Translation, alternates between
Answer:
Distance from point AA to point BB = 189.3 feet
Step-by-step explanation:
Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;
distance from point AA to point BB = x - y
To determine the value of x, applying the required trigonometric function;
Tan θ = 
Tan 13 = 
x = 
= 441.81 feet
x = 441.8 feet
To determine the value of y;
Tan 22 = 
y = 
= 252.46
y = 252.5 feet
Thus,
distance from point AA to point BB = 441.8 - 252.5
= 189.3 feet
$40% 0f 20 is 8
40% × 20 = (40/100) × 20 = 8
So, for the semi circle, we need to find the area of a circle then divide it by 2.
pi times r squared
is the area of a circle with the radius of 4
(I'm going to use 3.14 as pi)
So 3.14 times 16 is 50.24
Divide that by 2 and we get 25.12
For the rectangle at the bottom. We know that the radius is four, so we can cut off 4ft from the height, leaving us with 8.
8 times 8 is 64.
To find the area of the whole figure, we add 64 and 25.12 together, getting 89.12
So the area is 89.12 feet squared.
Any questions?
Answer: Mean = 52.8 mins
Step-by-step explanation:
We have lapses of 30 minutes, so we can write the average for each, this means that:
0 < t < 30 can be averaged to the middle of the range: 15 min.
Doing this, we have that:
7 students 15 min
27 students 45 min
12 students 75 min
4 students 105 min.
Now we can calculate the mean:
mean = (x1*n1 + x2*n2 + ...)/N
where x1 is the amount of time 1, and n1 is the number of students associated to that time and so on. N is the total number of students
Mean = (7*15min + 27*45min + 12*75min + 4*105min)/(7 + 27 + 12 + 4)
Mean = 52.8 mins