What is the square root of -1
2 answers:
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To find the resultant vector you need to add the horizontal and vertical components of each individual vector.
Cosine for horizontal, Sine for vertical.
Where |v| is magnitude or length of vector.
Lets look at first ranger station. First vector has magnitude 4.5 with angle of 90.
Next has magnitude of 8.1 with angle of 125.
Find magnitude:
Do the same with 2nd ranger station:
Therefore the 2nd ranger station is closest to starting point.
Cosine for horizontal, Sine for vertical.
Where |v| is magnitude or length of vector.
Lets look at first ranger station. First vector has magnitude 4.5 with angle of 90.
Next has magnitude of 8.1 with angle of 125.
Find magnitude:
Do the same with 2nd ranger station:
Therefore the 2nd ranger station is closest to starting point.
Given:
To find:
The simplified rational expression by subtraction.
Solution:
Let us factor . It can be written as
.
using algebraic identity.
LCM of
Make the denominators same using LCM.
Multiply and divide the first term by (x + 1) to make the denominator same.
Now, denominators are same, you can subtract the fractions.
Expand .
Answer:
The rug has covered approximately 95 square feet of the living room.
Step-by-step explanation:
Given:
Diameter of rug = 11 feet
We need to find the area covered in living room by the rug.
Solution:
Diameter of rug = 11 feet
Radius is half of the diameter.
Radius of the rug =
Now it has been given that rug is in circular shape.
So we will find the area of the rug using Area of circle formula which is given by π times square of the radius.
Framing in equation form we get;
area of the rug =
Hence The rug has covered approximately 95 square feet of the living room.