So long as the perimeters are the same, rectangles and squares share the same area. For example, a square that is 2m by 2m across is 4m squared. A rectangle of 4m by 1m across is still 4m squared.
Therefore all we want to do here is see how big we can make our “square” perimeter using the creek. We have three sides to spread 580ft across, therefore if we divide this by 3, we get 193.3ft of fencing per side. If we then square this figure, we will then get the maximum possible area, which comes to 37,377ft squared. (That’s a huge garden).
Answer:
1.5 feet
Step-by-step explanation:
12/8 = 1.5 feet
Answer:
A. -1.6; not significant
Step-by-step explanation:
The z-score of a data set that is normally distributed with a mean of 
and a standard deviation of 
, is given by:
.
From the question, the test score is: 
, the mean is 
, and the standard deviation is 
.
We just have to plug these values into the above formula to obtain:
.
This simplifies to: 
.
.
We can see that the z-score falls within two standard deviations of the mean.
Since 
the value is not significant.
The correct answer is A. -1.6; not significant
In the 
direction we consider the 
subintervals [0, 1] and [1, 2] (each with length 1), while in the 
direction we consider the 
subintervals [0, 2] and [2, 4] (with length 2). Then the lower right corners of the cells in the partition of 
are (1, 0), (2, 0), (1, 2), (2, 2).
Let 
. The volume of the solid is approximately
###
More generally, the lower-right-corner Riemann sum over 
and 
subintervals would be
Then taking the limits as 
and 
leaves us with an exact volume of 
.
