From right triangle trigonometry, we have the following:
,
where the "opposite side" means the opposite side to angle with measure
, and "adjacent side" means the adjacent side to angle with measure
.
is a constant which can be found using a calculator.
In the calculator of the pc press: view - scientific - 35 - tan.
This gives
Thus, back in the equation
we substitute as follows and solve:
Answer: 8.4 cm
Given:
Joining fee = $28
Fee of each event = $4
To find:
Total cost for someone to attend 4 events.
Solution:
Let the number of events be x and total fee be y.
Fee for 1 event = $4
Fee for x events = $4x
Joining fee remains constant. So, the total fee is
Substitute x=4 in this equation.
Therefore, total cost of 4 events is $44.
Answer:
256
Step-by-step explanation:
4^4^4 = 4^(4^4) = 4^256
so written in base 4, there will be 256 zeroes after a 1.
This translates to approximately 154 digits in decimal.
Just like 2^2^2 = 2^4
there will be four zeroes after a 1.
2^2^2=2^(2^2) = 2^4 = 16 = 10000 (16 in base 2).
Answer:
0.36878
Step-by-step explanation:
Given that:
Mean number of miles (m) = 2135 miles
Variance = 145924
Sample size (n) = 40
Standard deviation (s) = √variance = √145924 = 382
probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles
P( 2135 - 29 < z < 2135 + 29)
Z = (x - m) / s /√n
Z = [(2106 - 2135) / 382 / √40] < z < [(2164 - 2135) / 382 / √40]
Z = (- 29 / 60.399503) < z < (29 / 60.399503)
Z = - 0.4801364 < z < 0.4801364
P(Z < - 0.48) = 0.31561
P(Z < - 0.48) = 0.68439
P(- 0.480 < z < 0.480) = 0.68439 - 0.31561 = 0.36878
= 0.36878
Answer:
Step-by-step explanation:
