Answer:
He is incorrect. The path will have an area of (4)(40) = 160 ft². The yard has an area of 600 ft². The area of the lawn will be the difference of the yard and path, so it is 440 ft².
Step-by-step explanation:
1. Original area of yard
A = lw = 40 × 15 = 600 ft²
2. Area of path
The path is a parallelogram.
A = bh = 4 × 40 =160 ft²
3. Remaining area
Remaining area = original area - area of path = 600 - 160 = 440 ft².
Answer:
Area: 
Step-by-step explanation:
Since all sides of a square have equal lengths, the area of the square is
(a = length of a side).
Since the length of the side of the square is given (is 3cm), the area of the square is
= 
Because "circular-type" functions can be more easily described by the periodic functions

and

, which are deeply involved in the behavior of "circular-type" functions. Also, using a polar coordinate plane allows you to draw graphs of equations that typically aren't functions.
For example, the unit circle requires two equations to be graphed to fully represent the circle in the rectangular coordinate plane.

On the other hand, in polar coordinates, substituting

and

reduces this to a constant function,

(since by definition,

)
Two-fifths (

) of the square of the number j (j²)
j²
Answer:
Step-by-step explanation:
a)
Test statistic:




here test statistic lie in rejection region,that why null hypothesis fails
so Yes, its significant.
b)
Test statistic:




c)
sample variability increases, therefore likelihood of rejecting the null hypothesis decreases.