Answer:
120 words
Step-by-step explanation:
There are only three possible letters, assuming words can be 1, 2, 3 or 4 letters long:
The number of 1 letter words is 3
The number of 2 letter words is 3² = 9
The number of 3 letter words is 3³ = 27
The number of 4 letter words is 3⁴ = 81
The total number of possible words is:
This tribe's language has 120 words.
Answer:
C
Step-by-step explanation:
Answer:
About 2 students own a pet iguana
Step-by-step explanation:
Step 1
Determine the expression for the total number of students that own pet iguanas as shown;
N=p×T
where;
N=total number of students that own pet iguanas
p=proportion of total students that own pet iguanas
T=total number of students
In our case;
N=unknown
p=0.3 % of students
T=610 students
replacing;
N=0.3% of 610
N=(0.3/100)×610
N=1.83, round up to 2 since 1.83 is closer to 2 than 1
About 2 students own a pet iguana
For this case, what we must do is solve the following system of equations:
tan (50) = h / x
tan (40) = h / (x + 50)
Solving the system we have:
(x + 50) * tan (40) = h
(x) * tan (50) = h
Matching:
(x + 50) * tan (40) = (x) * tan (50)
Rewriting:
x (tan (50) - tan (40)) = 50 * tan (40)
x = 50 * tan (40) / (tan (50) - tan (40))
x = 118.9692621
Substituting:
h = (x) * tan (50)
h = (118.9692621) * tan (50)
h = 141.7820455
Answer:
The height of the building is:
h = 141.7820455 ft