Answer:
The volume of the sphere is 288π in³
Step-by-step explanation:
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius
V = ⁴⁄₃πr³
V = ⁴⁄₃ * π * (6in)³
V = π * ⁴⁄₃ * 216 in³
V = 288π in³
The volume of the sphere is 288π in³
The length of side x in simplest radical form with a rational denominator is 8√3
<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>
The given parameters are:
Triangle type = Equilateral triangle
Height (h) = 12
Missing side length = x
The missing side length, x is calculated using the following sine ratio
sin(60) = Height/Missing side length
This gives
sin(60) = 12/x
Make x the subject of the formula
So, we have
x = 12/sin(60)
Evaluate the quotient
So, we have
x = 12/(√3/2)
This gives
x = 24/√3
Rationalize
x = 24/√3 * √3/√3
Evaluate
x = 8√3
Hence, the length of side x in simplest radical form with a rational denominator is 8√3
Read more about triangles at
brainly.com/question/2437195
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Answer:
1000000000000
Step-by-step explanation:
2000^6/8000^2=1000000000000
Let's solve your equation step-by-step.
<span>0=<span>4+<span>n/5
</span></span></span>Step 1: Simplify both sides of the equation.<span>0=<span><span><span>1/5</span>n</span>+4
</span></span>Step 2: Flip the equation.<span><span><span><span>1/5</span>n</span>+4</span>=0
</span>Step 3: Subtract 4 from both sides.<span><span><span><span><span>1/5</span>n</span>+4</span>−4</span>=<span>0−4
</span></span><span><span><span>1/5</span>n</span>=<span>−4
</span></span>Step 4: Divide both sides by 1/5.<span><span><span><span>1/5</span>n/</span><span>1/5 </span></span>=<span><span>−4/</span><span>15</span></span></span><span>n=<span>−20
</span></span>Answer:<span>n=<span>−<span>20</span></span></span>
12%
$68 - 59.9 = $8.1
$8.1/$68 = 0.11911764705
0.11911764705 x100 = 11.911764705
11.911764705 is rounded up to 12
12%
