Answer:
cost of the pool per cubic meters = $5
Step-by-step explanation:
The rectangular pool has a dimension of 30 m by 20 m by 2 m. To know the cost of the pool per cubic meter we have to calculate the volume of the pool . Then divide the total cost of the pool by it volume.
volume of the rectangular pool = length × height × width
volume of the rectangular pool = 30 × 20 × 2
volume of the rectangular pool = 1200 m²
The cost of installation is $6000 . The volume of the pool is 1200 cubic meters.
cost per cubic meters = total cost of installation/volume
cost per cubic meters = 6000/1200
cost of the pool per cubic meters = $5
Answer:
scalene triangle
Step-by-step explanation:
all the sides are unequal
Scalene Triangle - a triangle having three unequal sides and angles
Answer:
A diagonal of this rectangle has length 10.
Step-by-step explanation:
The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4). These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.
Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4). To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.
Thus, the width of the rectangle is 6 and the length is 8.
Using the Pythagorean Theorem, we find the length of a diagonal as follows:
d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.
A diagonal of this rectangle has length 10.
I assume there's a plus sign missing above...
Convert to polar coordinates, using
Then the Jacobian is
Then
so the integral can be written as
Let
, so that
.