We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with 
, 
, 
, and 
respectively since each one is 1 point more than the last.
Add all of these values up and set it all equal to 
.
Now, simplify.
Subtract 
on both sides.
Divide both sides by 
.
Since Louise's score is , the answer is 
.
<h3>Double-checking</h3>
To verify our answer, add the point totals , 
, 
, and 
.
This equals , so we can be sure the answer is correct.
Answer:
- 12 ft parallel to the river
- 6 ft perpendicular to the river
Step-by-step explanation:
The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.
72 = W(2W)
36 = W²
6 = W . . . . . . the width perpendicular to the river
12 = 2W . . . . the length parallel to the river
_____
<em>Development of this relation</em>
Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...
A = xy = x(T -x)/2
Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...
x = (0 +T)/2 = T/2
The corresponding area width (y) is ...
y = (T -T/2)/2 = T/4
Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.
Answer:
the answer is 58 degrees (rounded) I have done a step by step explanation below.
Step-by-step explanation:
hope this helps...
Answer:
3 and 7
Step-by-step explanation:
For problems like these I take the largest number in this case 10, and start writing out what 2 numbers would give me 10. 0+10, 1+9, 2+8, 3+7...while doing that I subtract the numbers as well. thus 3+7=10 3-7=-4
