To answer the question we proceed as follows:
suppose a cone has a height x units and radius x units
volume will be:
v=1/3πr²h
V=1/3πx³ cubic units
when we add 1 unit to the radius and subtract 1 unit from the height the volume will be:
v=1/3π(x+1)²(x-1)
v=1/3π(x³+x²-x-1) cubic units
comparing the above values for volume we conclude that the volume will not be the same. This means the volume won't stay the same after changes.
Answer:what equation ?
Step-by-step explanation:
1265/34=37.2
Since the number of shelves needs to be integer number, so he needs 38 shelves.
The answer is: Two possible solutions which are (0.53, 37.19)
Explanation:
Given:
A = 30°
<span>a = 20 </span>
<span>b = 16 </span>
Now use the law of Cosines:
a² = b² + c² - 2bc*cos(A)
Plug in the values:
20² = 16² + c² - (2*(16)*c*cos(30))
<span>400 = 256 + c² - 32c(0.866) </span>
<span>400 = 256 + c² - 27.71c </span>
<span>c² - 27.71c = 400 - 256 </span>
<span>c² - 27.71c = 144 </span>
<span>c² - 27.71c + 191.96 = 144 + 191.96 </span>
<span>(c - 18.86)² = 335.96 </span>
<span>c - 18.86 = √336.95 </span>
<span>c - 18.86 = ± 18.33 </span>
<span>c = 18.86 ± 18.33 </span>
<span>If c = 18.86 + 18.33, then </span><span>c = 37.19 </span>
<span>If c = 18.86 - 18.33, then </span><span>c = 0.53 </span>
<span>c = (0.53, 37.19) Two solutions!</span>
