Answer:D
Step-by-step explanation:
Width of the rectangle is 9 units
Step-by-step explanation:
- Step 1: Let the width of the rectangle be x. Then the length = x - 3. Find dimensions of the rectangle if its area = 54 sq. units
Area of the rectangle = length × width
54 = x (x - 3)
54 = x² - 3x
x² - 3x - 54 = 0
x² + 6x - 9x - 54 = 0 (Using Product Sum rule to factorize)
x(x + 6) - 9(x + 6) = 0
(x + 6)(x - 9) = 0
x = -6, 9 (negative value is neglected)
x = 9 units
She bikes 761.25 miles in all to and from her job in 29 weeks.
Step-by-step explanation:
Distance from her house = 2.625 miles
As this is the distance of one side, she covers same distance for coming back.
Total distance for one day = 2.625 + 2.625 = 5.25 miles
She goes to work for 5 days per week.
29 weeks = 
Total distance covered in 29 weeks;
Total distance = Distance for one day * Days in 29 weeks

She bikes 761.25 miles in all to and from her job in 29 weeks.
Keywords: multiplication, distance
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Answer:
Anna's walk as a vector representation is
and refer attachment.
Step-by-step explanation:
Let the origin be the point 1 from where Ann start walking.
Ann walks 80 meters on a straight line 33° north of the east starting at point 1 as shown in figure below,
Resolving into the vectors, the vertical component will be 80Sin33° and Horizontal component will be 80Cos33° as shown in figure (2)
Ann walk as a vector representation is 
Thus, Anna's walk as a vector representation is 