Answer:
2.295 seconds
Step-by-step explanation:
39.09-36.795
=2.295 seconds
PLS GIVE BRAINLIEST
Often, variability is most usefully expressed in the same units as the original data. That's what <em>standard deviation</em> (square root of variance) does. In situations where that is the case, the variance is useful only for getting to the value of standard deviation.
Other answers are coming soon :)
Answer:
- 50 ft by 75 ft
- 3750 square feet
Step-by-step explanation:
Let x represent the length of the side not parallel to the partition. Then the length of the side parallel to the partition is ...
y = (300 -2x)/3
And the enclosed area is ...
A = xy = x(300 -2x)/3 = (2/3)(x)(150 -x)
This is the equation of a parabola with x-intercepts at x=0 and x=150. The line of symmetry, hence the vertex, is located halfway between these values, at x=75.
The maximum area is enclosed when the dimensions are ...
50 ft by 75 ft
That maximum area is 3750 square feet.
_____
<em>Comment on the solution</em>
The generic solution to problems of this sort is that half the fence (cost) is used in each of the orthogonal directions. Here, half the fence is 150 ft, so the long side measures 150'/2 = 75', and the short side measures 150'/3 = 50'. This remains true regardless of the number of partitions, and regardless if part or all of one side is missing (e.g. bounded by a barn or river).
Answer:
x=28
Step-by-step explanation:
The interior angles of a triangle must add to 180 degrees
Therefore,
79+73+x=180
Combine like terms by adding 79 and 73
152+x=180
To solve for x, get x by itself. Since 152 is being added to x, subtract 152 from both sides. This will cancel the 152, and leave x by itself.
152-152+x=180-152
x=28
So, x is equal to 28 degrees
