Answer:
The direction angle of vector v is equal to 
Step-by-step explanation:
Let

The vector v is given by




Remember that
The direction angle of the vector is equal to

substitute the values


Answer:
4
Step-by-step explanation:
The cardinality of a set is the number of members in the set. So besides the numbers in between the 18 and 58 you currently have 4.
The better deal is the 200 calculators
Answer:
The correct expression for the perimeter is 
see the explanation
Step-by-step explanation:
The complete question in the attached figure
Let
L ----> the length of rectangle
W ---> the width of rectangle
we know that
The perimeter of rectangle is equal to

In this problem we have


substitute the values



Simplify

so
Michelle didn't multiply the sum of length and width by 2
Step-by-step explanation:
2. 10x - 3 + 2x - 5 and 4(3x - 2)
10x - 3 + 2x - 5
Upon simplifying;
10x + 2x - 3 - 5
12x - 8
4(3x - 2)
12x - 8
Both expressions are equivalent - Yes!
3. 3y + 3 and 9(y + 1/3)
9(y + 1/3)
upon simplifying;
9y + 9 (1/3)
9y + 3
3y + 3
Both expressions are not equivalent - No!
4. 6(3x + 1) and 9x + 6 + 9x
6(3x + 1)
upon simplifying;
6(3x) + 6 (1)
18x + 6
9x + 6 + 9x
Upon simplifying;
9x + 9x + 6
18x + 6
Both expressions are equivalent - Yes!