Answer:
9.8 inches
Step-by-step explanation:
<h3>Formula for volume of the sphere is = 4/3πr³</h3><h3>Form and solve the equation for the radius</h3><h3>So: 4/3πr³= 498in³</h3><h3>πr³= 498in³*3/4 which = to 373.5in³</h3><h3>r³= 373.5in³/π</h3><h3>r=∛(373.5in³/π)</h3><h3>calculate r and times the result by 2 for diameter</h3><h3>it will be 9.834...</h3><h3>nearest tenth of an inch means the accuracy is 1 decimal place because nearest tenth= 1/10 or 0.1</h3><h3>So the final answer is 9.8in</h3>
x=23
Simplifying
(3x + -50) + (7x)
Reorder the terms:
(-50 + 3x) + (7x)
Remove parenthesis around (-50 + 3x)
-50 + 3x + (7x) =
Combine like terms: 3x + (7x)
-50 + 10x
Solving
-50 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '50' to each side of the equation.
-50 + 50 + 10x = 180 + 50
Combine like terms: -50 + 50 = 0
0 + 10x = 180 + 50
10x = 180 + 50
Combine like terms: 180 + 50 = 230
10x = 230
Divide each side by '10'.
Simplifying
x = 23
Let 's x the length of the pyramid:
V=x²*h/3
V=1024 and h=12
So x²*12/3=1024
==>x²=1024*3/12
==>x²=256
==>x²=16²
==> x=16 for (x=-16 must be exclude <0)
......brainpower pts pls
Y=-4/3x+300 hope this helps
