Answer:
The perimeter of a square with an area of 900 square feet is 120 ft.
Step-by-step explanation:
Calculation of the perimeter of the square:
Since the area is 900 square feet
We know that
The area of square =
So, length of one side should be 30
Now the perimeter should be
= 4(30)
= 120 ft.
Hence, The perimeter of a square with an area of 900 square feet is 120 ft.
It is in the ten thousands place
Answer:
<em>71.6 degrees </em>
Step-by-step explanation:
The formula for calculating the angle between two vectors is expressed as;
u.v = |u||v|cos theta
u.v = (8, 4).(9, -9)
u.v = 8(9)+4(-9)
u.v = 72-36
u.v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+(-9)²
|v| = √81+81
|v| = √162
36 = √80*√162 cos theta
36 = √12960 cos theta
36 = 113.84 cos theta
cos theta = 36/113.84
cos theta = 36/113.84
cos theta = 0.3162
theta = arccos (0.3162)
<em>theta = 71.6 degrees </em>
<em>Hence the angle between the given vectors is 71.6 degrees </em>
Answer:
Below in bold.
Step-by-step explanation:
i) Amount = 15000(1 + 0.10)^2 = 18,150.
Interest = 3,150.
ii) Amount = 15620(1 + 0.08/2)^(3/2*2)
= 15620(1 + 0.04)^3
= 17,570.38.
Interest =1,950.38.
iii) Amount = 100000(1 + 0.04/4)^(3)
= 100000(1 + 0.01)^3
= 103,030.1
Interest = 3030.1.
