Let the height of the building be x. Let the initial distance of the ant from the building be y, then
tan 32 = x/y
y = x/tan 32 . . . . . . . . (1)
tan 22 = x/(y + 66)
y tan 22 + 66 tan 22 = x
y = (x - 66 tan 22)/tan 22 . . . . . . . . (2)
Equating (1) and (2), we have
x/tan 32 = (x - 66 tan 22)/tan 22
x tan 22 = x tan 32 - 66 tan 22 (tan 32)
x(tan 32 - tan 22) = 66 tan 22 (tan 32)
x = (66 tan 22 (tan 32))/(tan 32 - tan 22) = 66(0.4040)(0.6249)/(0.6249 - 0.4040) = 16.6626/0.2208 = 75.4
Therefore, the height of the building is 75.4 feet.
Answer:
h(x) = 0.0045x – 0.4
Step-by-step explanation:
The length of time in hours of two airplane flights are represented by the following functions, where x is the number of miles for the flight.
Flight A: f(x) = 0.003x - 1.2
Flight B: g(x) = 0.0015x + 0.8
Then the function
h(x) = f(x) + g(x) = (0.003 + 0.0015)x + (-1.2 + 0.8) = 0.0045x - 0.4.
Therefore, the third option is the right option. (Answer)
Answer: 13 will be your answer hope this helps
Step-by-step explanation:
Spinning the spinner and tossing the coin is an illustration of probability
The probability of spinning a 1 and tossing a head is 0.10
<h3>How to determine the probability?</h3>
From the table, we have the following parameters:
Total outcomes, n = 10
A 1 and a head, n(H1) = 1
So, the probability of spinning a 1 and tossing a head is:
P(H1) = n(H1)/n
Substitute known values
P(H1) = 1/10
Evaluate the quotient
P(H1) = 0.10
Hence, the probability of spinning a 1 and tossing a head is 0.10
Read more about probability at:
brainly.com/question/251701
Answer:
ok sure but do you play rblx
