Answer:
sin θ =
Step-by-step explanation:
Given that,
cos θ =
From the trigonometric functions,
cos θ =
⇒ adjacent = , and the hypotenuse = 3
Let the opposite side be represented by x, applying the Pythagoras theorem we have;
=
+
=
+
9 = 3 +
= 9 - 3
= 6
x =
Thus, opposite side =
So that,
sin θ =
=
Therefore,
sin θ =
Answer:
b. One in Five
Step-by-step explanation:
To calculate probability, we need to know the formula:
in this case the probability is given in its decimal form, which is = 0.20
∴ to be able to use our formula easily, we will need to convert the probability to its fraction form.
which is 0.20 = (<em> to do this, just simply put a 1 under the decimal point and replace the remaining values of 20 with zeroes)</em>
reducing to its simplest form gives
.
Hence, relating it to our formula, we can see that the number of possible out comes is = 1
and the total number of outcomes = 5.
This means that the probability that the order will execute before the same of closing is the same as 1 in 5