Answer:
cos(45°) = (√2)/2
Step-by-step explanation:
The cosine of 45° is the x-coordinate of the point on the unit circle where the line y=x intersects it. That is, it is the positive solution to the equation ...
x^2 +x^2 = 1
x^2 = 1/2 = 2/4 . . . . . collect terms, divide by 2, express the fraction with a square denominator
x = √(2/4) . . . . . . take the square root
x = (√2)/2 . . . . . simplify
The cosine of 45° is (√2)/2.
Answer:
The total number of ways are 168.
Step-by-step explanation:
Consider the provided information.
There are 7 junior and 3 senior coders in her group.
The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person.
For second project we have 3 choices and for third project we have 7 choices.
Now there are 2 possible case:
Case I: If first and second coder is senior, then the total number of ways are:
Case II: If first and third coder is junior, then the total number of ways are:
Hence, the total number of ways are: 42+126=168
The side length is 5 units, and the area is 25 square units
<h3>What are areas?</h3>The area of a shape is the amount of space it occupies
<h3>What is the area of a square</h3>The area of a square is the product of its dimensions
From the graph, the coordinates of the square can be assumed to be:
The side length of the square is then calculated using the following distance formula
So, we have:
The area of the square is the calculated as:
This gives
Hence, the side length is 5 units, and the area is 25 square units
See attachment for the diagram of the shape
Read more about areas at:
