Answer:
0.0083 = 0.83% probability that the boys will stand in alphabetical order from left to right in the picture
Step-by-step explanation:
Probability:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
Arrangments of x elements:
The total number of arrangments of x elements is given by:

Desired outcomes:
Standing in alphabetical order, so only 1 possible outcome, which means that 
Total outcomes:
Arrangments of 5 people, so

Probability:

0.0083 = 0.83% probability that the boys will stand in alphabetical order from left to right in the picture
Answer:
the answer is
Step-by-step explanation:
Answer:
they are equal
Step-by-step explanation:
Consider the right triangle ABC with sides a, b, and c as shown in the figure.
Let m(\angle A)=\alpha, and m(\angle B)=\beta.
\alpha +\beta=90^{\circ}, so angles A and B are complementary.
According to the definition of sine, and cosine:
\displaystyle{ \sin \alpha= \frac{opposite\ side}{hypotenuse} =\frac{a}{c} , and
\displaystyle{ \cos \beta= \frac{adjacent\ side}{hypotenuse} =\frac{a}{c}