability that out of 5 randomly selected consumers, three are comfortable with delivery by drones.
Answer:
4 quarters. Each quarter costs 25 cents. 25 x 4=100. There are 100 cents in a 1 dollar, so that's why 4 quarters= 1 dollar.