If you want to find cosP , since angles Z and P are 2 complementary angles then cosZ is the same as cosP so you say the cosP=sinZ=4/5 (property of 2 complement angles in a right triangle)
There is infinitely many ratios which are equivalent to 5:9. As we know always we can write divide as fraction, so

. We can multiply nominator and denominator by the any number (but the same) and get another numbers but ratio will be the same, so equivalent.
For example
10:18,
15:27
Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)
Answer:
the correct option is d. 0.02
Step-by-step explanation:
We have the following events:
x: A drought occurd
y: Water rationing.
Therefore, according to the plaster we have:
P [x] = 0.20
P [y | x] = 0.10
Now P [it is a drought and water rationing happens] =
P [x n y] = P [y | x] * P [x] = 0.10 * 0.20 = 0.02
Which means that the correct option is d. 0.02