Width = x
Length = x+18
Assuming the table is rectangular:
Area = x(x + 18)
Therefore:
x(x + 18) <span>≤ 175
x^2 + 18x </span><span>≤ 175
Using completing the square method:
x^2 + 18x + 81 </span><span>≤ 175 + 81
(x + 9)^2 </span><span>≤ 256
|x + 9| </span><span>≤ sqrt(256)
|x + 9| </span><span>≤ +-16
-16 </span>≤ x + 9 <span>≤ 16
</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
</span><span>
But x > 0 (there are no negative measurements):
</span><span>
Therefore, the interval 0 < x </span><span>≤ 7 represents the possible widths.</span><span>
</span>
Answer:
16
Step-by-step explanation:
20 + 16=36 36x2=72
Answer:
Volume = 42.8 cubic centimeters
Step-by-step explanation:
The volume of right circular cone is:
Where
r is the radius
h is the height
We are given height of 9.1 cm
h = 9.1
We aren't given radius explicitly, we are given circumference of 13.3, so we need to figure out radius from that. Lets do this:
So,
r = 2.12
Now, substituting in cone formula, we get the volume to be:
Rounded to nearest 10th is 1 decimal place, so
<u>Volume = 42.8 cubic centimeters</u>
C because the y intercept is 0
